Answer:
Step-by-step explanation:
The bumblebee flutters its wings more times in 1 minute, as it flutters its wings 7,800 times in one minute, whereas the hummingbird flaps its wings 80 times in one second, which translates to 4,800 times in one minute.
To understand this calculation in more detail, we can use unit conversions and multiplication. Since the hummingbird's wing flaps are given in seconds and the bumblebee's wing flutters are given in minutes,
we convert the hummingbird's wing flaps from seconds to minutes by multiplying by 60. We then compare the total number of wing flaps for each animal and find that the bumblebee flutters its wings more times in one minute than the hummingbird flaps its wings.
This is due to the bumblebee's higher frequency of wing movement, which enables it to achieve more wing flutters in a given amount of time.
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One morning, the temperature in Oakdale was -4°F. By noon, a strong wind had caused the temperature to drop another 3°F. What was the temperature at noon in Oakdale?
Answer:
-7°F
Step-by-step explanation:
if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.Answer: -7
Step-by-step explanation: if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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100 students have a mean IQ of 98.9 with standard deviation 5.2. We wish to estimate with 99% confidence the mean IQ of all students. We should use:
About 99.7% of individuals have IQ scores in the interval 100 ± 3 ( 15 ) = [ 55 , 145 ] .
What is IQ ?A total score obtained from a series of standardized tests or subtests created to gauge human intelligence is known as an intelligence quotient (IQ). The psychologist William Stern created the abbreviation "IQ" for the German term Intelligent quotient, which he used to refer to a scoring system for intelligence tests at the University of Breslau that he promoted in a 1912 book.
In the past, a person's IQ was determined by dividing their mental age score—obtained after taking an intelligence test—by their chronological age, which was also stated in years and months. To get the IQ score, the resulting fraction (quotient) was multiplied by 100. The raw score for contemporary IQ tests is converted to a normal distribution with a mean of 100 and a standard deviation of 15.
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In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours
Answer:
-15 degrees
Step-by-step explanation:
3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 to describe the relationship.
In the given equation r = 2/5 t "r" is the dependent variable.
Dependent variables:In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.
An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.
A dependent variable is a variable whose value depends on the value of one or more other variables in the equation
Here we have
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups.
She writes the equation r = 2/5 t to describe the relationship.
In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.
Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.
The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.
Therefore,
In the given equation r = 2/5 t "r" is the dependent variable.
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Complete Question:
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
A person decides to join a spa that charges a FIXED fee of $20. The spa also
charges $5 per day.
Write down an equation that model the situation as a function of the
amount of days (x) the person decides to go to the spa.
C(x) =
Answer:
c(x) = 5x + 20
Step-by-step explanation:
there is a fixed membership fee of 20$ and each day cost 5$
What is the value of the bisecting angle, x, marked on this square?
The four corners of a square are 90 degrees.
They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.
The lines form triangles, which have 3 angles that need to equal 180 degrees.
Two of the angles are 45, so 45 + 45 = 90 degrees.
X = 180 -90 = 90 degrees.
Answer:
90 degrees
By 90 * 4 is 360
Step-by-step explanation:
Samantha thought of a number N, divided it by 5, and add 4. Then she told the result R to Kelly. Find the domain and range of this function.
The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = \(\{-\infty, \infty\}\)
The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = \(\{-\infty, \infty\}\)
The number N thought by Samantha divided by5 is expressed as;
\(\dfrac{N}{5}\)
If the result is added to 4 and stored as R, then;
\(R = \dfrac{N}{5}+4\)
This gives the required result
The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = \(\{-\infty, \infty\}\)
The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = \(\{-\infty, \infty\}\)
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Find the slope between (-1,4) and (2,3)
Answer:
-1/3
Step-by-step explanation:
slope=y2-y1/x2-x1=3-4/2--1=-1/3
answer quickly
Write an equation of the cosine function with amplitude 2 and period 6π.
The cosine function with amplitude 2 and period 6π is given by:
y = 2cos(x/3).
