Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer:
x = 13.5
Step-by-step explanation:
direct variation
y = kx
substitute x and y to find k
8 = k*6
divide by 6
8/6 =k
4/3 = k
y = 4/3 x
now put in y =18
18 = 4/3 x
multiply by 3/4
18 * 3/4 = 3/4 * 4/3 x
54/4 = x
change to a decimal
13.5 =x
Answer:
The answer is "150 unit"
Step-by-step explanation:
scale factor = 1:15
height = 10
dimension =?
let dimension = x
Answer:
A
Step-by-step explanation:
100/25 = 4
but we have 5 students absent so 25-5=20
100/20 = 5
so A
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 <em>Subtract money for savings</em>
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 <em>Add taxes</em>
160 - 143.33 = $16.67 <em>Subtract money for purchases from money left after savings</em>
