Answer:
Salary: $90,500
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:

An employee was having their annual appraisal and the manager indicated that the employee salary for next year has a Z-score of 1.24. Approximately how much will this employee be paid next year in salary?
This is X when
. So




Rouded to the nearest hundred of dollars:
Salary: $90,500
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
A triangular prism
Step-by-step explanation:
The 3 rectangles represent 3 sides of the prism. Imagine folding on the line, and connecting the left side of the first rectangle to the right side of the third rectangle. It will make a triangle that has depth.
Looking that the top and bottom triangles attached to the third rectangle shows us that the top and bottom of this shape are triangles, which matches the three sides.
What we have is a 3D triangle, which we call a triangular prism
Answer:
Acute angle
Step-by-step explanation:
Given that m<C =
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C = 
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.