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hjlf
3 years ago
9

A theater group is having a carwash fundraiser. The group can only spend $34 on soap, which is enough to wash 40 cars. Each car

is charged $5. If c represents the total number of cars washed and p represents the profit, Which equation shows the relationship between c and p?
A.) P(c)=5c+34

B.) P(c)=34c+5

C.) P(c)=5c-34

D.) P(c)=5c
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0
If we let c as the number of cars, then the revenue is represented by:
5c
and if the cost of the soap is fixed, then the fixed cost is only
34

The formula for profit is this:
Profit  = Revenue - (Variable Cost + Fixed Cost)

Since there is no variable cost, we only have:
P = 5c - 34

Therefore, the answer is C.
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5 0
3 years ago
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700
const2013 [10]

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

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Z-score = (X - mean) / Standard deviation

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For a 34-week baby,

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For a 41-week baby,

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∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.

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3 years ago
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Answer:

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