Using the Empirical Rule, it is found that the interval in which approximately 978 students scored was:
A. 72 < x < 88.5.
<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.
The percentage that 978 is of 1200 is:
978/1200 x 100% = 81.5%.
Considering the symmetry of the normal distribution, two outcomes are possible involving 81.5% of the measures:
- Between one standard deviation below the mean and two above, which in the context of this problem is between 77.5 and 94.
- Between two standard deviations below the mean and one above, which in the context of this problem is between 72 and 88.5, which is option A in this problem.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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75%
Sources: trust me bro
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Answer:
<em>The payment for driving 80 miles is $78</em>
Step-by-step explanation:
<u>Mathematical model
</u>
Mathematical models are used in disciplines like natural sciences and engineering, among many others.
The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:
A fixed charge of $50
A variable charge or $0.35 per mile driven.
<em>Part A</em>
Using m as the number of miles driven for the day, the model for the payment for the car rental is:
P(m)=50+0.35m
<em>Part B</em>
Find the payment if the car is driven m=80 miles:
P(80)=50+0.35*80
P(80)=50+28=78
The payment for driving 80 miles is $78
