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2 years ago

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Find the volume of the hemisphere below leave your answers in terms of pi

1 answer:

Ainat [17]2 years ago

7 0

Answer:

volume of the hemisphere

$\frac{2}{3} \times \pi \times {r}^{3} \\ \frac{2}{3} \times \pi \times 1331 \\ = 887.3333333333\pi$

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A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag

ahrayia [7]

Answer:

$P(-2 \leq \bar X -\mu \leq 2)$

If we divide both sides by $\frac{\sigma}{\sqrt{n}}$ we got:

$P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})$

And we can use the normal distribution table or excel to find the probabilites and we got:

$P(-1.5 \leq Z \leq 1.5)= P(Z$ Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

$X \sim N(M,4)$

Where $\mu=M$ and $\sigma=4$

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P(-2 \leq \bar X -\mu \leq 2)$

If we divide both sides by $\frac{\sigma}{\sqrt{n}}$ we got:

$P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})$

And we can use the normal distribution table or excel to find the probabilites and we got:

$P(-1.5 \leq Z \leq 1.5)= P(Z$

8 0

3 years ago

Again. Did I solve the Matrices correctly. By the way it's multiplying matrices.

liberstina [14]

I just used my Ti 84

it is correct except for 3rd number

should be
-3
-6
-16
8

3 0

3 years ago

Read 2 more answers

Find the area of each regular polygon. Round to the nearest tenth.

miskamm [114]

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

$A=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length of the triangle.

Putting $a=14$ , we get

$A=\dfrac{\sqrt{3}}{4}(14)^2$

$A=\dfrac{\sqrt{3}}{4}(196)$

$A=84.87049$

$A\approx 84.9$

Therefore, the area of given regular polygon is 84.9 cm².

6 0

3 years ago

What is 50300000 in standard form

taurus [48]

Answer:

the answer is attached in the picture

6 0

3 years ago

:)pleas helppppp:)))))

krek1111 [17]

Answer:

B) 1 < x < 13

Step-by-step explanation:

use triangle inequality theorem which states that the sum of any two sides must be greater than the third side

let x = third side

6 + 7 > x; x < 13

6 + x > 7; x > 1

x + 7 > 6; x > -1

there will always be one inequality which produces a negative value which you can exclude from your answer because a length cannot be negative

8 0

2 years ago