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Alexxx [7]
3 years ago
14

A hardware store pays $3500 for 42 lawnmowers.Then the store sells the lawnmowers for $99 each.How much profit does the store ma

ke from the lawnmower sales?
Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer: the profit is $4750

Step-by-step explanation:

A hardware store pays $3500 for 42 lawnmowers. This means that the amount that the hardware store paid for one lawnmower would be

3500/42 = $500/6

Then the store sells the lawnmowers for $99 each. This means that the total revenue that the store got from selling 42 lawnmowers would be

500/6 × 99 = $8250

Profit = Revenue - cost

Therefore, profit that the store makes from the lawnmower sales is

8250 - 3500 = $4750

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Suppose the daily customer volume at a call center has a normal distribution with mean 5,500 and standard deviation 1,000. What
lakkis [162]

Answer:

0.0665 = 6.65% probability that the call center will get between 4,800 and 5,000 calls in a day.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 5,500 and standard deviation 1,000.

This means that \mu = 5500, \sigma = 1000

What is the probability that the call center will get between 4,800 and 5,000 calls in a day?

This is the p-value of Z when X = 5000 subtracted by the p-value of Z when X = 4800. So

X = 5000

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

Z = \frac{5000 - 5500}{1000}

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

X = 4800

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

Z = \frac{4800 - 5500}{1000}

Z = -0.7

Z = -0.7 has a p-value of 0.2420.

0.3085 - 0.2420 = 0.0665

0.0665 = 6.65% probability that the call center will get between 4,800 and 5,000 calls in a day.

4 0
3 years ago
A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have
Digiron [165]
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z  = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8

This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:

She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.

If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
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24 cups of popcorn can be made from 0.75 cups of kernels.

Step-by-step explanation:

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Will give brainlist!
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A segment bisector is a geometric figure that divides the line segment exactly in half.

Vertical angles theorem states that vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent.
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Natalia paid $38.95 for three medium-sized pizzas and a salad. Solve an equation to find the cost of one pizza,p, if Natalia pai
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