Answer:
x = 12.2
Step-by-step explanation:
sin theta = opp / hypotenuse
sin 55 = 10 /x
Multiply each side by x
x sin 55 = 10
Divide each side by sin 55
x = 10 / sin 55
x =12.20774589
Rounding to the nearest tenth
x = 12.2
Answer:
(-20 - 10) / (-12 - (-10))
-30 / -2
30/2
now the midpoint would be half the two points
30/2 ÷ 2/2 = 15/1
So add 15 to -20 (or subtract 15 from 10) for the y, and add 1 to -12 (or subtract 1 from -10) for the x.
Answer:
options a
Step-by-step explanation:
A. {(–4, –3), (–1, 0), (0, 1), (5, 6)}
Answer:
2.28% of faculty members work more than 58.6 hours a week.
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 average full-time faculty member in a college works an average of 53 hours per week. Standard deviation of 2.8 hours.
This means that 
What percentage of faculty members work more than 58.6 hours a week?
The proportion is 1 subtracted by the p-value of Z when X = 58.6. So



has a p-value of 0.9772
1 - 0.9772 = 0.0228
0.0228*100% = 2.28%
2.28% of faculty members work more than 58.6 hours a week.
Answer: 77 students
Step-by-step explanation: