All categories

3 years ago

Which inequality is true for 50pts

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

Answer:

B. $(5+2)^{2} > 5^2 + 2^2$

Step-by-step explanation:

The inequality "B" is correct because when you simplify it, you can see that it holds true:

$7^{2} > 25 + 4$

49 > 29

49 is indeed greater than 29, making this inequality true.

enot [183]3 years ago

8 0

Answer:

B. (5+2)^{2} > 5^2 + 2^2

The inequality "B" is correct because when you simplify it, you can see that it holds true:

Step-by-step explanation:

7^{2} > 25 + 4

49 > 29

You might be interested in

Which graph or graphs appear to show a sinusoid ?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Sinusoid graphs look like regular waves.

It is obvious that only I and III look like waves.

II is known as a stepwise function.

5 0

3 years ago

Read 2 more answers

How do I solve this?

Rus_ich [418]

Answer:

I think the answer is m=3

Step-by-step explanation:

Hope this helps :D

7 0

3 years ago

Solve: 3 = -2v - V V=

Y_Kistochka [10]

Answer:

V = −1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3=−2v−v

3=−2v+−v

3=(−2v+−v)(Combine Like Terms)

3=−3v

Step 2: Flip the equation.

−3v=3

Step 3: Divide both sides by -3.

−3v = 3

-3 -3

v=−1

4 0

3 years ago

Read 2 more answers

Help me on this question please. Thx

lana [24]

The trapezoid was translated Right 6 ,down 5

3 0

2 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

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