What is x = ? what is AB = ? what is BC = ?

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

3 years ago

I need help with this problem

marishachu [46]

True

∠2 and ∠5 are both vertical at the vertex of the 2 straight lines

7 0

3 years ago

Mary spent a total of $354.71 for a party. She spent $200.76 on food, plus an additional $30.79 for each hour of the party. How

Rainbow [258]

Answer:

Total is 5 hours.

Step-by-step explanation:

... in the attached picture.

Hope this helps!

Choose me for brainliest please!!!

7 0

1 year ago

100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Solve for x 2/(7x) = 6/5 5/21 -21/5 21/5 I don't know - 5/21

djverab [1.8K]

The answer is: [A]: " $\frac{5}{21}$ " .
________________________________________
Given:

2/ (7x) = 6/5;

→ (6/5) * (7x) = 2 ;

42x / 5 = 2 ;

42x = 2*5 ;

42x = 10 ;

42x /42 = 10/42 ;

x = 10/42 = (10÷2) / (42÷2) = 5/21 ;

x = $\frac{5}{21}$ ;

→ which is: Answer choice: [A]: " $\frac{5}{21}$ " .
__________________________________________________

7 0

3 years ago