Will mark brainliest Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.

Women's heights are normally distributed with a mean given by p = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If

Ganezh [65]

Step-by-step explanation:

I am sorry question samajh Nahin a Raha question dijiye

4 0

2 years ago

g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar

BaLLatris [955]

Answer:

The test statistic is $z = 1.25$

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

$H_0: p = 0.8$

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

$H_a: p > 0.8$

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.

80% is tested at the null hypothesis:

This means that $\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4$

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that $n = 100, X = \frac{85}{100} = 0.85$

The test statistic is

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

$z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}$

$z = 1.25$

The test statistic is $z = 1.25$

4 0

2 years ago

Substitute each given value of the variable to find which, if any, is a solution of inequality.

OlgaM077 [116]

Given:

The inequalities are:

a) $w$

b) $t>-25, t=-24, -25, -25.1, -27$

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

$w$

After substituting the given values one by one, we get

$-4.3$ False statement.

$-5.3$ False statement.

$-8.3$ True statement.

$-9$ True statement.

Therefore the solutions of $w$ are $w=-8.3, -9$ .

b)

We have,

$t>-25, t=-24, -25, -25.1, -27$

After substituting the given values one by one, we get

$-24>-25$ True statement.

$-25>-25$ False statement.

$-25.1>-25$ False statement.

$-27>-25$ False statement.

Therefore, the solution of $t>-25$ is $t=-24$ .

8 0

2 years ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

2 years ago

if a lake has high alkalinity, what is closest to the probability that the lake also has a shallow depth?

never [62]

Answer:

0.22

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.

209/966 = 0.219

approximately 0.22

8 0

2 years ago