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DanielleElmas [232]
2 years ago
7

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

Mean is \mu=100 and a standard deviation is \sigma =15, then the variable X\sim N(100,15^2).

Use substitution

Z=\dfrac{X-\mu}{\sigma},\\  \\ Z=\dfrac{X-100}{15}.

This substitution gives you that Z\sim N(0,1).

a. For X=130, Z=\dfrac{130-100}{15}=2 and Pr(X>130)=Pr(Z>2) =0.9772 (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, Z=\dfrac{90-100}{15}=-\dfrac{2}{3} and for X=110, Z=\dfrac{110-100}{15}=\dfrac{2}{3}. Then Pr(90 (the decimal value is taken from the Standard Normal Distribution Table).

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Answer:

x = 1

Step-by-step explanation:

We need to solve for x by isolating the variable.

First, expand the parentheses:

2(x + 1) = 4

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Then subtract by 2:

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Finally, divide by 2:

2x/2 = 2/2

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Thus, x = 1.

Hope this helps!

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Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a
malfutka [58]

Answer:

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Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

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Cross-multiply:

88 + c = 64 * 5 = 320

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Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

<em>~ an aesthetics lover</em>

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Answer:

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Step-by-step explanation:

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