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Citrus2011 [14]
3 years ago
9

How does the speed at which you drive affect your fuel economy? To find out, researchers drove a compact car for 200 miles at sp

eeds ranging from 35 to 75 miles per hour. From their data, they created the model Fuel Efficiency = 32 - 0.1 Speed and created this residual plot:

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Explanation:

The formula i.e.

Fuel Efficiency = 32-0.1*speed

represents that the efficiency on very lower speeds will be affected very minor as the multiple of 0.1 which will be subtracted from 32 will be small value.

Secondly, as per attached full question and graph plot, it is clear that up to 26.5 predicted (mpg), the trend of Residual (mpg) is increasing while after 26.5, it starts to decrease nearly linearly.

It's slop can be find out by two point formula i.e.

slope = m =(y2-y1)/(x2-x1)

=(1-2.5)/(27.5-27)

=(-1.5)/(0.5)

=-3

negative sign shows decreasing trend of second half plot

You might be interested in
2/5 g+3h -6 when g=10 h=6
motikmotik
<h3>hello!</h3>

let's evaluate this expression

\pmb{\displaystyle\frac{2}{5}g+3h-6 }

\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}

\pmb{\displaystyle\frac{2}{5} *10+18-6}

\pmb{\displaystyle\frac{2}{5} *10+12}

Multiply:

\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}

Final Step:-

\pmb{4+12}

\pmb{16}

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

5 0
2 years ago
PLEASE HELP!! Dee bought 6 dolls and 2 toy trains for $55. At the same prices, Joy bought 4 dolls and 7 toy trains for $65. What
GuDViN [60]

Answer:

The cost of 1 doll   =  $ 7.5

and The  Cost of 1 toy train =   $ 5

Step-by-step explanation:

Let the price of 1 doll  = $ x

The price of  1 toy train  = $ y

Now, according to the question:

6 x + 2 y  = $ 55

and  4 x   + 7 y = $ 65

Solving the given system of equation,

From (1), we get

x= \frac{55 - 2y}{6}

4 ({\frac{55 - 2y}{6}} )  + 7y = 65

or, solving for y , we get

110y - 4y + 21 y = 195

or, 17 y = 85

⇒ y= 85/17 = 5

This implies :  6 x + 2 (5)   =55

or, 6x = 55 - 10 = 45

or, x =  45/ 6 = 15/2

Hence, the cost of 1 doll  = x = $ 7.5

and the Cost of 1 toy train =  y = $ 5

5 0
3 years ago
Which statement represents the relationship between y=4^x and y=log4x?
Deffense [45]
It's going to be # 2
6 0
3 years ago
Read 2 more answers
Use the function below to find F(3)
garik1379 [7]

Answer:

Theanswer is 4/27.

Step-by-step explanation:

given that, F(x) = 4×(1/3)^x

now , F(3)= 4×(1/3)^3 ( putting value of x)

or, F(3) = 4×(1/27)

therefore, F(3)= 4/27... ans

<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Please help! Solve for g
7nadin3 [17]

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

5 0
3 years ago
Read 2 more answers
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