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horsena [70]
2 years ago
11

A retail store did research and determined that, on average, each customer spends 40 minutes in their store per visit, with a st

andard deviation of 2 minutes. What percentage of customers spend more than 46 minutes?
Mathematics
1 answer:
Blababa [14]2 years ago
6 0

Answer:

0.13% of customers spend more than 46 minutes

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 problem, we have that:

\mu = 40, \sigma = 2

What percentage of customers spend more than 46 minutes?

This is 1 subtracted by the pvalue of Z when X = 46. So

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

Z = \frac{46 - 40}{2}

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

0.13% of customers spend more than 46 minutes

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Step-by-step explanation:

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Step-by-step explanation:

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1 year ago
There are 15 girls and 25 boys in a science club what percent of the members were girls
otez555 [7]
   15      /      40             =    .375
total #      total #
of girls      of students

.375 = 37.5%

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3 0
3 years ago
Twenty-two more than a number is 47
Karo-lina-s [1.5K]

Answer:

the number is 25

Step-by-step explanation:

If the number is n, then twenty-two more is n + 22

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8 0
2 years ago
HELP PLEASEE!!! I just need help with the 2 boxes
Soloha48 [4]

Answer:

y= x - 300

y = -246 -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

m = \frac{y_2  - y_1}{x_2 - x_1}

From the table, we can say that:

(x_1,y_1) = (0,-300)

(x_2,y_2) = (300,0)

So, we have:

m = \frac{0  -(-300)}{300 - 0}

m = \frac{0 +300}{300}

m = \frac{300}{300}

m = 1

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-300) = 1(x - 0)

y +300 = 1(x)

y +300 = x

y= x - 300

(b) When x = 54

Substitute 54 for x in y= x - 300

y = 54 - 300

y = -246

3 0
3 years ago
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