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3 years ago

Help me asap

Mathematics

1 answer:

Sladkaya [172]3 years ago

3 0

Answer:

12x = 84

Step-by-step explanation:

$7 = \frac{84}{12}$

I am joyous to assist you anytime.

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A triangle with sides of lengths 16, 30, and 35 is a right triangle. O A. True O B. False

Afina-wow [57]

Answer:

B false

Step-by-step explanation:

The Theorem states that for a right triangle,

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the two shorter sides.

So does our given lengths work? Let's see:

16^2+30^2=35^2

256+900=1225

1156=1225

1156≠1225

And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.

6 0

3 years ago

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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

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3 years ago

HELP ASAP!!!! Given (x, y ) = (5, 15). Find tan θ.

Darina [25.2K]

tan θ is defined as the opposite/adjacent side to the angle in a triangle

in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with θ at (0,0)

-> your x coordinate is the adjacent side, and y the opposite

tan θ=opposite/adjacent=y/x=15/5=3

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3 years ago

Is 0.75 greater than 0.100?

Naya [18.7K]

Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one

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3 years ago

a football gains 8 yards on their first play. they lose 12 yards on the next play.. which integers represent the two plays?

9966 [12]

8 yards - 12 yards = - 4

The integer is -4

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3 years ago

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