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OlgaM077 [116]
3 years ago
13

Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 579 and a standard deviation of 94. Use

the 68-95-99.7 Rule to find
the percentage of people taking the test who score between 391 and 767
The percentage of people taking the test who score between 391 and 767 is
%.
Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

The percentage of people taking the test who score between 391 and 767 is 95%.

Step-by-step explanation:

The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 579

Standard deviation = 94

391 = 579 - 2*94

So 391 is two standard deviations below the mean.

767 = 579 + 2*94

So 767 is two standard deviations above the mean.

By the Empirical Rule:

The percentage of people taking the test who score between 391 and 767 is 95%.

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A school is trying to schedule Prayers of chemistry and algebra two. They find that a total of 386,000 are taking either one or
Gre4nikov [31]

Answer: 32%

Step-by-step explanation:

The total number of students that signed up for chemistry and algebra

two is 386.

Let x represent the number of students that signed up for both chemistry and algebra two

If 209 students signed up for algebra two, then the number of students that signed up for algebra two only is

209 - x

If 300 need to have signed up for chemistry, then the number of students that need to have signed up for chemistry only is 300 - x

Therefore,

x + 209 - x + 300 - x = 386

- x + 509 = 386

x = 509 - 386

x = 123

If 123 students would be signed up for both courses, then the probability that a student chosen at random from the 386 will be signed up for both of the courses is

123/386 × 100 = 32%

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3 years ago
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melisa1 [442]

Answer:

Option 3 is the correct answer.

Step-by-step explanation:

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Another graph is of a line y = mx + c which passes through (2, -1) and (0, 0)

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