Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

Answers

Answer 1

Answer: $\mathbb P(Z<-a)=0.2451\implies -a\approx-0.69\implies a\approx0.69$

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Answers

you have to divide it to get the number

Can someone help me with this math problem 26.04 divided by -6.2

Answers

Answer:

-4.2

Step-by-step explanation:

To divide 26.04 by -6.2, you can follow these steps: Multiply both numbers by 10 to eliminate decimal places. Divide the resulting numbers. The answer is 4.24.

To divide 26.04 by -6.2, you can follow these steps:

Multiply both the dividend and divisor by 10 to eliminate the decimal places. You will get -262.4 divided by -62.
Divide the numbers as usual. -262.4 divided by -62 equals 4.24.

Therefore, 26.04 divided by -6.2 is equal to 4.24.

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A direct mailing company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken random sample of 150 orders showed that 129 of them were mailed within 72 hours. Set up the null and alternative hypotheses to test whether the company’s claim is true?

Answers

Answer:

The null and alternative hypothesis are:

$H_0: \pi=0.9\n\nH_a:\pi<0.9$

There is not enough evidence to support the claim that the company is worng and less than 90% of all orders are mailed within 72 hours after they are received.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The company's claim is the null hypothesis, the claim that is going to be tested is if this proportion is significantly less than 90%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.9\n\nH_a:\pi<0.9$

The significance level is 0.05.

The sample has a size n=150.

The sample proportion is p=0.86.

$p=X/n=129/150=0.86$

The standard error of the proportion is:

$\sigma_p=\sqrt{(\pi(1-\pi))/(n)}=\sqrt{(0.9*0.1)/(150)}\n\n\n \sigma_p=√(0.0006)=0.024$

Then, we can calculate the z-statistic as:

$z=(p-\pi+0.5/n)/(\sigma_p)=(0.86-0.9+0.5/150)/(0.024)=(-0.037)/(0.024)=-1.497$

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z<-1.497)=0.0672

As the P-value (0.0672) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that less than 90% of all orders are mailed within 72 hours after they are received.

Final answer:

The null hypothesis is that 90% of all orders are shipped within 72 hours, denoted as H0: p = 0.90. The alternative hypothesis is that less than 90% of all orders are shipped within 72 hours, expressed as HA: p < 0.90.

Explanation:

In hypothesis testing, the null hypothesis represents the theory that has been put forward, either because it is believed to be true or because it is used as a basis for argument. In this case, the null hypothesis would be that 90% of all orders are shipped within 72 hours. This can be formulated as H0: p = 0.90 where p represents the proportion of all orders shipped within 72 hours.

The alternative hypothesis on the other hand is the hypothesis used in hypothesis testing that is contrary to the null hypothesis. Here, the alternative hypothesis would be that less than 90% of all orders are shipped within 72 hours. It can be expressed as HA: p < 0.90 where p remains the proportion of orders shipped within 72 hours.

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Alice solved the following equation:-18 - 3x = 12
-3x = 6
x =-2

Which of the following statements is true?

Answers

Answer:

the first line

Step-by-step explanation:

because the second line should be -3x=30

HOw far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40000 square miles?

Answers

Answer:

The radio station is at the center of a circle with an area of 40,000 square miles. The furthest point that you could hear the broadcast would be on the outer edge of the circle or at the end of the radius of the circle. The formula for the area of a circle is:

Area = π $r^(2)$

So we take what we know and work the formula in reverse.

40,000 = πr²

40,000 / π = r²

12,732.4 = r²

√12,732.4 = √r²

112.84 = r

The radius of a circle with an area of 40,000 square miles is 112.84 miles. This is the furthest point that you would be able to hear the broad cast.

Step-by-step explanation:

Help.. ill give brainliest..

Answers

Answer:

Hi there

1. 28

2. -18

3. -26

4. 14

5. -7

6. 2

7. -17

8. 12

9. -12

10. -15

11. 24

12. 8

13. 2

14. 4

15. - 23

16. - 9

Step-by-step explanation:

there is a easy step to integers

1. if there is a plus then minus or vice versa way then u should subtract .

( + - = - )

2. if there are two plus signs then, add .

( + + = + )

3. if there are two minus signs then , subtract

( - - = - )

hope u understand

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