Answer
A. 16.5
Step-by-step explanation:
First you calculate what 45% of 30 is. Then you subtract that from 30.
What is the height of a parallelogram with area 56 m2, and a base of 7m
Answer: 392m^2
Step-by-step explanation:
Area of parallelogram is base x height
56 x 7 = 392m^2
19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?
8+3=11 6-1=5 11+5=16 5/16
A) 4/7
B) 9/16
C) 4/9
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Answer:
2.828
Step-by-step explanation:
Which of the following can \(\frac{sin^2x}{1+cosx}\) be simplified to? (2 points)
cos θ
1 + cos θ
1 − cos θ
sin θ + tan θ
The expression sin²x/(1+cosx) can be simplified to 1-cosθ
How to determine which of the expression sin²x/(1+cosx) can be simplified to?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Recall that sin²x = 1 - cos²x. Thus, we have:
sin²x/(1+cosx) = (1-cos²x) / (1+cosx)
= (1²-cos²x) / (1+cosx)
= (1+cosx)(1-cosx) / (1+cosx)
= 1-cosx
= 1-cosθ (If x = θ)
Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)
Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
Find the slope and the y-intercept of the line.
y=2x-9
Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9) hope this helps :)
Step-by-step explanation:
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
QUESTION 4
What is the formal null hypothesis?
Ομ
μ
= P
English Spanish
Ομ
Language
= μ
Korean
#μ
Teacher Support
Ομ
English
Spanish
O The means are not all equal.
#μ
Korean
The formal null hypothesis, denoted as H₀, for the comparison of means in this context would be: H₀: μ₁ = μ₂ = μ₃
In words, the null hypothesis states that the population means of English, Spanish, and Korean language proficiency levels (represented by μ₁, μ₂, and μ₃, respectively) are all equal.
The null hypothesis assumes that there is no significant difference between the means of the three language proficiency levels. It suggests that any observed differences in the sample means are due to random sampling variability and not representative of true differences in the population means.
When conducting hypothesis testing, the null hypothesis is initially assumed to be true, and the alternative hypothesis (H₁) is formulated as the opposite or complementary statement. In this case, the alternative hypothesis would be:
H₁: At least one of the population means of English, Spanish, and Korean language proficiency levels is different.
To determine whether to reject the null hypothesis, statistical tests such as analysis of variance (ANOVA) or t-tests can be used to compare the means of the language proficiency levels. If the test results provide sufficient evidence to reject the null hypothesis, it suggests that there are significant differences between the means of the language proficiency levels.
It's important to note that this is a generic explanation of the formal null hypothesis in the context of comparing means. The specific null hypothesis may vary depending on the research question and the variables being compared.
For more such questions on hypothesis visit:
https://brainly.com/question/29576929
#SPJ8
Please do the first question thank you in advanced
You are part of a school and have to report the results of standardized test scores. Which measure of central tendency would you use? Assume that you don't know how your students will perform; consider the general effects of outliers on the three measures of central tendency. Research and summarize the general effects that outliers have on each of the measures of central tendency. Then, using some real values, provide an example of how the three measures of central tendency vary due to outlier effects.
On a coordinate plane, a triangle is shown. It has points (1, 4), (5, negative 2), and (negative 3, negative 2). Mary thinks the triangle is equilateral. How would you support or dispute her conjecture? Calculate the slope of all three sides, and check whether the slopes are equal. Calculate the slope of all three sides, and check whether any slopes are reciprocals. Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent. Use the distance formula to calculate the length of all three sides, and check whether any two sides are congruent.
Answer:
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.Step-by-step explanation:
Equilateral triangle has 3 sides and 3 internal angles congruent.
Slopes won't help as internal angles are 60 deg. Distance of 2 sides won't help as it will mean the triangle is isosceles.
So the correct option is:
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.Answer:
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
Step-by-step explanation:
Equilateral triangle has 3 sides and 3 internal angles congruent.
Slopes won't help as internal angles are 60 deg. Distance of 2 sides won't help as it will mean the triangle is isosceles.
