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Hunter-Best [27]
3 years ago
14

Lilys car has a fuel efficiency of 8 liters per 100 kilometers.

Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

100 : 8 = 12.5

12.5 Km per liter is your answer

marin [14]3 years ago
7 0

Answer:

12.5 km per liter.

Step-by-step explanation:

We have been given that  Lily's car has a fuel efficiency of 8 liters per 100 kilometers. We are asked to find fuel efficiency of Lily's car in kilometers per liter.

\text{Fuel efficiency}=\frac{\text{Total distance traveled}}{\text{Total fuel}}

\text{Fuel efficiency}=\frac{\text{100 km}}{\text{8 liters}}

\text{Fuel efficiency}=\frac{\text{12.5 km}}{\text{liter}}

Therefore, fuel efficiency of Lily's car is 12.5 km per liter.

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3 0
3 years ago
Express the area of the rectangle in term of x
aalyn [17]

Answer:

Area = 12-\frac{4}{35}x

Step-by-step explanation:

Length of the given rectangle 'l' = (15 - \frac{1}{7}x)

Width of the given rectangle 'w' = \frac{4}{5}

Area of the rectangle = lw

                                    = \frac{4}{5}(15-\frac{1}{7}x)

                                    = \frac{4\times 15}{5}-\frac{4}{5}\times \frac{1}{7}x

                                    = 12-\frac{4}{35}x

Therefore, expression that defines the area of the given rectangle will be,

Area = 12-\frac{4}{35}x

4 0
3 years ago
She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

2) x* $15+ y* $9= $159

From equation 1

x+y= 15  

x=15-y

<em>we replace this x value in equation 2</em>

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

<u>11=y</u>  <em>the number of hours she worked at grocery store. </em>

<em>we place y=11 in our derived x equation</em>

x=15-y

x=15-11

<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>

3 0
3 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied by the service provided by the
zheka24 [161]

Answer:

The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Past studies suggest this proportion will be about 0.15

This means that p = 0.15

Find the sample size needed if the margin of error of the confidence interval is to be about 0.04

This is n when M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.15*0.85}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.15*0.85}

\sqrt{n} = \frac{1.96\sqrt{0.15*0.85}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.15*0.85}}{0.04})^{2}

n = 17.5

Rounding up

The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.

8 0
3 years ago
Teds needs a average of at least 70 on his three history test. he has already scored 85 and 60 on two test. what is the minimum
amm1812
Teds minimum grade he needs on his third test is 65

85 + 60 + 65 = 210

210 divide by three (as there are three tests) = 70
4 0
3 years ago
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