Answer:
C. 45 and 141 seconds
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 93 seconds
Standard deviation = 16 seconds
99.7% of running times are approximately between:
By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean
3 stnadard deviations below the mean
93 - 3*16 = 45 seconds
3 standard deviations above the mean
93 + 3*16 = 141 seconds
The correct answer is:
C. 45 and 141 seconds
Answer:
y = 2x + 4
Step-by-step explanation:
Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').
Thus, the slope of this line is m = rise / run = 4/2 = 2
Using the slope-intercept formula, we get y = mx + b = 2x + b
Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:
y = 2x + 4
9514 1404 393
Answer:
5
Step-by-step explanation:
Let f represent the number of friends. Their total earnings are ...
21f = 105
f = 105/21 = 5 . . . . . divide by the coefficient of f
There are 5 friends in the group.
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➷ 90 is an integer, and the closest others are 89 and 91
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