To get from 7-10=2(-3+8) to 7-10=-6+16, you have to use the distributive property because of the parenthesis. the next step would be adding 10 to both sides in order to even the equation (adding because it cancels out the negative and makes 0), and the last step you have is adding 6 to both sides of the equation to balance it. in order to get 2, you have to divide 26 by 13 (26/13). hope this helps!

7 0

4 years ago

What is 396,500,000 in scientific form?

Lapatulllka [165]

Answer:

3.97 x 10⁸

Step-by-step explanation:

6 0

4 years ago

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than 1

solmaris [256]

Answer:

0.8749

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

$\mu = 0, \sigma = 1$

The probability that Z is less than 1.15 is:

This is the pvalue of Z = 1.15, which is 0.8749.

8 0

3 years ago