What is the scale factor r so that dilation from center O maps segment AB to segment A′B′ ?

Answer:

Undefined slope, vertical line

Step-by-step explanation:

Slope = \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)

Slope = \(\frac{-7 -(-9)}{-9-(-9)} = \frac{-7+9}{-9+9} =\frac{2}{0}\) = Undefined

Since the slope is undefined, you would have a vertical line.

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

The equation of a circle is given by the formula,

\((x-a)^{2} + (y -b)^{2} = r^{2}\)

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

\((x-4)^{2} + (y-12)^{2} = 9\)

\((x-a)^{2} + (y -b)^{2} = r^{2}\)

\((x-4)^{2} + (y -9)^{2} = 3^{2}\)

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

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Answer:

unknown

Step-by-step explanation:

it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation

8+12=$20

Step-by-step explanation:

just add them up since they all cost $1

Inches i believe. This of course depends on the size of the wheel, but if its a wheel on a care it would be inches.

Answer:

B)  \(\frac{9}{5}\)

Step-by-step explanation:

\(\frac{5^{x} }{3^{2x} } = \frac{1}{7} \\\\\frac{5^{x} }{9^{x} } =\ \frac{1}{7} \\\\\\(\frac{5}{9}) }^{x} = 7^{-1} \\\\\\(\frac{5}{9}) }^{x}= 7\\\\7^{\frac{1}{x} } = ((\frac{9}{5}) }^{x})^{\frac{1}{x}}\\\\7^{\frac{1}{x} } = \frac{9}{5} }\)

Correct choice is B

The coefficient and base and exponents 3.У.У.У.У​ are 3 and 4 respectively.

Exponential functions are inverse of logarithmic function. The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function below

3 *y * y * y * y

Since there 4 y's, hence the exponent of the exponential function will be 4 as shown;

3 *y * y * y * y = 3y^4

Therefore the coefficient and base and exponents 3.У.У.У.У​ are 3 and 4 respectively.

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Answer:

x= 80 degrees

Step-by-step explanation:

50 +50 = 100,
180-100 = 80
80 degrees

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer: Among the given choices, the largest one that could be used successfully in an epsilon-delta proof of lim (9x + 36) = 9 is:

C. 8 = 2ε

Step-by-step explanation:

To determine the largest choice of 8 that could be used successfully in an epsilon-delta proof, we need to find the maximum value of epsilon (ε) that satisfies the given limit statement.

In an epsilon-delta proof, for a given limit statement lim (9x + 36) = 9, we want to show that for any epsilon (ε) greater than 0, there exists a corresponding delta (δ) such that whenever 0 < |x - a| < δ (where 'a' is the value of x approaching), it implies |(9x + 36) - 9| < ε.

Let's consider each choice of 8:

A. 8 = B: This choice doesn't provide any information about epsilon (ε) and is unrelated to the limit statement.

B. 8 = C: Similarly, this choice doesn't provide any relevant information.

C. 8 = 2ε: Here, we have epsilon (ε) defined as 2ε. In this case, we can choose delta (δ) such that whenever 0 < |x - a| < δ, it implies |(9x + 36) - 9| < 2ε. Therefore, this choice of 8 could be used successfully in the epsilon-delta proof.

D. 8 = 3ε: With this choice, we would need to find a delta (δ) such that |(9x + 36) - 9| < 3ε. However, since the limit statement only requires |(9x + 36) - 9| < ε, this choice is unnecessarily restrictive. Therefore, it is not the largest choice that could be used successfully.

E. 8 = 9ε: Similar to choice D, this choice is overly restrictive and not necessary for the limit statement.

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Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

Answer: 2h

Step-by-step explanation:

Answer:

Top-left answer: (x-7.5)^2=43.25

Step-by-step explanation:

Complete the square

x^2-15x+15=2

x^2-15x+13=0

(x-7.5)^2-(7.5)^2+13=0

(x-7.5)^2-56.25+13=0

(x-7.5)^2-43.25=0

(x-7.5)^2=43.25

Answer:

See below.

