Answer:
13.125 cubic inches
Step-by-step explanation:
Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches
Use the arithmetic operations to get the variable x on one side of the equation and everything else on the opposite side.
If something is being is being done to a variable, we undo that operation by using the inverse of that operation.
For example, if 10 is being added to x, we use the inverse of addition or subtraction.
18 - 7x = -20.5
We variable x is being multiplied by 7 and is subtracting 18. We need to undo all those operations.
18 - 7x = -20.5
-7x = -38.5
Now the variable is only being multiplied by -7. Reverse the operation.
-7x = -38.5
x = 5.5
So, x is equal to 5.5.
Answer:
a) The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is 3.645.
Step-by-step explanation:
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 problem, we have that:

a)Find the percentage of athletes whose GPA more than 1.665.
This is 1 subtracted by the pvalue of Z when X = 1.665. So



has a pvalue of 0.1251
1 - 0.1251 = 0.8749
The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.
His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.




John's GPA is 3.645.
Angle B is 45, angle A is 108, angle C is 27