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djverab [1.8K]
3 years ago
5

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!

Mathematics
2 answers:
aksik [14]3 years ago
6 0

Answer:

F= 3x^2

Step-by-step explanation:

1) Multiplying exponents causes them to add, for instance if you were to multiply x^3 * x^4 the final product would be x^7. If you were to divide exponents then they would subtract.

2) Similarly in this problem  you would determine the missing factor by dividing the product from -10x^3

3)  Using the steps above, begin dividing.

-30x^5 / -10x^3

4) -30 divided by -10 is 3 and as mentioned in step number one, you subtract exponents whenever they are divided by each other.  5-3=2

5) Due to all of the steps mentioned above, The answer is 3x^2

Nat2105 [25]3 years ago
4 0

Hey there!!

Remember :-

... m^{x}*m^{n}=m^{x+n}

Given :-

... -30x⁵ = ( -10x³ ) ( F )

To make -10 to -30, we will need to multiply -10x³ with '3'.

To get x⁵ from x³, we will need to multiply -10x³ with 'x²'.

<u><em>Hence, the value of x is 3x²</em></u>

Hope it helps!!

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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.

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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}

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

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

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

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

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

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

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