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Luden [163]
3 years ago
8

Daniel guesses that he scored a 95 on his science test.His actual score is 91. What is the percent error in Daniel's guess? Roun

d to the nearest tenth of a percent.
Mathematics
1 answer:
Kamila [148]3 years ago
3 0
1) Formula for the percent of error:

                               [estimated measure - real measure]
Percent of error = ---------------------------------------------------- x 100
                                            real measure

2) Calculations:

                             [95 - 91]
Percent error =  --------------- x 100 = 4.4 %
                                 91

Answer: 4.4%
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3 years ago
Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
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Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

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