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Alexus [3.1K]
3 years ago
7

The floor of the school art closet is be tiled. The closet shaped like a parallelogram. The parallelogram has a base of 16.5 fee

t and a height of 6 feet. Each package of the tile will cover 5 square feet. How many packages of tile will be needed to tile the music room floor?
Mathematics
1 answer:
son4ous [18]3 years ago
3 0
The area of the parallelogram is given by:
 A = b * h
 Where,
 b: base
 h: height
 Substituting values we have:
 A = (16.5) * (6)
 A = 99 feet ^ 2
 The number of packages will be:
 N = 99/5
 N = 19.8
 Rounding:
 N = 20
 Answer:
 
It will be needed 20 packages of tile to tile the music room floor
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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:

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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
I need help with this question please
irinina [24]
The answer is 0
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3 years ago
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lawyer [7]

Answer:

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