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3 years ago

11

John plant trees for a living. He has weekly expenses of $425 plus an additional $35 for each tree. If he charges $120 for each

tree he plants, how many trees does he have to plant each week before he can make a profit?

2 answers:

Gelneren [198K]3 years ago

5 0

Your answer is 3, hope this helps

Mars2501 [29]3 years ago

4 0

<span>3*120+3*35=360+105=465
He needs to plant 3 trees to make a profit.</span>

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Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

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And replacing we got

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And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

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$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

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And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

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