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photoshop1234 [79]
3 years ago
13

How to find the volume of this cube

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0
The answer is b because volume=length x width x height
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A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a p
Ne4ueva [31]

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

p_1=X_1/n_1=31/1000=0.031

The sample 2, of size n2=1200 has a proportion of p2=0.018.

p_2=X_2/n_2=22/1200=0.018

The difference between proportions is (p1-p2)=0.013.

p_d=p_1-p_2=0.031-0.018=0.013

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z>1.98)=0.048

As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions are not equal.

6 0
3 years ago
Use absolute value to express the distance between −13 and 17 on the number.
motikmotik

Answer:

30

Step-by-step explanation:

|-13| = 13

13+17=30

8 0
2 years ago
Seven less than three times a number is 5. Find the number
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Step-by-step explanation:

it is 12 because 12 - 7 is 5 the number 4 is the number multiplied by 3

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julia-pushkina [17]

Answer: i believe the answer is 10

Step-by-step explanation:

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Determine the remainder when (x3 – 5x2 + 14x – 5) is divided by (x + 3).
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Answer:

-119

Step-by-step explanation:

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