So the correct option is:
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
\(3(x+2)^2-6=21\)
I would like a quick answer since I'm in a hurry
Solution
- The solution steps are given below:
\(\begin{gathered} 6x^4+2x^3-4x^2+2 \\ p\text{ is the set of all the factors of the constant term.} \\ p=\pm1,\pm2 \\ \\ q\text{ is the set of all the factors of the leading term} \\ q=\pm1,\pm2,\pm3,\pm6 \\ \\ \text{ Thus, the potential zeros are:} \\ \frac{p}{q}=\frac{1}{1},-\frac{1}{1},\frac{1}{2},-\frac{1}{2},\frac{1}{3},-\frac{1}{3},\frac{1}{6},-\frac{1}{6},\frac{2}{1},-\frac{2}{1},\frac{2}{3},-\frac{2}{3} \\ \\ \text{ Thus, this set of potential zeros is given as:} \\ \frac{p}{q}=\lbrace\pm\frac{1}{6},\pm\frac{1}{3},\pm\frac{1}{2},\pm\frac{2}{3},\pm1,\pm2\rbrace \end{gathered}\)Final Answer
The answer is OPTION C
Kim is earning money for a trip. She has saved and she earns per hour babysitting. The total amount of money earned (y) after (x) number of hours worked is given by the equation . How many hours will she need to work in order to earn for her trip?
Answer:
what is the amount of money Kim earn per hour of babysitting? Also I need to know how much trip cost to find out how many hours she need to work.
Step-by-step explanation:
What does the term human capital refer to?
Answer:
its a captial of humans
Step-by-step explanation:
Answer: knowledge
Step-by-step explanation:
Human capital is a loose term that refers to knowledge, experience and skills of an employee. ... It states that companies have an incentive to seek productive human capital and to add to the human capital of their existing employees.
Amelia rented a dvd and it was due to be returned on 26 november
she actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Anyone help please!!!!!
Answer:
Step-by-step explanation:
I'm not familiar with the conversions from American dollars. I can help you solve it though.
Count how many days from Nov 26 to Dec 26 and multiply that by 9p.
It's 30 days by 9p. Take that total and convert it.
Hopefully this helps you.
I rlly need this now, show work pls :((
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4
Which of the following correctly describes the symmetry of the cubic parent
function?
^
A. It is symmetric about the x-axis.
B. It is symmetric about the y-axis.
C. It is symmetric about the origin.
D. It is not symmetric about any point or line.
The statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
What is the symmetry of the function about the X-axis?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "
What is the symmetry of the function about the Y-axis?"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "
What is the symmetry of the function about the origin?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "
For given question,
The parent cubic function is \(f(x)=x^3\)
The graph of the function \(f(x)=x^3\) is as shown below.
From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.
This means, the graph of the function \(f(x)=x^3\) is symmetric about the origin.
Therefore, the statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
Learn more about the symmetry of the function here:
https://brainly.com/question/11957987
#SPJ3
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations)
Answer:
How much per a pencil and eraser? I'll help you out from there :)
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.
In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.
If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?
Give your answer to four decimal places.
The standard deviation of the sampling distribution is approximately 0.3292.
What is central limit theorem?The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.
Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.
The standard deviation is given by the formula:
SD = σ/√(n)
Now, substituting the value of σ = 40, n = 147,400 we have:
SD = σ/√(n) = 40/√(147400) ≈ 0.3292
Hence, the standard deviation of the sampling distribution is approximately 0.3292.
Learn more about central limit theorem here:
https://brainly.com/question/18403552
#SPJ1
(8x - 5)(7x-8)
Find the product
Answer:
x=−3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 7*x-8-(8*x-5)=0
Pull out like factors : -x - 3 = -1 • (x + 3)
Solve : -x-3 = 0
Add 3 to both sides of the equation : -x = 3
Multiply both sides of the equation by (-1) : x = -3
Answer:
56x^2−99x+40
Step-by-step explanation:
Evaluate (8x−5)(7x−8)
Apply the distributive property by multiplying each term of 8x−5 by each term of 7x−8.
56x^2−64x−35x+40
Combine −64x and −35x to get −99x.
56x^2−99x+40
what type of object around in locality
Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.
The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:
Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.
Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.
Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.
Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.
Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.
Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.
Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.
Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.
Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.
