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NemiM [27]
3 years ago
15

Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

bability that randomly selected adults has and IQ greater than 123.4
Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

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MatroZZZ [7]

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

4 0
3 years ago
I need some help please​
Mama L [17]

Answer:

109

Step-by-step explanation:

Formula

<ZHG + <IHZ = <IHG

Givens

<ZHF = 11x - 1

<IHZ = 24

<IHG = 12x + 13

Solution

11x - 1 + 24 = 12x + 13             Combine terms on the left

11x + 23 = 12x + 13                  Subtract 13 from both sides

<u>      - 13             - 13  </u>

11x + 10 = 12x                           Subtract 11x from both sides

<u>-11x           -11x</u>

        10 =   x

Answer

11x - 1 = 11*10 - 1 = 110 - 1 = 109

7 0
3 years ago
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Answer: 7

Step-by-step explanation:

9/6 = 1.5

1200 x 1.5 = 1800 (t-shirts a work day)

12 600/1800 = 7

7 work days

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