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2 years ago

Can someone please answer this!!

Mathematics

1 answer:

photoshop1234 [79]2 years ago

5 0

Answer:

To find the area you multiply base times height

Step-by-step explanation:

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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

How do I find the inverse of the function? Also, is it a function and why?

yaroslaw [1]

Answer:

Step-by-step explanation:

Essentially, begin by flipping the x and y terms:

x = (1 - 2y)^2 + 5

Then, solve for y:

$\ x = (1-2y)^2 + 5\\\sqrt{x-5} = 1 - 2y\\\sqrt{x-5} - 1 = 2y\\\frac{\sqrt{x-5} - 1}{2} = y^-1\\$

Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.

4 0

3 years ago

A cylindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that is

likoan [24]

Answer:

Radius of large cylinder $= 10.39 feet\\$

Step-by-step explanation:

Volume of the larger tank is three times the volume of smaller tank

Volume of smaller tank

$= \pi r^{2} h\\= (3.14) * 6^{2} * 20\\= 2260.8 ft^{3} \\$

Volume of larger tank

$= 3 * 2260.8 ft^3\\= 6782.4 ft^3\\$

Or it can also be written as

$\pi r^{2} h = 6782.4 ft^3\\(3.14) * ( r^2) 20 = 6782.4 ft^3\\r^2 = 108\\r = 10.39$

6 0

3 years ago

Please help I will mark as brianliest

shutvik [7]

Answer:

x = -4

Step-by-step explanation:

-5x-4x-2 = -8x+2 is the only one with a solution.

-5x-4x-2 = -8x+2

-x-2 = 2

-x = 4

x = -4

8 0

2 years ago

HELP HELP HELP ME YOU'LL GET 50+ BRAINLIEST POINTS PLEASE HELP ME PLEASE PLEASE ANSWER CORRECTLY PLEASE

yaroslaw [1]

The answer is 9.5 ( rounded, answer is 9.486833)

3 0

2 years ago