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Verizon [17]
3 years ago
12

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr

ibution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule 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.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

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olya-2409 [2.1K]
11+13= 24

13-11= 2

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I hope this helps!
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2 years ago
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lina2011 [118]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7

On simplifying both the expressions we get:

\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1

Compute the value of both expressions for <em>x</em> = 2 as follows:

\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27

The value of both expressions are same for <em>x</em> = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

6 0
2 years ago
Ron had 20 apples. He used 2/5 of the apples to make pies. How many apples did Ron use for pies?
Mnenie [13.5K]
1/5 of 20 is 4.

2/5 of 20 is 8.

Therefore, Ron used 8 apples to make his pies.
4 0
2 years ago
Read 2 more answers
Please help me asap!!!
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Answer:

8

Step-by-step explanation:

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2 years ago
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of
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Answer:

Look below

Step-by-step explanation:

Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12

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Find the scale factor of the A to B

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Scale factor is 3

Now divide all the sides by scale factor

6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4

Add them all together to get the perimeter

2+3+3+4 = 12

Perimeter of B is 12

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3 years ago
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