In a right triangle, one of the angles measures 29º. What is the measure of the
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format .
Where,
b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,
Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.
Plug in the values of m and b into the slope-intercept formula to get the equation of the line.
Let's use the equation to find x when y = 112.
Substitute y = 112 in the equation
Divide both sides by 8
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.