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OlgaM077 [116]
3 years ago
8

What is percentage of sat scores between 401 and 629

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
Part of the question that is mission: SAT math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

Solution:
For scores between 401 and 629 = (515-114 = 401) and (515+114 = 619). In other words, the range given is within 1 standard deviation.

Based on Empirical rule, 1 standard deviation represents approximately 68% thus 68% is percentage of SAT scores between 401 and 629.
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Step-by-step explanation:

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A
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Answer:

A: 779 cm²

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Step-by-step explanation:

For both problems, use the formula for surface area of a cylinder:

SA = 2πr² + 2πrh

2πr² is the two bases.

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<u>PROBLEM A</u>

"the cylinder is 60 cm long" is h = 60.

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Given d = 4, then r = 2.

SA = 2πr² + 2πrh

SA = 2π2² + 2π2(60)

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SA = 248π                       Exact answer

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SA ≈ 779           Rounded answer

Remember to include the units.

The surface area is about 779 cm².

<u>PROBLEM B</u>

"80 cm long" h = 80.

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SA = 2πr² + 2πrh

SA = 2π(11/π)² + 22(80)       Substitute 2πr with the circumference.

SA ≈ 1837.030992            Answer on calculator

SA ≈ 1837               Rounded answer

Remember to include the units.

The surface area is about 1837 cm².

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