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:
standard form for a quadratic expression
Step-by-step explanation:
This is a quadratic expression. If you want this expression in standard form, write the terms in descending order of powers of x: -2x^2 + 1.
This -2x^2 + 1 has not yet been factored.
-2x^2 + 1 is in standard form.
The answer is 8 since when you replace t by 3 it will be 3+5=8
Answer:
4
Step-by-step explanation:
You would first do 2/3 times 6/1 which is 12/3. Then you would simplify and divide 12 by 3 to get 4.
The correct answer to this question is <span>12.25 sq inches.
</span>
The largest rectangle is a square.
So if you divide 14" by 4 then you get 4 3.5" sides.
Area of a rectangle = L*W
<span>Area of a rectangle = 3.5 * 3.5</span>
<span>Area of a rectagle = 12.25 sq inches</span>
