Answer:
x= 7
Step-by-step explanation:
Answer:
|5| = 5 and |2| = 2 and because 5 > 2, our answer is |5| > |2|.
Let

be the random variable for the weight of any given can, and let

and

be the mean and standard deviation, respectively, for the distribution of

.
You have

Recall that for any normal distribution, approximately 99.7% of it lies within three standard deviations of the mean, i.e.

. This means 0.3% must lie outside this range,

. Because the distribution is symmetric, it follows that

.
Also recall that for any normal distribution, about 95% of it falls within two standard deviations of the mean, so

, which means 5% falls outside, and by symmetry,

.
Together this means

Solving for the mean and standard deviation gives

and

.
Answer:

Step-by-step explanation:
We have the two functions:

And we want to find:

This is equivalent to:

Therefore, we will have:

By substitution:

Simplify. Square and distribute:

Rearrange:

Combine like terms:

Answer:
The last one
Step-by-step explanation:
in the second part, x2 could to pull out as x