Answer:

Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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 question:

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So



Answer:
x can have two complex solutions, which are:
-2 + i
-2 - i
Step-by-step explanation:
2x² + 8x + 10 = 0
4x² + 16x + 20 = 0
4x² + 16x + 16 = -4
(2x + 4)² = -4
2x + 4 = √-4
2x = -4 ± i√4
2x = -4 ± 2i
x = -2 ± i
So x is equal to -2 + i and -2 - i.
For the square with side length n, the diagonal measures:

<h3>
How to get the length of the diagonal?</h3>
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

That is the length of the diagonal.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²