Please someone help I’ll give u more points help quick!

WXY is a right triangle. A. True. B. False.

lora16 [44]

Answer:

B. False

Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So $(\sqrt{34} )^{2}$ should equal $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}$

We also know that $(\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a$

Hence, $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36$ , and

$(\sqrt{34} )^{2}=34$

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0

3 years ago

Read 2 more answers

Simplify: - 4x 5x - 1 + 3-6x 3-6x

Vitek1552 [10]

Answer:

−45−1+3−63−6

−46−1+3−63−6

−46+2−63−6

Solution:

−46−63−6+2

Step-by-step explanation:

I hope that this is what you are looking for

Have a nice day/night

3 0

3 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$