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gregori [183]
1 year ago
5

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

y 5 ft by 8.5 ft. The container is entirely full. If, on average, its contents weigh 0.21 pounds per cubic foot, and, on average, the contents are worth $8.80 per pound, find the value of the container’s contents. Round your answer to the nearest cent.
Mathematics
1 answer:
____ [38]1 year ago
7 0

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

\begin{gathered} Volume\text{ = }7\times5\times8.5 \\  \\ =297.5 \end{gathered}

The formula of density is:

\text{ Density =}\frac{\text{  Mass}}{\text{ Volume}}

So,

\begin{gathered} 0.21=\frac{\text{ Weight  of contents in container}}{\text{ Volume of container}} \\  \\ 0.21=\frac{\text{ Weight}}{297.5} \\  \\ 0.21\times297.5=\text{ Weight} \\  \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}

Now $8.80 per pound

For 62.475 pounds the value is:

\begin{gathered} =62.475\times8.80 \\  \\ =549.78 \end{gathered}

So the value of the container contents is 549.78

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A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

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.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

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

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
3 years ago
Help me with my math for brainiest:)
MissTica
Answers:
1. P=3

Step by step:
P-5=-2 -move the constant to the right hand side and change its sign

P=-2+5 - calculate the sum

P=3


2. W=-2.8

Step by step:
W+13.2=10.4 - move the constant tot he right hand side and change its sign

W=10.4-13.3 - calculate the difference

W=-2.8

3. X=2/3

Step by step:
X-5/6=-1/6 - move the constant to the rig hand side and change its sign

X=-1/6+5/6 - calculate the sum

X=2/3


7 0
3 years ago
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