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natulia [17]
3 years ago
10

5. There are 400 students in the senior class at Oak Creek High School. All 2 points

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer:

The number of students who scored within 2 standard deviations of the mean is 380.

Step-by-step explanation:

The Empirical 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.

The number of students who scored within 2  standard deviations of the mean is approximately

By the Empirical Rule, 95% of the students scored within 2 standard deviations of the mean

Out of 400

0.95*400 = 380

The number of students who scored within 2 standard deviations of the mean is 380.

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Answer:

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Step-by-step explanation:

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3 years ago
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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

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⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

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5 0
1 year ago
What is the percent 200% of 54
sweet-ann [11.9K]
So if 54 is 100% then 200% is double therefore 200% of 54 is 108
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Simplify:<br> 2x²(4x³-3x²+6x)
eimsori [14]
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