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3 years ago

I am literally sok confused about these... please help

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

Divide the diameter by 2 which will then be 7

Circumference of circle is 2 $\pi$ r

2*7=14

14* $\pi$ =14 $\pi$ cm

I hope this helps!

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Answer:

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

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Answer:

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Step-by-step explanation:

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

-Let X a random variable denoting the number of calories consumed.

-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)

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$P(X$

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$P(X$

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:

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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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