using the group of cards just described in this section, the probability of drawing a red five is: choose... .

Answers

Answer 1

The probability of getting a red five utilising the set of cards just discussed in this section is 1 in 56.

The proportion of red five - card in the grouping divided by the entire number of card in the group gives the probability, p, of getting a red five:

p = the sum of the red fives and the cards.

I'll use two instances.

The chance is: p Equals 1 /(4*14) = 1/56 if all of the cards were different, that is, if there is only 1 red-five and four different colours with numbers 1–14 on each.

If a deck of ordinary playing cards has 26 red & 26 black cards, the numbers 1 through 10, plus J, Q, & K, together with two jokers:

Total red fives: 2, total cards: 4*13 + 2, total cards: 52 + 2, total cards: 54. p = 2 / 54 = 1 / 27

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Related Questions

Which of the following statements about sister chromatids is FALSE?A. They are identical copies.B. They are duplicated chromosomes.C. They are attached at their centromeres.D. They are separated during mitosis.E. They replicate during prophase,

Answers

Answer:

Correct answer is E

Explanation:

The sister chromatids replicate during the S phase(synthesis phase) , rather than prophase.

The sequence starts with : interphase G1 , interphase S, interphase G2 , then prophase during mitosis.

how does the structure of the cell relate to the function of the tissue

Answers

Answer:It determines how the cell will function, as well as the basic structure of that cell. All of the functions for cell expansion, growth and replication are carried out in the cytoplasm of a cell. Tissue is a group of cells that have similar structure and that function together as a unit.

the organisms that feed on dead and decaying matter are called
A. Saprotrophs
B. Autotrophs
C. Heterotrophs
D. Parasite ​

Answers

The organisms that feed on dead and decaying matter are called Saprotrophs.

An organism that feeds on dead and decaying organic matter is called a saprotroph. These organisms are heterotrophic, which means that they obtain their food from other sources. They are important in the ecosystem because they break down dead organic matter and recycle it back into the soil, making nutrients available to other living organisms

Answer:

A. Saprotrophs

Explanation:

Saprotrophs are organisms that obtain their nutrients by feeding on dead and decaying matter. They play a crucial role in the ecosystem by decomposing organic material and recycling nutrients back into the environment.

These organisms secrete enzymes that break down complex organic compounds into simpler substances, such as sugars and amino acids, which they can absorb and utilize for their own growth and energy needs. Examples of saprotrophs include fungi (such as mushrooms and molds) and certain bacteria.

Unlike autotrophs, which can produce their own food through photosynthesis or chemosynthesis, saprotrophs rely on external sources of organic matter for their nutrition. They actively decompose dead plants, animals, and other organic materials, aiding in the process of nutrient recycling and decomposition.

Heterotrophs, on the other hand, are a broader category of organisms that obtain their nutrients by consuming other living or dead organisms. This includes saprotrophs, as well as other types of organisms such as herbivores, carnivores, and omnivores.

Parasites, meanwhile, are organisms that live in or on other organisms, known as hosts, and obtain their nutrients from the host while causing harm or damage to it. Unlike saprotrophs, parasites typically rely on a living host for their sustenance rather than feeding on dead and decaying matter.

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A single gene with two alleles control variation in haemoglobin type in sheep. There are three different phenotypes corresponding to genotypes S^AS^A S^AS^B and S^BS^B respectively in a flock of 175 sheep the frequency of allele S^A was found to be 0.6 and frequency of allele S^B WAS found to be 0.4

Answers

Populations in Hardy-Weinberg equilibrium express the same allelic and genotypic frequencies through generations. Number of individuals expressing each phenotype: 63 sheep S^AS^A, 84 sheep S^AS^B, 28 sheep S^BS^B.

What is Hardy-Weinberg equilibrium?

The Hardy-Weinberg equilibrium theory states that allelic and genotypic frequencies in populations that is in equilibrium remain the same through generations. No evolutive forces are acting on these populations, so no evolution occurs.

Assuming a diallelic gene,

Allelic frequencies

The frequency of the dominant allele f(X) is pThe frequency of the recessive allele f(x) is q

Genotypic frequencies

p² (Homozygous dominant genotypic frequency), 2pq (Heterozygous genotypic frequency), q² (Homozygous recessive genotypic frequency).

