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Anna11 [10]
3 years ago
10

Mr. Martin bought a microwave that was originally priced $225. He received a 30% discount. What is the sale price of the microwa

ve?
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

67.50

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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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\%

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3 years ago
Lin has a drawing with an area of 18 square inches. If she increases all the sides by a scale factor of 3, what will the new are
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2/3

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2 years ago
Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par
ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0
3 years ago
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