Explain how you can find the product of 5 to the second power times 112 using the distributive property

Find the solution of y = 2x + 5 for x = 1.

Mumz [18]

Answer:

1.)

y = 2x + 5 for x = 1

y = 2(1) + 5

y = 2 + 5

y = 7

2.) The function rule that relates the total cost of the party to the number of children n.

TCP = $60 + $4(n)

6 0

4 years ago

A nonprofit organization sent mailing labels along with a request for donations to a random sample of 75,000 potential donors on

Law Incorporation [45]

Answer:

Check the explanation

Step-by-step explanation:

The null and alternative hypotheses in symbols and words are as follows:

: p ≤ 0.06 (There has been no change in the contribution rate due to addition of the mailing labels)

: p > 0.06 (The addition of the mailing labels has increased the contribution rate)

Test Statistics

The following information is provided: The sample size is N = 75000, the number of favorable cases is X = 5625, and the sample

The z-statistic is computed as follows:

- $P_0$ (1 -

Test statistic z = 17.297

P-value

P-value corresponding to z = 17.297 for a two tailed test is obtained using standard normal table.

p-value = 0.0000

90% Confidence Interval Calculation

Kindly check the attached image below.

Conclusion

Since p-value = 0.0000 < α = 0.05, we reject null hypothesis .

At 0.05 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

Since the 90% confidence interval (0.073, 0.077) does not contain the hypothesized value 0.06, the result is significant and we reject null hypothesis.

In other words, at 0.10 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

4 0

4 years ago

According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the grocery store. Assume this is t

ahrayia [7]

Answer:

18.67% probability that the sample proportion does not exceed 0.1

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For the sampling distribution of a sample proportion, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$\mu = 0.14, \sigma = \sqrt{\frac{0.14*0.86}{59}} = 0.045$

What is the probability that the sample proportion does not exceed 0.1

This is the pvalue of Z when X = 0.1. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.1 - 0.14}{0.045}$

$Z = -0.89$

$Z = -0.89$ has a pvalue of 0.1867

18.67% probability that the sample proportion does not exceed 0.1

5 0

4 years ago

Help PLSS Thanks ………………….

Bond [772]

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = $\frac{k}{(y-2)^2}$ ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = $\frac{k}{(5-2)^2}$ = $\frac{k}{3^2}$ = $\frac{k}{9}$ ( multiply both sides by 9 )

81 = k

z = $\frac{81}{(y-2)^2}$ ← equation of proportion

7 0

3 years ago

Read 2 more answers

Trapezoid JKLM is shown on the coordinate plane below:

natulia [17]

trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3)
 the coordinates of point L' are
 (-2, -5) → (-2 + 8, -5 − 3)
(6, -8)
the answer is
 d. (6, −8)

8 0

3 years ago

Read 2 more answers