The addition of the allelic frequencies equals 1

p + q = 1.

The sum of genotypic frequencies equals 1

p² + 2pq + q² = 1

In the exposed example,

Alleles          Frequencies

S^A      f(S^A) = p = 0.6S^B      f(S^B) = p = 0.4

Genotypes

S^AS^A ⇒ homozygousS^AS^B ⇒ heterozygousS^BS^B ⇒ homozygous

We need to get the number of animals expressing each genotype and phenotype. To do it, we just need to use allelic frequencies and calculate  genotypic frequencies (p², 2pq, and q²), and then multiply these values by the total number of animals (N = 175).

Genotypic and Phenotypic frequencies

F(S^AS^A) = p² = 0.6² = 0.36

F(S^AS^B) = 2pq = 2 x 0.6 x 0.4 = 0.48

F(S^BS^B) = q² = 0.4² = 0.16

Number of individuals expressing each phenotype

S^AS^A ⇒ 0.36 x 175 = 63 individualsS^AS^B ⇒ 0.48 x 175 = 84 individualsS^BS^B ⇒ 0.16 x 175 = 28 individuals

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Complete question

A single gene with two alleles control variation in haemoglobin type in sheep. There are three different phenotypes corresponding to genotypes

S^AS^A S^AS^B and S^BS^B

In a flock of 175 sheep the frequency of allele S^A was found to be 0.6 and frequency of allele S^B WAS found to be 0.4.

Using the hardy weinberg equation calculate the number of sheep with each phenotypes in the flock show your working

What occurs at stage A?

Water cools and turns to liquid.
Water becomes runoff or groundwater.
Water vapor clumps around dust particles.
Water evaporates from surfaces.?

Answers

Answer:

evaporation

Explanation:

Water evaporates at surface

Which of the following does not yield wool ? (a) yak (b) camel (c) goat (d) woolly dog​

Answers

Answer: (D) Woolly dog

Explanation:

Why is option A (yak) not correct?

The Himalayan region is home to the yak, a type of cattle. They have a reputation for having long, shaggy hair, which is used to create many different textiles, including wool. Yak wool is popular because it is soft, warm, and long-lasting and is frequently used to manufacture clothes and blankets.

Why is option B (camel) not correct?

Camels are widely known for their capacity to survive in difficult desert situations, and their wool is a valuable resource in many parts of the world. Clothing, rugs, and other textiles are frequently made from camel wool because it is cosy and soft.

Why is option C (goat) not correct?

Goats are another typical source of wool, especially in warmer locations where other types of wool are less common. Depending on the breed of goat and the quality of the wool, the term "mohair" or "cashmere" is frequently used to describe the wool from goats. Cashmere is appreciated for its warmth and luxurious feel, while mohair is renowned for its softness, sheen, and insulating qualities.

Why is Option D (woolly dog) correct?

Despite the fact that there are numerous dog breeds with long, shaggy hair, none of them actually produce true wool. Dog hair is not often used to produce textiles since it is formed of a different kind of fibre than wool. Although some dog hair can be spun into yarn and used for crafts, it is not regarded as a true wool and is not widely utilised for the manufacturing of textiles.

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Which of these molecules complete the process of cellular respiration?
glucose + oxygen ------> water +___ +____.
a. ATP, carbon dioxide c. NADH, oxygen
b. ADB, oxygen d. oxygen, ADP

Which of these molecules complete the process of cellular respiration?glucose + oxygen ------> water

Answers

The molecules that complete the process of cellular respiration are as follows: ATP, carbon dioxide (option A).

What is cellular respiration?

Cellular respiration is the process by which cells obtain chemical energy by the consumption of oxygen and the release of carbon dioxide.

Cellular respiration is the major biological process through which living cells derive energy needed for their metabolic activities.

Cellular respiration combines glucose in the presence of oxygen to produce water, carbondioxide and large amount of energy as follows:

Glucose + oxygen = water + ATP + carbondioxide

Therefore, energy (ATP) and carbondioxide are the products of the respiration.

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what are some ways to ruse different types of paper so it does not end up in garbage?​

Answers

You can use old pieces of paper as scratch paper, make papier mache, use it as padding for packages, or make origami.

Tetrapods evolved from a finned organism that lived in the water. However, this ancestor was not like most of the fish we are familiar with today. Most animals we call fishes today are ray-finned fishes, the group nearest the root of this evogram.

Answers

The chordates include four-limbed vertebrates known as "tetrapods":Frogs, toads, and salamanders are amphibians. These species are both aquatic and land-based.

Although the majority of them have lungs in their adult forms, they can also breathe via their skin.Reptilia includes lizards, turtles, snakes, and crocodiles.The tetrapods (represented by Charles Darwin) and all other extinct creatures in the evogram, in contrast, have what we refer to as "fleshy fins" or "lobe fins." They have skin and muscle covering their limbs, in other words. Lepidotrichia were once present at the tips of these fleshy limbs in some species, such coelacanths, but they are now absent in the majority of fleshy-finned creatures.

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The pictures below show two types of telescopes.

Which of these statements is most likely true about the ability of the telescopes to gather radiations from distant objects in space?

A. Both the telescopes gather the same amount of radiations.
B. Neither of the telescopes gather sufficient amount of radiations.
C. The refracting telescope gathers more radiations than the reflecting telescope.
D. The reflecting telescope gathers more radiations than the refracting telescope.

The pictures below show two types of telescopes.Which of these statements is most likely true about the

Answers

The reflecting telescope gathers more radiation than the refracting telescope. Therefore, option (D) is correct.

Reflecting telescopes use mirrors to gather and focus light, allowing for larger apertures and higher light-gathering capabilities compared to refracting telescopes, which use lenses. This design difference typically gives reflecting telescopes an advantage in terms of gathering more radiation from distant objects in space.

However, without specific information about the sizes or specifications of the telescopes in the pictures, this inference is based on the general characteristics of reflecting and refracting telescopes.

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You heat up a can of chicken noodle soup on the stovetop. What kind of energy transfer is primarily responsible for heating the soup?
Group of answer choices

Convection

Radiation

Electromagnetic

Conduction

Answers

Convection; this is because the hot liquid will rise while the cool will sink thus creating a cycle heating up the soup on the stove. Hope this helps :)

Researchers have been studying different types of grasses and have learned that certain species will benefit from being grazed by other organisms. What type of relationship would this behavior represent?

Answers

The behavior you described, where certain species of grass benefit from being grazed by other organisms, represents a mutualistic relationship. Mutualism is a type of symbiotic relationship in which both participating organisms derive benefits from their interaction.

In this case, the grasses benefit from being grazed because the act of grazing stimulates their growth and helps them maintain optimal health. Grazing removes the top portions of the grass, which promotes new shoots and stimulates lateral growth.

Additionally, grazing can prevent excessive shading and allow sunlight to reach lower parts of the grass, aiding in photosynthesis.

On the other hand, the organisms that graze on the grass, such as herbivores or grazers like cattle or certain insects, benefit from the food source provided by the grass. Grazing animals obtain nutrition from consuming the grass, which is a source of energy and nutrients.

Thus, the mutualistic relationship between the grasses and the organisms that graze on them is characterized by reciprocal benefits. The grasses benefit from the stimulation of growth and maintenance, while the grazers benefit from the food resource.

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why does the liver accumulate blood after death of animal​

Answers

It is a settling of the blood in the lower, or dependent, portion of the body postmortem, causing a purplish red discoloration of the skin. When the heart stops functioning and is no longer agitating the blood, heavy red blood cells sink through the serum by action of gravity.

1. Which of the following is NOT true of a hotspot?

A. The Hawaiian islands are an example of a hotspot.

B. Hotspots can be active volcanoes

C. Hotspots are found within a tectonic plate.

D. Hotspots can be found at the edges of tectonic plates​

Answers

Answer:

A

Explanation:

Hotspots can be active volcanoes

The statement which is not true about hotspots is that Hotspots can be active volcanoes. Thus, the correct option for this question is B.

What are examples of hotspots?

Examples of hotspots are the Hawaiian Hotspot, the Yellowstone Hotspot, the Reunion Hotspot, Iceland Hotspot. These hotspots are found in the ocean, and on continents. These regions significantly create a chain of volcanoes, as a plate moves across a relatively stationary mantle plume.

According to the context of this question, the Hawaii hotspot has created at least 129 volcanoes, so it is an example of a hotspot. These hotspots are found at the edges and somehow within the tectonic plates.

