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:
CE and GD
Step-by-step explanation:
A secant of a circle is a line which passes through only 2 points of the circle. So it bisects the circle at exactly 2 points. BF is not a secant because even though the points are labelled there is no line passing through. The reason why GD is a secant is because there are the points G and F and a straight line runs through them so that's why it's a secant
Answer:
(5x-1)(x+8)
Step-by-step explanation:
Answer: The height of the person is 96 feet.
Step-by-step explanation:
Hi, to answer this question we simply have to substitute t=4 seconds in the equation given:
h (t) = -6t² + 48t
Replacing and solving:
h(4) = -6 (4)² + 48 (4)
h(4) = -6 (16) + 192
h(4) = -96 + 192
h(4) = 96 ft
The height of the person after 4 seconds is 96 feet.
Feel free to ask for more if needed or if you did not understand something.
