The <span>polyhedron has 12 faces
</span>
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:
y = 3x + 2
Step-by-step explanation:
The shaded region is somewhat going up, and the graph is positive. That leaves 2 answer choices. If you measure the slope by counting the blocks from one point to another by counting up/down from one point to the height to another point, and then go right or left to the other point. the slope is 3, therefore y = 3x +2 is the answer, as it is the only one that the shaded region is above the line and that has a slope of 3. Hope this helps!
Answer:
I made the problem in a photo so you could do it for the next
Answer:
6 √(10) i (the last option)
and 6i√10
Step-by-step explanation:
√-40 = √4 * √-10 = 2√(10) i
3 * 2√(10) i
= 6 √10 i
Also 6i√10 is equivalent