Answer: D
Step-by-step explanation:
The equation 3x+1/2=4
meaning x would equal 7/6
Answer:
The z-score for the trainee is of 2.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean of the test scores is 72 with a standard deviation of 5.
This means that 
Find the z-score for a trainee, given a score of 82.
This is Z when X = 82. So



The z-score for the trainee is of 2.
<h3><u>
The value of y is 1.6</u></h3><h3><u>
The value of x is 4.5</u></h3>
By elimination:
2x + 5y = 17
6x - 5y = 19
<em><u>We can add the second equation to the first in order to isolate one variable.</u></em>
(2x + 5y) + (6x - 5y)
8x = 17
<em><u>Because we added the left side, we have to add the right side here as well.</u></em>
17 + 19 = 36
8x = 36
<em><u>Divide both sides by 8</u></em>
x = 4.5
We can plug this value back into the original equation to find the value of y.
2(4.5) + 5y = 17
9 + 5y = 17
<em><u>Subtract 9 from both sides.</u></em>
5y = 8
<em><u>Divide both sides by 5.</u></em>
y = 1.6