Answer:
Yes
Step-by-step explanation:
For ease, let's multiply these by 10,000.
0.09 • 10,000 = 900.00 = 900
0.0003 • 10,000 = 3.00 = 3
900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.
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:
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Step-by-step explanation:
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The area of the trapezoid is 118 squre units
<h3>Area of a trapezoid</h3>
The formula for calculating the area of a trapezoid is expressed as:
- A = 0.5(a+b)h
- a = AD = √20
- b = BC = √80
- height = h = √40
Substitute into the formula
A = 0.5(√1600)*√40
A = 0.5 * 40 * √40
A = 20√40
A = 118 squre units
Hence the area of the trapezoid is 118 squre units
Larn more on area of a trapezoid here: brainly.com/question/1463152
