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:
z=128
Step-by-step explanation:
z/16=8
z=8*16
z=128
Is there supposed to be more of this question? Or is there supposed to be a graph?
Givens
Start = S = - 700
# Correct = C = 8
Value Correct = VC = 400
# Incorrect =I = 9
Value Incorrect =VI = - 600
Equation
Score = S + C*VC + I*VI Substitute
Solve
Score = -700 + 8*400 + 9(-600)
Score = -700 + 3200 - 5400
Score = - 700 - 2200
Score = - 2900 <<<<< Answer
