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navik [9.2K]
3 years ago
5

The foreman of a bottling plant has observed that the amount of soda in each 32-ounce bottle is actually a normally distributed

random variable, with a mean of 32.2 ounces and a standard deviation of 0.3 ounce.
If a customer buys one bottle, what is the probability that the bottle will contain more than 32 ounces?

If a customer buys a cartoon of four bottles. What is the probability that the mean amount of the four bottles will be greater than 32 ounces?
Mathematics
1 answer:
aksik [14]3 years ago
6 0

Answer:

Step-by-step explanation:

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Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and
Alika [10]

Answer:

3 spoons were sold last April

Step-by-step explanation:

Let x represent the total number of forks that they made last month.

Let y represent the total number of spoons that they made last month.

It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x

It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.

Total cost of making x forks and y spoons is 1.7x + 1.3y

Last April Molly's Custom Kitchen Supplies spent $37.90. This means that

1.7x + 1.3y = 37.90 - - - - - - - - - - 1

The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x

The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.

Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

5 0
3 years ago
sharon earns $25 per item that she sells plus a base salary of $150 per week. write and solve an inequality to find how many ite
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She has to sell 24 items
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A bank loaned out $22,500, part of it at the rate of 14% annual interest, and the rest at 2% annual interest. The total interest
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
The moon has a radius of 1,079 miles. What is the circumference of the moon? Express your answer in terms of
MatroZZZ [7]

Answer:

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4 0
2 years ago
Julia's service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount befor
Ivan
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
                                                       = (1/5) * 72.60
                                                       = 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
                                                                                                      = 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
                                                       = 696.96/100
                                                       = 6.969
                                                       = 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
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Julia paid a total of $94.07 for the service she received at the salon.

5 0
3 years ago
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