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Ad libitum [116K]
3 years ago
15

The following sample of bivariate (x, y) data concerning the speed of a car (in miles per hour; MPH) and the corresponding fuel

economy (in miles per gallon; MPG). Use this data to answer the following:
Speed (MPH)

30

40

50

60

70

Fuel Economy (MPG)

31

31

33

32

27



Calculate the correlation coefficient (r) and the line of best fit (y) for the given data set.

What is the best predicted fuel economy (MPG) for the given speed of 55 miles per hour? Show all work to receive credit and provide your reasoning.

Based on the sample data, is it appropriate to predict the fuel economy (MPG) for a given speed of 20 miles per hour? Explain your reasoning.
Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

Answer:

For the answer to the question above, the answer to this question is the last one among the given choices which is D. 0.18 mpg/mph

Simply because  

(34.8 - 33)  

(50-400)

1.8 / 10

Step-by-step explanation:

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Given that the triangles are similar.

When triangles are similar, all three pairs of corresponding sides are in the same ratio.

Similarly in the given triangles, the ratio of the corresponding sides are equal.

\frac{8}{2x-2}= \frac{8+6}{3x}

\frac{8}{2x-2}= \frac{14}{3x}

Cross multiplying, we get

8 \times 3x = 14 \times (2x-2)

24x = 28x-28

-4x = -28

Dividing both sides of the equation by -4.

So, we get

x = 7.

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3 years ago
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The image represents a rectangular patio that has a length equal to 4 feet more than the width. What is the perimeter of the pat
IrinaK [193]

Answer:

  4w+8 feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.

  P = 2(L+W)

  P = 2((w+4) +w)

  P = 4w +8

The perimeter of the patio is 4w+8 feet.

4 0
2 years ago
Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
2√64<br> (+) =8<br> 10-2 <br><br>solve 3√125=? by following steps above​
Liono4ka [1.6K]

<em><u>your </u></em><em><u>question:</u></em><em><u> </u></em>

solve 3√125=? by following steps above

<em><u>answer:</u></em>

<em>I'm</em><em> </em><em>not </em><em>sure </em><em>what</em> <em>the </em><em>steps</em><em>"</em><em> </em><em>are </em><em>but </em><em>I </em><em>got </em><em>33.54101966249 </em>

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2 years ago
What is the area of this figure
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Cut the figure into two parts
area of a rectangle is length x width
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