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2 years ago

9

James is building a deck for a client and has several pieces of wood he wants to use. The sizes of the pieces of wood are 1.5m,

2500, 850, 4.8 what

1 answer:

TiliK225 [7]2 years ago

4 0

Answer:

$Total = 9.65m$

Step-by-step explanation:

Given

$Pieces: 1.5m, 2500mm, 850mm, 4.8m$

Required

The total length in metres (this completes the question)

The total length is:

$Total = 1.5m + 2500mm + 850mm + 4.8m$

Convert mm to m

$Total = 1.5m + 2500*0.001m + 850*0.001m + 4.8m$

$Total = 1.5m + 2.5m + 0.85m + 4.8m$

$Total = 9.65m$

<em>The total length of the wood is 9.65 metres</em>

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Answer:

$\frac{7^{36}}{9^{24}}$

Step-by-step explanation:

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

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Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

$Z = \frac{X - \mu}{\sigma}$

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

$Z = \frac{X - \mu}{\sigma}$

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

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$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

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2 years ago

A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm Wha

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Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

$Quarters = 40$

$Thickness = 1.75mm$

$diameter = 24.26mm$

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

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Where

$r = \frac{1}{2} * diameter$

$r = \frac{1}{2} * 24.26mm$

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And the thickness represents the height.

So:

The volume is:

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The volume of the 40 is:

$Roll= 40 * 809.03mm^3$

$Roll=32361.20mm^3$

The closest option is (d):

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