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Drupady [299]
3 years ago
13

1000÷0.833......................................​

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
The answer is 1,200.48
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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
What is the absolute value of -5/8?
Gemiola [76]

well, -5/8 is -0.625.

the absolute value of -0.625 is 0.625.

and abs value of -5/8 is 5/8

7 0
3 years ago
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I need help on this homework because I'm so stuck on this can you please help me
Svetlanka [38]
I answered ALL your 15 problems. Sorry, I took long.
Please mark me brainliest if this helped you. That will help me a lot ...

I hope it helps! 

7 0
3 years ago
In triangle MPN, angle P is a right angle. If cos N= 3/5 which of the following statements is true
Bezzdna [24]

Answer: Sin N = \frac{4}{5}

Step-by-step explanation:

Since we have given that

In triangle MPN, ∠P=90°

\cos N=\frac{3}{5}

As we know the formula for "Trigonometric Ratios":

\cos N=\frac{Base}{Hypotenuse}=\frac{3}{5}

By Pythagorus theorem , we get

H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=\sqrt{16}\\\\P=4\ units

So, we get,

\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}

Hence, Sin N = \frac{4}{5}

3 0
3 years ago
Two parallel lines are crossed by a transversal.<br> What is the value of x?
Bond [772]

Answer:

what are the questions

Step-by-step explanation:

4 0
3 years ago
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