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prisoha [69]
3 years ago
7

Multpily 10/-8 x 2/7 x (-9)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer: 72/35

Step-by-step explanation:

10/-8 = -8/10 = -.8

-0.8*(2/7)*-9= about 2.06.(72/35)

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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
Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)
Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0
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nadya68 [22]

Answer:

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4 0
4 years ago
John goes to a bookstore. he wants to buy at. most 25 books and spend at most $75. paperback books cost 1.75 and har cover books
Yanka [14]

Answer:

  • x + y ≤ 25
  • 1.75x + 2.50y ≤ 75

Step-by-step explanation:

  • Paperback books = x
  • Hard cover books = y

<u>Number of books:</u>

  • x + y ≤ 25

<u>Cost of books:</u>

  • 1.75x + 2.50y ≤ 75

The system above is the one we need

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Please find x ft, pleeaase help
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Answer:

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Step-by-step explanation:

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