It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.
for such more question on public facilities
https://brainly.com/question/25380567
#SPJ8
A cylinder has a height of 12 inches. A similar cylinder has a height of 15 inches. What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
The ratio is 15+\(r_2\) : \(12+r_1\).
What is surface area?
A three-dimensional object's surface area is the space it takes up when viewed from the outside.
Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit
=> A = \(2\pi r(h+r)\) square unit.
Now Height = 12 in , radius = r1 then,
=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1
Now Height = 15 in , radius = r2 then,
=>\(A_2=2\pi r_2(15+r_2)\)-------> 2
Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,
=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)
=>\(15+r_2:12+r_1\)
Hence the ratio is \(15+r_2:12+r_1\).
To learn more about surface area refer the below link
https://brainly.com/question/16519513
#SPJ1
Answer:
25:16
Step-by-step explanation:
I took the
Consider the given figure.
Co
an
What information about this figure would be used as a step in a proof of the Pythagorean theorem?
showing that Acos - AABC
showing that ADC+DC2-AC2
showing that AABC - AACD - ACBD
Answer:
B. showing that AD^2 + DC^2 = AC^2
Step-by-step explanation:
Pythagorean theorem formula: a^2 + b^2 = c^2
^^^^thats all i know, i got the answer from my teacher tho lol
What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
Learn more about set theory ; https://brainly.com/question/13458417
#SPJ1
Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
pls help find area and perimeter
Answer:
A is 14 and P is 17
Step-by-step explanation:
working is above mentioned
A ball is dropped from a 32-foot wall. Each time it bounces, it rises half as high as the distance it fell. The ball is caught when it is 2 feet off the ground. How many feet does the ball travel before it is caught?
Answer:
I'm very trick one but I will get back to you
Answer:
The ball traveled 124 feet.
Step-by-step explanation:
It was caught when it was 2 feet off the ground, so when it was first dropped, it was 32 feet, the first bounce was 16 feet, the second bounce was 8 feet, the third bounce was 4 feet, and the fourth bounce was 2 feet. It also travels up and down.
32
+
32
+
16
+
16
+
8
+
8
+
4
+
4
+
2
+
2
____
62 (only down) x2(for up too)
124
I hope this helped! :)
Maybe check over the answer, I don't want you to get this wrong.
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.
One possible set could be 3 cm, 4 cm, and 5 cm.
To verify if this set forms a right triangle, we can apply the Pythagorean theorem.
Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.
Adding these two values together gives us 25.
Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.
It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.
There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.
These sets are known as Pythagorean triples.
Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.
In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
For similar question on hypotenuse's.
https://brainly.com/question/30390037
#SPJ8
Question 4Multiple Choice Worth 5 points)
(05.02 MC)
In 2022, a study at Petit Pediatrics found that 10% of its patients were allergic to pollen. The study also showed that 10% of patients who were allergic to pollen tested
negative, while 20% of the patients who were not allergic tested positive. If a patient is randomly selected and is not allergic to pollen, what is the probability that they
tested negative?
0 0.90
0-0.80
00.72
00.10
The probability that a patient who was randomly selected and is not allergic to pollen tested negative is given as follows:
0.8.
How to calculate a probability?The parameters that are needed to calculate a probability are given as follows:
Number of desired outcomes in the context of a problem/experiment.Number of total outcomes in the context of a problem/experiment.A probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
The conditional probability in the context of this problem is given as follows:
P(negative|not allergic) = P(negative and not allergic)/P(not allergic).
10% of its patients were allergic to pollen, hence:
P(not allergic) = 1 - 0.1 = 0.9.
20% of the patients who were not allergic tested positive, hence:
P(negative and not allergic) = 0.9 x (1 - 0.2) = 0.72.
Hence the conditional probability is given as follows:
P(negative|not allergic) = P(negative and not allergic)/P(not allergic).
P(negative|not allergic) = 0.72/0.9
P(negative|not allergic) = 0.8.
Learn more about the concept of probability at brainly.com/question/24756209
#SPJ1
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:
38.6 in^2
Step-by-step explanation:
Find the third side using law of cosines
11.1^2 + 7^2 - 2(11.1)(7)cos 84 = x^2
x = 12.49
semi perimeter = (11.1 + 7 + 12.49)/2 = 15.29
Heron's formula for triangle area with 3 side lengths given
sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2