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



We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
Answer:
Patrick walk approximately <u>112 yards</u>.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:





Therefore, Patrick walk approximately 112 yards.
-10.3 + y = 5.2
First, regroup the terms. / Your problem should look like:
Second, add 10.3 to both sides. / Your problem should look like:
Third, add 5.2 + 10.3 to get 15.5 / Your problem should look like:

Answer:
y = 15.5 (D)
Answer:
The answer is the option 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that

-----> by vertical angles
-----> given problem
-----> given problem
substitute
