Is (3,11) a solution to the equation y= 5x-4

List the angles in order from smallest to largest. show your work.

hjlf

Answer:

∠R, ∠P, ∠Q

Step-by-step explanation:

The greater side has greater angle opposite

<u>Sides in ascending order:</u>

17, 21, 26

<u>Angles in ascending order:</u>

∠R, ∠P, ∠Q

3 0

3 years ago

Please help with this problem

Svetlanka [38]

The answer should be 25.64$
You multiple that by 8% and then what you get out of it you add on to what you got as the total .

6 0

3 years ago

Read 2 more answers

Please help > _ < Show your work and eplain

san4es73 [151]

Alternate exterior means opposite sides of the transversal and outside the parallel lines... angles 1, 2, 5, 6 are all outside the parallel lines.. now you just need to match up the ones that are on opposite sides... 1 and 5 are opposite sides and 2 and 6 are opposite sides.. so those two pairs are the alternate exterior angles.. since 2 and 6 isn't a choice and 1 and 5 is, then there is your answer.

8 0

3 years ago

Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more than 20 rows. What are t

-Dominant- [34]

5 rows of 14 chairs
7 rows of 10 chairs
Or
14 rows of 5 chairs
10 rows of 7 chairs

6 0

3 years ago

Read 2 more answers

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

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