Answer:
9 and 18
Step-by-step explanation:

Answer:
p = 3
Step-by-step explanation:
27p + 6.25 = 87.25
- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81
81/27 = 3
p = 3
Answer:
-3
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
The rate of change is the ratio of the change in Y to the change in X.
When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44. The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4). The ratio of the change in Y to the change in X is 44/4=11.
Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.
Answer:
The bulbs should be replaced each 1436.9 hours.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
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:

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.




The bulbs should be replaced each 1436.9 hours.