What is the standard cosine function?The standard cosine function is given by:
y = Acos(Bx).
In which:
The amplitude is A.The period is of 2pi/B.For a cosine function with amplitude 2 and period 6π, we have that A = 2 and B = 1/3, hence:
y = 2cos(x/3).
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Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
25/99 and the ones you selected
Step-by-step explanation:
Irrational numbers are decimals that do not repeat. 25/99 does not repeat but goes on forever. Same with the other choices like square root of 17 and 18, as well as 0.48...
Hope this helps!
:)
jane has a kitten named Fluff-ball. Fluff-ball usually sleeps in a cat bed 20 meters from the kitchen and hardly ever moves. But whenever Jane opens a can of cat food, the kitten comes running into the kitchen as fast as he can. If Fluff-ball takes 5 seconds to reach the kitchen, how fast can he run? Please answer in meters per second.
Fluff-ball can run at a speed of 4 meters per second.
What is speed ?Speed is a measure of how fast an object is moving. It is typically measured in units of distance per unit time, such as meters per second (m/s) or miles per hour (mph). Speed is a scalar quantity, meaning it has magnitude but no direction.
According to given information :Fluff-ball can run at a speed of 4 meters per second.
This is because speed is equal to distance divided by time, and in this case the distance is 20 meters and the time is 5 seconds:
Speed = distance/time = 20 meters/5 seconds = 4 meters per second.
Therefore, Fluff-ball can run at a speed of 4 meters per second.
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I NEED HELP !!!!
Consider the reflection of ΔABC across the line of reflection, Line P T.
Which statements must be true? Check all that apply.
A'A = C'C
C'Q = QC
Line P T⊥ A'A
C'C ⊥ B'B
A'A || B'B
m∠TRB = 90°
Answer:
2,3,5,6 on Edge 2020
Step-by-step explanation:
Answer:
2,3,5,6
Step-by-step explanation:
Dans mother bought a car for 15,000 five years ago. She wants to sell it to Dan based on 12% annual rate of depreciation. At this rate, how much will Dan pay for the car?
Step-by-step explanation:
= P [ 1-R/100 ] T
= 15000 [ 1-12/100] ⁵
= 15000 [100-12/100]⁵
= 15000 [0.88]⁵
= 15000 × 0.52773
= 7915.95..
i hope it's correct....
Solve for x.
O A. x=6
O B. x=19
O C. x=32
O D. x=38
Answer:
B: x=19
Step-by-step explanation:
You want to add (x+18)+(6x+29) and set that equal to 180degrees.
(x+18)+(6x+29)=180
7x+47=180
7x=133
x=19
A study was conducted of 155 species of mammals worldwide. The
scientists conducting the study found that 28 species could be found
in Europe and 73 species could be found in North America; and of
those, 28 could be found in both continents.
What is the probability of randomly selecting a species of mammal
that is neither found in Europe nor North America? Write your answer
as a fraction.
51.6is the likelihood of the given sample.
The likelihood of choosing is what?A population unit's likelihood of being included in a sample obtained using probability sampling is known as probability of selection. Interpretation, each subgroup of a population is assigned a probability of being chosen in the sample according to the sampling design.P (X) is equal to n/N, where n is the number of favorable outcomes and n is the total number of outcomes that are feasible.(N-n/N-(n-1)). The probability P is given here, along with the sample size n and the population N. The result will be P = n/N if 1-(N-n/n) is now cancelled. Additionally, it is required that a sample have a possibility of being chosen more than once: P = 1-(1-(1/N)) n.Explanation:
P (X) is equal to n/N,
155/3 = 51.6.
The likelihood of choosing at random a mammal species that is not present in either North America or Europe is 51.6.
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51.6 is the likelihood of the given sample.
The likelihood of choosing is what?A population unit's likelihood of being included in a sample obtained using probability sampling is known as probability of selection.
Interpretation, each subgroup of a population is assigned a probability of being chosen in the sample according to the sampling design.
P (X) is equal to n/N, where n is the number of favorable outcomes and n is the total number of outcomes that are feasible.
(N-n/N-(n-1)). The probability P is given here, along with the sample size n and the population N. The result will be P = n/N if 1-(N-n/n) is now cancelled. Additionally, it is required that a sample have a possibility of being chosen more than once: P = 1-(1-(1/N)) n.
P (X) is equal to n/N,
155/3 = 51.6.
The likelihood of choosing at random a mammal species that is not present in either North America or Europe is 51.6.
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begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Alejo records the time it takes
to download a variety of file types. How is the
download time related to the file size? Explain.
The ratios for each pair of data are
so the download time and the file size are
The ratios for each pair of the data are the same, so the download time and the file size are proportional.
What is a proportional relationship?A proportional relationship is a linear function that has the following features.
Slope as the constant of proportionality.Intercept of zero.Hence the output variable y is given by the multiplication of the input variable x and the constant of proportionality k, hence the equation is:
y = kx.
A set of data is only proportional if the division of the output by the input is the same for all pairs of values.
For this set of data, this division is given as follows:
1.25/25 = 0.05 MB/s.3.6/72 = 0.05 MB/s.6.25/125 = 0.05 MB/s.Same ratios, hence the measures are proportional.
Missing InformationThe data is given by the image at the end of the answer.
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Someone please help me with my homework!!
y varies inversely with x. If y = 7 when x = -4, find y when x = 5.
Answer:
is it 8.75 ?
Step-by-step explanation:
-4 5
---- ---- = (7×5) ÷4
7 x
Write down two factors of 24 that are primenumber
the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.
There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.
The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.
This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.
In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.
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A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and the cassava that the country pr
The percentage of B5 produced from coconut oil is 0.045 X% of the imported diesel fuel. The percentage of E10 produced from molasses and cassava is 0.1143 Y% of the imported petrol.
To calculate the volume of B5 (a biodiesel blend of 5% biodiesel and 95% petroleum diesel) that can be produced from the coconut oil produced in Fiji, we need to know the total volume of coconut oil produced and the conversion efficiency of the trans-esterification process.
Let's assume that the volume of coconut oil produced in Fiji is X million litres, and the conversion efficiency is 90%. Therefore, the volume of biodiesel (CME) that can be produced from coconut oil is 0.9X million liters. Since B5 is a blend of 5% biodiesel, the volume of B5 that can be produced is 0.05 × 0.9X = 0.045X million liters.
To calculate the total volume of E10 (a gasoline blend of 10% ethanol and 90% petrol) that can be produced from the molasses and cassava, we need to know the total volume of molasses and cassava produced and the conversion efficiency of ethanol production.
Let's assume that the total volume of molasses and cassava produced is Y million liters, and the conversion efficiency is 80%. Therefore, the volume of ethanol that can be produced is 0.8Y million liters. Since E10 is a blend of 10% ethanol, the total volume of E10 that can be produced is 0.1 × 0.8Y = 0.08Y million liters.
The percentage of B5 produced from coconut oil is (0.045X / 100) × 100% = 0.045 X% of the imported diesel fuel.
The percentage of E10 produced from molasses and cassava is (0.08Y / 70) × 100% = 0.1143 Y% of the imported petrol.
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The complete question is:
A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and cassava that the country produces annually. Express your results as the percentages of the respective imported fuel.
18) Does the graph show a function?
Answer:
No
Step-by-step explanation:
yes ,graph it shows a function
Find a multiplicative inverse of 4, or prove that one does not exist, modulo 30, 31, 32, 33, 34, and 35.
Multiplicative inverse of 4 doesn't exist in modulo 30, 32, 33, and 34. It exists in modulo 31 and 35.