Therefore, the statement which is not true about hotspots is that Hotspots can be active volcanoes. Thus, the correct option for this question is B.

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The characteristic of a muscle to be stretched is known as
O a. contractility.
b. extensibility.
c. elasticity.
d. excitability

Answers

please mark brainlist

b. extensibility

the characters of a muscle to be stretched is known as extensibility

The image shows an energy pyramid. Vulture Coyote Prairie dog Grass Which statement about how energy flows through this ecosystem is supported by this ecological pyramid? OA. The highest trophic level has the most available energy because vultures are a tertiary consumer. B. The organisms of the second trophic level obtain their energy from the coyotes located in the third trophic level. C. The grasses' trophic level has the most energy, but only some of that energy moves to the second trophic level. D. The third trophic level is made up of prairie dogs that get their matter and energy from the grasses.

Answers

The third trophic level is made up of prairie dogs that get their matter and energy from the grasses (option d).

The energy pyramid depicted in the image illustrates the flow of energy through an ecosystem. In an energy pyramid, each level represents a trophic level, indicating the position of organisms in a food chain. The pyramid narrows as it ascends, indicating the decrease in available energy at higher trophic levels.

In this specific pyramid, the lowest trophic level is occupied by the grass. This makes sense because grass is a producer that captures energy from the sun through photosynthesis. As a result, it possesses the most energy within the ecosystem.

Moving up the pyramid, the second trophic level is occupied by the prairie dogs. They are herbivores that primarily consume grass for their energy needs. This demonstrates that the prairie dogs acquire their matter and energy from the grasses, supporting option D.

The third trophic level contains the coyotes, which are tertiary consumers. Tertiary consumers feed on other consumers, not producers. Therefore, option A is incorrect since vultures, not coyotes, are tertiary consumers in this ecosystem.

Option B is also incorrect because the coyotes do not obtain their energy from other coyotes located in the third trophic level. They acquire their energy indirectly from the grasses through the prairie dogs.

Finally, option C is incorrect as it states that the grasses' trophic level has the most energy. While the grasses are indeed the primary producers and possess the most energy, not all of that energy moves to the second trophic level.

Thus, the correct statement supported by the ecological pyramid is option D: The third trophic level is made up of prairie dogs that get their matter and energy from the grasses.

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The phrase ______________________ describes moving or fresh water.


Lotic


Lentic


Watershed


Brackish

Answers

Answer: The phrase Lotic describes moving or fresh water.

Answer:

Lotic

Explanation:

lotic (from the Latin lotus, meaning washing), refers to running water habitats such as rivers and streams.

Golgi apparatus is involved in processing of:
a. Salivary amylase
b. Glucokinase
c. Phenylalanine hydroxylase
d. EcoR1

Answers

Answer:

Explanation:

the Golgi apparatus is involved in the processing of :

salivary amylase

this is because the GC is involved in the secretion of proteins and salivary amylase is protein secreted from the salivary glands

Visking tubing is made of a plastic material through which small molecules can pass.
In this investigation, the concentration of glucose in the distilled water was measured at the start andthen every five minutes.

The results are shown in the table.

(i) Describe the results of this investigation.

(II) Explain the rresults of this investigation ​

Visking tubing is made of a plastic material through which small molecules can pass. In this investigation,

Answers

This summary should include details such as the sample size, the variables measured, the statistical analysis performed, and the conclusions drawn.

What is  analysis ?

Analysis refers to the process of examining, interpreting, and evaluating data, information, or a situation in order to identify patterns, relationships, and insights. It involves breaking down complex or large amounts of information into smaller parts to better understand and make sense of it.

What is an order ?

An order is a directive or command given by a person or an authority to someone else to perform a particular task, action, or behavior. It is a request or an instruction that is intended to be followed and implemented in a specific way.

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In peas, Round seeds are dominant over Wrinkled, and Yellow is dominant over Green. A wrinkled, yellow (aaBb) plant is crossed with a round, yellow(AaBb) plant and a large number of offspring are produced. Given the results below, calculate the overall Chi-Squared (observed) value for these data. Hint: You will first need to determine the
expected Phenotypic ratio for this cross.
66.67
Wrinkled, Yellow 250
Wrinkled, Green 150
Round, Yellow 250
Round, Green 150

Answers

In peas, Round seeds are dominant over the Wrinkled and Yellow is dominant over the Green. Wrinkled, yellow (aaBb) plant is crossed with round, yellow(AaBb) plant and large number of offspring are produced. Overall Chi-Squared value is : 66.67.

