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Gala2k [10]
3 years ago
13

A shoe box in the shape of a right rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high. What i

s the volume of the shoe box in cubic inches?
Mathematics
2 answers:
timama [110]3 years ago
6 0
The volume is 420 cubed inches 
Katena32 [7]3 years ago
6 0

the answer will be 420 im pretty sure

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12j - 25

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

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c.  0.00058

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Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

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-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

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3 years ago
If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?
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Answer: 20 pages

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