For a number to have a multiplicative inverse in modulo n, it must be relatively prime to n. Now let's find the multiplicative inverse of 4 modulo 30, 31, 32, 33, 34, and 35. In modulo 30, GCD(4, 30) = 2. Hence, 4 does not have a multiplicative inverse in modulo 30. In modulo 31, 4 and 31 are relatively prime. Therefore, the multiplicative inverse of 4 in modulo 31 is 8. Hence, 4 * 8 = 1 (mod 31). In modulo 32, GCD(4, 32) = 4. Therefore, 4 does not have a multiplicative inverse in modulo 32.
In modulo 33, GCD(4, 33) = 1. However, 33 is not a prime number. Therefore, it is not relatively prime to 4, and 4 does not have a multiplicative inverse in modulo 33.In modulo 34, GCD(4, 34) = 2. Hence, 4 does not have a multiplicative inverse in modulo 34.
In modulo 35, 4 and 35 are relatively prime. Therefore, the multiplicative inverse of 4 in modulo 35 is 9. Hence, 4 * 9 = 1 (mod 35). Therefore, we can conclude that the multiplicative inverse of 4 exists in modulo 31 and 35, and does not exist in modulo 30, 32, 33, and 34.
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with similar triangles, the corresponding angles are equal. T/F
True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.
Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.
The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.
This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.
By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.
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What is the probability that a student‘s favorite hobby is roller skating ?Theoretical =Experimental =
The theoretical probability is given by 1 over the number of hobbies.
If there is a total of 8 hobbies, the probability of a student having a specific hobby is:
\(P=\frac{1}{8}\)The experimental probability is given by the number of students with that hobby over the total number of students. If 3 students have the hobby roller skating among the 24 students surveyed, the probability is:
\(P=\frac{3}{24}=\frac{1}{8}\)40000 is divided by the smallest number so that the result is a perfect cube. find the cube root of the resulting number.
The Cube root of the resulting number is 8.
The smallest number that 40000 can be divided by so that the result is a perfect cube, we need to factorize 40000 into its prime factors:
\(40000 = 2^6 \times 5^4\)
To make this a perfect cube, we need to ensure that the powers of each prime factor are multiples of 3.
The smallest number we can divide 40000 by so that the result is a perfect cube is:
\(40000 = 2^6 \times 5^4\)
Now we can find the cube root of the resulting number:
\(3\sqrt (40000 \div 100) = 3\sqrt400 = 8.\)
Factories 40000 into its prime components in order to determine.
The least number that the result may be divided by while still producing a perfect cube.
The powers of each prime factor must be multiples of three in order for this to be a perfect cube.
The least number that 40000 may be divided by to produce a perfect cube is:
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Which best describes the quotient of 3 ½ ÷ ¼?
Answer: 3 1/2 divided by 1/4 = 14,
if it is just 1/2 divided by 1/4 then the answer is 2
Good luck!
if a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, what is the probability of being dealt the given hand? (round your answer to five decimal places.) a straight (but not a straight flush)
The probability of being dealt a straight (but not a straight flush) in a 5-card poker hand is approximately 0.00392, when rounded to five decimal places. In conclusion, the probability is 0.00392.
The probability of being dealt a straight (but not a straight flush) in a 5-card poker hand can be calculated as follows:
First, we need to determine the number of possible straights. There are 10 possible straights (A-2-3-4-5, 2-3-4-5-6, etc.) in a deck of 52 cards.
Next, we need to determine the number of ways to choose the suits for each card in the straight. For each card in the straight, there are 4 possible suits. So, there are \(4^5\) = 1024 ways to choose the suits for the cards in the straight.
Finally, we divide the number of ways to get the desired hand by the total number of possible 5-card hands: (10 * 1024) / (choose(52,5)) = 0.00392.
Therefore, the probability of being dealt a straight (but not a straight flush) in a 5-card poker hand is approximately 0.00392, when rounded to five decimal places. In conclusion, the probability is 0.00392.
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i need to graph these inequalities ASAP
y>3x-6
y<3x+2
the first attachment if for y<3x+2
the first attachment if for y>3x-6
help i dont what to do
Answer:
area=breadth* height
2*9