Answer:
5 hours
Step-by-step explanation:
We can write a ratio
20 laps 100 laps
-------------- = --------------
1 hour x hours
Using cross products
20x = 100
Divide by 20
20x/20 = 100/20
x = 5 hours
Answer:
y = -8x - 1
Step-by-step explanation:
y = mx + b
7 = -8 (-1) + b Substitute in points for x and y. Substitute -8 for m (parallel)
7 = 8 + b
-1 = b
1 1/2 + 1 1/2 & 1 3/4 + 1 1/4
Answer:
The area of the shaded region is 0.9082.
Step-by-step explanation:
Problems of normally distributed samples can be 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, which is the area of the shaded region, 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:

Area of the shaded region:
pvalue of Z



has a pvalue of 0.9082
So
The area of the shaded region is 0.9082.