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iogann1982 [59]
3 years ago
10

Please help with this

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

1}option D is your answer

2} option B is ur answer

Step-by-step explanation:

because 0.125 is greater than 0.120 and it has been correctly compared in the above given picture

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2617 and standard deviation
Eduardwww [97]

Answer:

a) N(2617, 586)

b) 0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c) 0.4013 = 40.13% of the customers consume over 2764 calories

d) 3981 calories.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 2617, \sigma = 586

a. What is the distribution of X?

Here we first place the mean, then the standard deviation.

N(2617, 586)

b. Find the probability that the customer consumes less than 2409 calories.

This is the pvalue of Z when X = 2409. So

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

Z = \frac{2409 - 2617}{586}

Z = -0.355

Z = -0.355 has a pvalue of 0.3613

0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c. What proportion of the customers consume over 2764 calories?

This is 1 subtracted by the pvalue of Z when X = 2764. So

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

Z = \frac{2764 - 2617}{586}

Z = 0.25

Z = 0.25 has a pvalue of 0.5987

1 - 0.5987 = 0.4013

0.4013 = 40.13% of the customers consume over 2764 calories

d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?

Top 1%, so the 100-1 = 99th percentile.

The 99th percentile is the value of X when Z has a pvalue of 0.99. So it is X when Z = 2.327. So

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

2.327 = \frac{X - 2617}{586}

X - 2617 = 2.327*586

X = 3980.6

Rounding to the nearest calorie, 3981 calories.

7 0
2 years ago
How do you solve the right triangle
yaroslaw [1]
Area:
A = base times height/2

Perimeter:
base time length times width 
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2 years ago
Ben is saving money in his senior trip to Europe. On the first day, he put in $10 and plans to add five more dollars each day, W
Nadusha1986 [10]

Answer:

5xn+5

Step-by-step explanation:

if you times 5 by n amount of days you will get how much he would have on that day but you need to add 5 as he added 10 on the first day

hope that helps

(if that doesn't work try 5xn+10)

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PLEASE HELP!!!!!!!!!!!!
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The first step should be to take away the 4 loose balls with the canisters. You would need to take 4 away from the other side as well.

The answer is D.

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Emerson drives 135 miles at 60 miles per hour to get to the train station. He waits 20 minutes for a train. Then he travels 350
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Answer: 4.4

Step-by-step explanation:

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