What is meant by phenotype?

In genetics, phenotype is the set of observable characteristics or traits of an organism. The term covers the morphology of organism, its developmental processes, biochemical and physiological properties, behavior and the products of behavior.

Genotype of a person is their unique sequence of DNA. This term is used to refer to two alleles a person has inherited for particular gene. Phenotype is the detectable expression of this genotype which is a patient's clinical presentation.

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Why does Marcie lie for Carl at the end of the story "Burning Bright"?

Answers

Answer:

Because she likes Carl.

Household bleach has a pH between 12 and 13. From this information, which of the following best describes the bleach solution?

Answers

In the down you have the answer, I hope it helps you...
Household bleach has a pH between 12 and 13. From this information, which of the following best describes

Which of the following is a health effect of a diet high in saturated fats?
A. Increased life span
B. Decreased risk of stroke
C. Increased blood flow
D. Increased risk of heart attack
E. Decreased risk of atherosclerosis

Answers

Answer:

I think that fats lead to hardening of the arteries and thus affect the heart ... this is in my opinion

So I think it's C

Answer:

decrease in body fat

Explanation:

Which of the following is a health effect of a diet high in saturated fats? A. Increased life span B.

Mark this and return
How is energy related to the change of state
represented by the model?
O Atoms gain energy as a gas changes to a solid.
Atoms gain energy as a gas changes to a liquid.
Atoms lose energy as a gas changes to a solid.
Atoms lose energy as a gas changes to a liquid.

Mark this and returnHow is energy related to the change of staterepresented by the model?O Atoms gain

Answers

The energy is related to the change of state represented by the model by: D. Atoms lose energy as a gas changes to a liquid.

What is Atoms?

A model of the transition from a gas to a liquid is shown in the accompanying image. It demonstrates how atoms or molecules change from being widely scattered as in a gas to being concentrated as in a liquid.

The atoms in this process move from a higher-energy state  to a lower-energy state releasing or losing energy in the process. The most common kind of energy loss is heat.

Therefore the correct option is d.

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Which letter would represent the Sun on the
HR-Diagram below?
A
D
B
A
Brightness
C
B
Temperature
E
D and E
с
The Science Duo
x
QUE
*

Which letter would represent the Sun on theHR-Diagram below?ADBABrightnessCBTemperatureED and EThe Science

Answers

Answer: A

Explanation:

It has the highest temperature + brightness

A. constuct an argument that tells how the wildfire of 1988 affects populations of birds and animals in the Yellowstone region. support your answer eith evidence

B. predict how the bird and animal populations changed from 1988 to 2000

C. describe the effect of the 1988 wildfire on the pine tree population from 1988 to 2000
PLS HELPP THIS DUE IN THE NEXT 30 MINS​

A. constuct an argument that tells how the wildfire of 1988 affects populations of birds and animals

Answers

The recovery of the pine tree population may have been uneven across the burned areas, with some regions experiencing more successful regeneration than others.

A. The wildfire of 1988 in the Yellowstone region had a significant impact on the populations of birds and animals. The intense and widespread nature of the fire resulted in the destruction of vast areas of habitat and vegetation, leading to immediate and long-term consequences for wildlife. Research conducted after the fire indicates that certain bird species, such as the Black-backed Woodpecker and Mountain Bluebird, benefited from the increased availability of post-fire habitat, which provided favorable conditions for nesting and foraging. However, many other bird species, especially those that relied on mature forests and understory vegetation, experienced a decline in population numbers due to the loss of suitable habitat.

Similarly, animal populations were also affected. Large mammals such as elk and deer faced challenges in finding adequate food sources as their grazing grounds were consumed by the fire. However, some small mammal species, like mice and voles, benefited from the regrowth of vegetation after the fire. Predatory animals, such as coyotes and wolves, experienced changes in prey availability and distribution, which likely impacted their populations.

