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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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Sophie [7]

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

7 0
3 years ago
Order six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest.
NNADVOKAT [17]

The order of six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

<h3>Ascending order</h3>

This is the arrangements of numbers from the least to the greatest, that is, from lower value to higher value.

six and three tenths repeating

= 6.333

negative six and four ninths

= -6 4/9

= -6.444

630%

= 630/100

= 6.3

−6.1

From least to greatest:

  • negative six and four ninths
  • −6.1
  • 630%
  • six and three tenths repeating

Therefore, the order six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

Learn more about ascending order:

brainly.com/question/12783355

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4 0
1 year ago
Y= (x + 3/2) ^2 - 1/4<br> Convert to standard form
ioda

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
What is the y-intercept of the graph of x - 8 = y-(-5)?
damaskus [11]

Answer:

A. -13

Step-by-step explanation:

y - (-5) is the same as y + 5

x - 8 = y + 5; you then subtract 5 from both sides

x - 13 = y

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2 years ago
Help with this one because I do not know how to do perpendicular plz put explanation with steps worth 50!
Yuri [45]

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line 2x-3y=12 is 3x+2y=34  

Step-by-step explanation:

Given:  

2x-3y=12  

To Find:  

Equation of line passing through ( 16, -7) and is perpendicular to the line  

2x-3y=12  

Solution:  

2x-3y=12 ...........Given  

\therefore y=\dfrac{2}{3}\times x-4

Comparing with,  

y=mx+c  

Where m =slope  

We get  

Slope = m1 = \dfrac{2}{3}  

We know that for Perpendicular lines have product slopes = -1.

m1\times m2=-1

Substituting m1 we get m2 as

\dfrac{2}{3}\times m2=-1\\\\m2=-\dfrac{3}{2}

Therefore the slope of the required line passing through (16 , -7) will have the slope,

m2=-\dfrac{3}{2}  

Now the equation of line in slope point form given by  

(y-y_{1})=m(x-x_{1})  

Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,  

(y-(-7))=-\dfrac{3}{2}\times (x-16)\\\\2y+14=-3x+48\\3x+2y=34......Equation\ of\ line  

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line  2x-3y=12 is

3x+2y=34  

3 0
3 years ago
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