Step-by-step explanation:

a)

105/3 = 35

35/5 = 7

7/7 = 1

429/3 = 143

143/11 = 13

13/13 = 1

105 = 3 * 5 * 7

429 = 3 * 11 * 13

Not co-prime

For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.

Answer:

30+2.50m=t

Step-by-step explanation:

where m represents the amount of miles driven and t represents the total of money owed

can i get brainliest please?

Answer:

joker is not see the following questions and the answers will come up on your site

Answer:

A

Step-by-step explanation:

y=-2 when x=-4 y=-4 when x=-8

what's given: 4. what's given:2

-4k=-2. -8k=-4

-4/4. -2/4. -8/8. -4/8

k=0.5. k =0.5

0.5(2) =1. 0.5(2)=1

Answer:

Step-by-step explanation:

You want to identify the proportional relations in the given tables and equations, and you want to find and use the constant of variation given that y=35 when x=7.

A proportional relation is one that has an equation of the form ...

  y = kx

One variable is a constant multiple of the other. If the relation cannot be put in this form, it is not a proportional relation.

The value of k in the above equation can be found as ...

  k = y/x . . . . . . . divide both sides by x

This is a constant if the relation is proportional.

  y/x = -8/-4 = -4/-2 ≠ 18/6 . . . . . not a proportional relation

  y/x = -4/-5 ≠ 10/2 . . . . . not a proportional relation

  y/x = -12/-3 = 24/6 = 32/8 = 4 . . . . . a proportional relation

You are looking for equations of the form y = kx. The only ones having that form are ...

The others represent inverse proportions and a linear (not proportional) relation.

As we saw above, the constant of variation is ...

  k = y/x = 35/7

  k = 5

Then the value of x can be found from ...

  49 = 5x

  49/5 = x = 9.8

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

Answer:

the answer is attached to the picture

1. X does not have a binomial distribution.

2. X cannot have a binomial distribution.

Part 1: The random variable X do not have a binomial distribution.

Part 2: The random variable is not binomial because the first condition for a binomial distribution does not hold. A binomial distribution requires a fixed number of trials, but in this case, the number of students chosen from the Statistics class is not fixed, but rather a random variable itself. Therefore, X cannot have a binomial distribution.

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Answer:

10%

Step-by-step explanation:

24 R + 16 Blu + 10 Y + 22 G + 8 Bla = 80 total

Then you cant set up a proportion:

\(\frac{8}{80} \frac{x}{100}\)

In order for 80 to become 100, you must multiply it by 1.25. That means in order to get X, the probability of pulling a black marble, you can multiple 8 x 1.25

8 x 1.25 = 10

Answer:

The graph going down answers are 3,-1, -5, and then -9

Step-by-step explanation:

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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The following exponential, and logarithmic forms are equivalent

We can now solve p by getting the cube root of both sides

Therefore, the base of the logarithm is 16.

If f(x) = 0, the value of x are -1, 2 and 3.

In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables—the independent and dependent variables. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have f(x)= 0

As we know that the solution of the graph can be predicted by the number of times the lines of the graph touches the x axis.

Here when f(x)= 0 which also means that y =0 then values of x are -2, 1 and 3.

Thus, the value of x are -1, 2 and 3.

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The rejection region for the test is z > 2.33, which corresponds to option C) z > 2.33.

For the given hypothesis test where H0: µ = 9 and Ha: µ > 9 with a significance level (α) of 0.01, you want to find the rejection region in terms of the z-statistic. Since Ha states that µ > 9, it is a right-tailed test. You can use the standard normal distribution table or a calculator to find the critical z-value corresponding to α = 0.01.

For a right-tailed test with α = 0.01, the critical z-value is approximately 2.33.

The rejection region for the test is z > 2.33, which corresponds to option C) z > 2.33.

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Answer:

6(10)+5x=180

Step-by-step explanation:

The grocery store received a crate of 180 pound...

So, the whole amount is 180..

The crate contains six 10 pound bag of potato plus an unknown number of 5pound bag of potato....

So if we think, that the unknown number is x the equation would be

6(10)+5x=180

Hope ya find this helpful..

the correct answer is (5/2)

Answer:

5/2

Step-by-step explanation:

It's always the # before the x.