Solve for x.

V = u + at<br> u = 2<br> a = -5<br> t = 1/2 (0.5)

Vsevolod [243]

$v = 2 + ( - 5 \times 0.5) \\ v = 2 - 0.5 \\ v = 1.5$

8 0

3 years ago

The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j

Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

$H_0: p \geq 0.4$

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

$H_1: p < 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $\mu = 0.4, \sigma = \sqrt{0.4*0.6}$

74 out of the 200 workers sampled said they would return to work

This means that $n = 200, X = \frac{74}{200} = 0.37$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}$

$z = -0.87$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0

2 years ago

Start at 10. Create a pattern that multiplies each number by 10

Yanka [14]

Pattern:

10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000, and so on.

Step-by-step explanation:

First, you must start by using 10 and multiplying it 10 times, 10 x 10 = 100.

Then, with 100 you must multiply it by 10 again, 100 x 10 = 1,000.

Countiue and you will get it.

And good luck! <3

6 0

3 years ago

A semi regular tesselation may have

AleksandrR [38]

Answer:

Three types of shapes

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If i randomly pick a polynomial, is it more likely to have real roots or complex roots?

Vinil7 [7]

I would say you are more likely to have complex roots. If you think of graphs of polynomials, if you draw a function that doesn't pass through the x-axis, all roots are complex.

6 0

3 years ago