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Delicious77 [7]
3 years ago
8

Unit price $12 for 150lb bag

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

For $1 its 12.5lbs

Step-by-step explanation:

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make a whole retangle then do the length times the width on both then add together

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Factorise fully the following<br> 3 x + 6
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3x + 6 = 0 \\ 3x = 0 - 6 \\ 3x =  - 6 \\ x =  \frac{ - 6}{3}  \\ x =  - 2

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What is the volume of the triangular prism?
Oksi-84 [34.3K]

Answer:

B) 115.5m^3

Step-by-step explanation:

to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:

the measurements are:

base=7m

height=3m

length=11m

the area of the triangle in one side is:

triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2

and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:

volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3

which is option B)

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The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds
Feliz [49]

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use 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 = 200, \sigma = 50

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

Z = \frac{220 - 200}{50}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 170

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

Z = \frac{170 - 200}{50}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

6 0
4 years ago
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