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Korolek [52]
3 years ago
6

Nicole is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Com

pany A charges $117 and allows unlimited mileage.Company B has an initial fee of $75 and charges an additional $0.70 for every mile driven.For what mileages will Company A charge at least as much as Company B? Use m for the number of miles driven, and solve your inequality for m.
Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

Answer:

It takes 60 miles driven with company B for charge as much as company A

Step-by-step explanation:

Company A = $ 117 with unlimited mileage.

Company B = $ 75 + (m × $0,70)

Let's find the number of miles driven in company B for charge as much as company A:

$ 75 + (m × $ 0,70) = $ 117

m × $ 0,70 = $ 117 - $ 75

m = $ 42/ $0,70

m = 60 miles

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(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
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(95-72.97)^2=485.3209

Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333

The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8



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