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AysviL [449]
3 years ago
6

Exercise 59 use the table to evaluate the given expressions

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:  f(0) = 5.5     f(2) = 3.7

<u>Step-by-step explanation:</u>

\begin {array}{c|c|c|c|c|c}x&0&1&2&3&4\\ f(x)&5.5&4.3&3.7&2.5&1.9\\\end{array}


When x = 0, f(x) = 5.5   <em>In other words, f(0) = 5.5</em>

When x = 2, f(x) = 3.7   <em>In other words, f(2) = 3.7</em>

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What is the measure of the highlighted angle?
KatRina [158]

Answer:

130

Step-by-step explanation:

The two angles with measurements are vertical angles and vertical angles are equal

12x-2 = 10x+20

Subtract 10x from each side

12x-10x -2 =10x-10x+20

2x-2 = 20

Add 2 to each side

2x-2+2 =20+2

2x= 22

Divide each side by 2

2x/2 =22/2

x =11

We want to find 2x-2

12(11)-2

132-2

130

5 0
3 years ago
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
Please solve in the next 10 minutes pleaseeee
Alex787 [66]

Answer:

43.82 mph

266.67 feet

Step-by-step explanation:

Given :

S = √30fl

S = speed of car

f = drag Coefficient

l = Length of skid mark

If f = 0.8 ; l = 80 feets

s = √30fl

s = √(30*0.8*80)

s = √1920

s = 43.817

s = 43.82 mph

B.)

s = 80 mph

f = 0.8

s = √30fl

80 = √30*0.8*l

80 = √24l

Square both sides

80² = 24l

6400 = 24l

l = 6400/24

l = 266.67 feets

6 0
2 years ago
How to calulate what percentage a number is of a larger number
Tju [1.3M]

Answer: you just multiply the big by the percentage. But change the percentage to a decimal. There only two operating when dealing with percentage. Add or subtract. Once you multiply the percentage with big number add or subtract the answers with the big number.

Step-by-step explanation:

8 0
3 years ago
0.00432 km = _____ mm
navik [9.2K]
Your answer is 4320 Milimeters :)
6 0
3 years ago
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