The new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. What is the volume of the dolphin tank?

Wade needs to solve the problem 1 5/8 x - 2 1/2 = -11 4/5. He is not sure what to do first, so he rounds the numbers to take a l

skad [1K]

I hope this helps you

8 0

3 years ago

9. What date will it be? (One is done for you)

Licemer1 [7]

Answer:

A. 5 days after 15 June - June 20

B. 10 days before Independence day - 5 August

C. 7 days before 8 January - 1 January

D. 3 days before Republic day - 23 January

E. 14 days after 16 July - 30 july

F. 20 days after 1 August - 21 August

3 0

3 years ago

SOMEONE HELP ME PLEASE WITH THESE PROBLEMS AND PLEASE SHOW YOUR WORK FOR 50 points and BRAINLIEST THANK YOU

ELEN [110]

Answer:

13. $6x^7 y^7$ || 14. $\frac{25x^4}{y^6}$

explanation:

13.

$\frac{12x^9 y^5}{2x^2 y^-2}$

$6x^{9-2} y^{5--2}$

$6x^7 y^7$

14.

$(\frac{5y^{-3} }{x^{-2} } )^{2}$

$(\frac{5y^{-3} }{x^{-2} } )(\frac{5y^{-3} }{x^{-2} } )$

$\frac{\frac{25}{y^6}}{\left(x^{-2}\right)^2}$

$\frac{\frac{25}{y^{-6} }}{\left(x^{-4}\right)}$

$\frac{25x^4}{y^6}$

4 0

2 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

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