B. Predicting the changes in bird and animal populations from 1988 to 2000 is challenging without specific data from that time period. However, considering the regenerative nature of ecosystems and the potential for post-fire habitat recovery, it is plausible that certain bird and animal populations gradually rebounded during this period. Species that rely on early-successional habitat, such as the Black-backed Woodpecker, may have experienced population growth as the burned areas provided suitable conditions for nesting and foraging. Conversely, bird and animal species dependent on mature forests may have continued to face challenges in finding suitable habitat, potentially leading to population declines or slower recovery rates.

C. The 1988 wildfire had a notable effect on the pine tree population in the Yellowstone region from 1988 to 2000. The fire resulted in the widespread destruction of pine trees, particularly the lodgepole pine, which dominates the region's forests. However, fires also play a crucial role in the natural regeneration of forests. Following the fire, lodgepole pine forests underwent a process called serotiny, where the heat from the fire triggers the release of the tree's seeds. This phenomenon led to a surge in pine tree regeneration in the years immediately following the fire.

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why is water considered to be polar molecule

Answers

Answer:

Explanation: A water molecule, because of its shape, is a polar molecule. That is, it has one side that is positively charged and one side that is negatively charged. The molecule is made up of two hydrogen atoms and one oxygen atom. The bonds between the atoms are called covalent bonds, because the atoms share electrons. The hydrogen atoms have one electron each.

Because they share those electrons with the oxygen atom, the electrons tend to stay close to the oxygen atom and the outside of the hydrogen atom tends to be positively charged. The oxygen atom has eight electrons. Most of those tend to stay away from the hydrogen atoms, and cause the outside of the oxygen atom to have a negative charge.

Answer: It has one side that is positively charged and one side that's negatively charged.

short note sentence describe the terms pure culture and mixed culture​

Answers

Answer:

A pure culture consists of only one type of microbe while a  mixed culture has two or more than two microbes.

Explanation:

A pure culture consists of only one type of microbe.

While a mixed culture consists of more than one type of microbes. such cultures may comprise of different species of bacteria or a group of bacteria, viruses and other pathogens.

In mixed culture the microbe species living together may harm each other existence.

(HELP FAST) A slanting, horizontal line is shown. On the extreme left, there is a label that says Common Ancestor. Along the slanting, horizontal line there are five dots labeled from left to right as: 1, 2, 3, 4, and 5. There is one vertical line between each of the consecutive five dots. The lines are labeled from left to right as Perch, Frog, Pigeon, Rats, and Human. A text box below the branching tree diagram is labeled Derived Shared Characteristics. In the box it says from left to right Terrestrial during all stages, Jaws, Walking on two legs, Mammary glands and hair, and Four limbs.

Look at the possible derived shared characteristics, shown in the text box. Think about where these should be placed along the branching tree diagram. Where in the branching tree would you most likely write "lives on land during all life stages"? Explain your answer.

Answers

"The derived shared characteristic 'Terrestrial during all stages' should be placed at the base of the tree diagram."

SupThe characteristic "Terrestrial during all stages" is a shared characteristic among all five species being compared in the branching tree diagram. This means that it is a characteristic that all of these species have in common, and therefore it is likely that it was present in their common ancestor.

Since the base of the tree represents the common ancestor of the species being compared, it makes sense to place this characteristic at the base of the tree. This also helps to show that this characteristic is a defining trait of the group of species being compared and that it has been present in their lineage since their common ancestor.

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match the correct definition with the pattern of natural selection. items (3 items) (drag and drop into the appropriate area below) extreme phenotypes have advantage over intermediate phenotypes.one extreme phenotype has advantage over other phenotypes.intermediate phenotype has advantage over both extremes.

Answers

Natural selection can result in microevolution (change in allele frequencies), with the population's abundance of fitness-increasing alleles rising.extreme phenotypes have advantage over intermediate phenotypes

The term "phenotype" refers to a collection of an organism's outwardly apparent traits or attributes. It is derived from the Ancient Greek terms "phan," which means "to appear, display, or shine," and "tpos," which means "mark, type."  The expression alludes to an organism's morphology, or physical form and structure, as well as to its physiological and biochemical traits, behavior, and the results of that behavior. The two main factors that determine an organism's phenotype are its genotype, or how its genetic code is expressed, and the influence of its environment. Both factors might interact, which would have a further effect on phenotype. A species is said to as "polymorphic" if it has two or more different phenotypes coexisting in the same population. Labrador Retrievers' coloring is a well-known instance of polymorphism

