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3 years ago

Photo above! I'm confused

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

Remember that when you add up all the angles of a triangle it is going to = 180 degrees

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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

Zola is thinking of a number. If the number is divided by 7.5, the quotient is 62. what is zolas number?

____ [38]

Okay, so I would multiply 62*7.5 to get 465.

To check the solution, make sure it follows the rules as in the word problem.

If you divide 465 by 7.5 you do get 62, so the solution is 465.

Mathematically, the equation would be

x
- = 62
7.5
I would multiply x/7.5 by 7.5/1 (to cancel it out) and 62/1 by 7.5 which is basically the same solution as above.

4 0

3 years ago

Read 2 more answers

Find the total surface area

Sindrei [870]

Answer:

298 cm^2.

Step-by-step explanation:

There are 3 pairs of faces of equal area.

Area of top = 7 * 11. So it's 2 * 7 * 11 = 154.

Area of a smaller side = 7 * 4 so we have 2*28 = 56 .

Area of larger side = 4*11 so it's 2*44 = 88.

Total surface area = 154 + 56 + 88

= 298.

5 0

3 years ago

(3,12),(3, -17) Find the slope with work<br> Please help

maw [93]

Answer:

-43.68

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Cheri's time in the bobsled race was 1 min, 38.29sec. Write the word form and the value of the 9 in Cheri's time

Artemon [7]

I believe it would be the hundredth place

7 0

3 years ago