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love history [14]
3 years ago
10

A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr

ops 85 feet. On the second hill the coaster climbs 103 feet and then drops 110 feet. How far below or above the deck is the coaster after the completion of the two hills?
Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 )  feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

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Plz help me I’ll make brainliest
arlik [135]

Answer:

m=4 because 2 times 4 is 8 and n= 8 because 2 times 8 is 16

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g
cricket20 [7]

Answer:

a) r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

b) m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=9 \sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141  

r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=51-\frac{18^2}{9}=15  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90  

And the slope would be:  

m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0
3 years ago
Solve each equation. Explain your method.8.88=4.44(x−7)
omeli [17]
  • 8.88=4.44(x−7)

write the equation

  • 8.88 - 4.44=(x−7)

Transfer 4.44 to other side and it's sign changes from positive to negative

  • 4.44=(x−7)

After subtracting we will get result as 4.44

  • (x−7) = 4.44

Arrange the equation as variable always comes at left side.

  • x−7 = 4.44

open brakets

  • x = 4.44 + 7

transfer 7 to other side and it changes from - to + sign

  • x = 11.44
8 0
3 years ago
Read 2 more answers
How do you find the slope using a graph
kicyunya [14]
The y intercept is seven so you would start by placing a point on (0,7). Then you count Down four points because the slope is a negative number and then count nine points to the right. You would have to keep counting down four points and the right nine points until your line was long enough.
8 0
4 years ago
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Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
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