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Other Questions
Suppose that F1 = +9.0 N and the mass of the box is 3.0 kg. Find the magnitude and direction of F2 when the acceleration of the box is (a) +5.0 m/s2 , (b) 5.0 m/s2 , and (c) 0 m/s2 . What did the Monroe Doctrine do?A.It established an American protectorate over the Western Hemisphere.B.It declared war on Spain because of Spain's colonization of South America.C.It encourage European colonization of the Americas.D.It formed an alliance between the United States and Britain. The length of a rectangle is four times its width, If the perimeter of the rectangle is 90 m, find its length and width. Write JavaScript code to declare a variable of the name favoriteColor and give it the value red Select the correct answer.Read the sentence.In his farewell address, President Washington acknowledged that taxes, though inconveneint and unpleasant, generate revenue.Which rule can be used to correct the spelling of the underlined word?A. Change y to i when adding an ending.B. Drop a final e when adding an ending that begins with a vowel.C. Use i before e except after c.D. Double the final consonant when adding an ending that starts with a vowel. An unplanned decrease in inventories results in Group of answer choices a decrease in planned investment. an increase in planned investment. actual investment that is greater than planned investment. actual investment that is less than planned investment. How were the various peoples of Europe and Asia affected by travel along the Silk Road?A. They changed their currency systems to make buying products easier. B. They blended their artistic traditions from other cultures. C. They discarded their religious beliefs when they learned of other religions. D. They created writing systems when they learned papermaking techniques. Can someone please answer ASAP! The process by which a phagocyte moves toward a chemical signal at the site of an infection is called? The city of Raleigh has 9200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 109 said they'd vote for Brown, 235 said they'd vote for Feliz, and 6 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent. 7th Grade Math Question. Suppose a private or federal program to extinguish long term fires in abandoned underground coal mines would reduce coal burning gas released into the atmosphere. This would mean less pollution from oxides of sulfur and carbon. The benefits would be $50 million annually for 50 years, and the cost would be $750 million spent now. Assume a 3% interest. Calculate the levelized cost factor, the annual cost factor, and the net benefit. Is this project feasible at this rate? A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem. How many millimeters are in 1 m A scatter plot with a line is shown:Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 2 and 7, 15.Which statement is most likely correct about the line? It can be a line of best fit because it is close to most data points. It can be a line of best fit because it passes through all the data points. It cannot be a line of best fit because it is not close to most of the points. It cannot be the line of best fit because it does not show a positive association. In your opinion, how did music influence the life of the Medieval and Renaissancecomposers? GSK is planning to spin off its Consumer Healthcare division. Analysts expect its dividends to start at 0.5 per year per share in the spin-off year and grow at a rate of 4% per year afterwards. Comparable Consumer Healthcare firms have an asset beta of 0.7. Assume a debt-to-capital ratio of 70% for the spin-off and a debt beta of 0. Risk free rate is 3.0%, market risk premium 8.0%.A. Valuation.(i) Estimatethefairinitialsharepriceofthespin-off.(ii) How would your answer change if the new firm cuts its dividend next year to 0.1 pershare but recovers it again to the expected level in the year after?[20 marks]B. Risk. GSK has an asset beta of 0.4 and a debt-to-capital ratio of 0.7 now, prior to the spin-off. Analyst estimate the Consumer Healthcare division to account for 50% of its 100 billion enterprise value.(i) WhatisGSKscurrentequitybeta?(ii) What will be GSKs equity beta after the spin-off? There are four major stages in the ____________ of urine. A company's balance sheet shows: cash $40,000, accounts receivable $25,000, office equipment $59,000, and accounts payable $26,000. What is the amount of stockholders' equity Vehicles approaching a certain road junction from town A can either turn left, turn right or go straight on. Over time it has been noted that of the vehicles approaching this particular junction from town A, 55% turn left, 15% turn right and 30% go straight on. The direction a vehicle takes at the junction is independent of the direction any other vehicle takes at the junction. (i) Find the probability that, of the next three vehicles approaching the junction from town A, one goes straight on and the other two either both turn left or both turn right.