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vovangra [49]
3 years ago
10

A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The m

ean city mpg was 28 with a standard deviation of 9.2. The mean highway mpg was 35 with a standard deviation of 8.6. The correlation coefficient between city mpg and highway mpg is 0.95. Although a scatterplot is not show, it has been determined that a linear equation is appropriate for the data. Determine the correct value of the slope for the linear model that predicts highway mpg based on city mpg and interpret it in context.
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

0.89

Step-by-step explanation:

Nunber of samples = 100

City mpg :

Mean = 28

Standard deviation =9.2

Highway mpg:

Mean = 35

Standard deviation = 8.6

correlation Coefficient (r) between city mpg and highway mpg = 0.95.

The value of the slope of the regression line that predicts highway mpg based on city mpg can be obtained by:

(Standard deviation of highway mgp / standard deviation of city mpg) × correlation Coefficient

Slope = (8.6 / 9.2) × 0.95

Slope = (0.934782 × 0.95) = 0.8880

Slope = 0.89 ( two decimal place)

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2.) Determine the sale price to the nearest cent<br> $39.00 jeans<br> 40% off
Sonbull [250]
Ok ok so I saw that someone else had given you an answer but I thought it might be best if you got an explanation to go with it.

Basically to know what your final price is you need to know what percentages represent.
Since they are simply parts of a whole (because you know 100% of something is a whole) we can look them as fractions like 40/100 in this case.

Then we can multiply 39.00 by 40/100 or 0.40 in decimal form and get 15.60.

It’’s important to remember that this 15.60 is just what 40%of 39 is so we still need to subtract it from our total to get the sales price.

39-15.60=23.40

So $23.40 is the sales price

Hope this helps!
7 0
2 years ago
Read 2 more answers
Does (10,1) make the inequality 13x+15y greater than or Equal to 19 true?
12345 [234]

Answer:

Yes

Step-by-step explanation:

13(10) + 15(1) \geq 19

130+15 \geq 19

145 \geq 19   ← Yes it is

6 0
3 years ago
Help please.............................................
BaLLatris [955]

Answer:

B.

Step-by-step explanation:

(-7x + 4)(-7x - 4)

= 49x^2 - 28x + 28x - 16

= 49x^2 - 16.

5 0
3 years ago
Read 2 more answers
A map has a scale of 1 in : 3 km. If the actual distance is 15 km, what is the distance on the map?
Black_prince [1.1K]

Answer:

5 in.

Step-by-step explanation:

The ratio of map distance to real distance is 1 in : 3 km meaning that 1 inch on the map describes 15 km in real life.

15 km is 5 times 3 km, so the map distance is 5 times 1 in., or 5 in.

1 in. x 5 : 3 km x 5

This is a "school math" problem where things come out nicely!  Another way to look at this is with equivalent fractions.

\frac{\text{1 in}}{\text{5 km}} = \frac{\text{m}}{\text{15 km}}

"cross multiply"

5m = (15)(1)\\5m=15\\m=3 \text{ in.}

4 0
3 years ago
If gasoline costs $47.86 for 12.5 gallons of gasoline, how much does it cost for 8 gallons?
g100num [7]

Answer:

8 gallons of gasoline costs $30.63.

Step-by-step explanation:

Set up a proportion to solve for x, or the cost of 8 gallons of gasoline. The $47.86 goes on top of the first ratio, and 12.5 goes on top of the second. This is because the $47.86 is the cost of the 12.5 gallons of gasoline. Next, put x on the bottom of the first ratio and 8 on the bottom of the second ratio. This is because the amount of money you are trying to find, x, is the cost of the 8 gallons of gasoline. The proportion should look like this: \frac{47.86}{x} = \frac{12.5}{8}

To solve the proportion, use cross multiplication. To do that, multiply 8 by 47.86 to get 382.88. Then, divide 382.88 by 12.5. The answer is 30.6304‬, so round to the nearest cent to get a total of $30.63.

I hope this helps! ☺

6 0
3 years ago
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