Answer:
Where are the graphs
Step-by-step explanation:
I think is 12 1/7 I'm not sure it's correct but I think it is
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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Answer:
<u>In 14 years Marc's grandmother will be 5 times as Marc will be then</u>
Step-by-step explanation:
1. Information given to us to solve the problem:
Marc's age today = 0
Marc's grandmother age today = 56
2. In how many years will Marc's grandmother be 5 times as Marc will be then?
x = Number of years when Marc's grandmother age will be 5 times as Marc will be then
Let's solve for x, this way:
5 times Marc age in x years = Marc's grandmother age in x years
5 (0 + x) = 56 + x
5x = 56 + x
5x - x = 56 (Subtracting x at both sides)
4x = 56
x = 56/4
<u>x = 14</u>
Let's prove that x = 14 is correct:
5 (0 + 14) = 56 + 14
70 = 70
We proved that x = 14 is correct
<u>In 14 years Marc's grandmother will be 5 times as Marc will be then</u>
