What is the answer to <br> 2/5x >7

What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14

kupik [55]

(m^7)^2 = m^(7 x 2) = m^14

3 0

3 years ago

Can someone help me please and thank you

Veronika [31]

Find the ratio of the two similar sides that both dimensions are given.

The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.

8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.

X on the smaller triangle is 1/2 11 units which equals 5.5 units.

Y is 2 times 3, which equals 6 units.

x = 5.5

y = 6

3 0

3 years ago

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars

velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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 zscore 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 pvalue, 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 $s = \frac{\sigma}{\sqrt{n}}$ .