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3 years ago

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A football coach recorded his team's game scores over a football seasons. The scores are 21,45,21,14,21,28,24,14,24,28. A) Find

the mean absolute deviation of the data. Round to the nearest tenth. B) Interpret the mean absolute deviation of the data within the context of the problem. C) Explain how removing the outlier, 45, affects the mean absolute deviation.

1 answer:

alexandr402 [8]3 years ago

3 0

Answer:

A.) MAD 5.8

Step-by-step explanation:

21+45+21+14+21+28+24+14+24+28= 220. 220/10=22 mean. Take each number in set and add or subtract each number by 22.

1+23+1+8+1+6+2+8+2+6=58/10=5.8 mad

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A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t

inna [77]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

<em>The linear equation of the function is: </em> $g(P) =22.9P +7$ <em>, while its inverse is: </em> $g^{-1}(c) = \frac{c - 7}{22.9}$ <em>.</em>
<em>The domain is from 0% to 100%, while the range is from 7 to 29.9</em>

<em />

Given that:

$c = g(P)$

<u>Input and Output quantity</u>

The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>

<u>Linear Function</u>

The given parameters can be written as:

$(P_1,c_1) = (20\%, 11.58)$

$(P_2,c_2) = (80\%, 25.32)$

Calculate the slope (m)

$m = \frac{c_2 - c_1}{P_2 - P_1}$

So, we have:

$m = \frac{25.32 - 11.58}{80\% - 20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The equation is then calculated using:

$c =m(P - p_1) + c_1$

So, we have:

$c =22.9(P - 20\%) + 11.58$

$c =22.9P - 4.58 + 11.58$

$c =22.9P +7$

So, the function is:

$g(P) =22.9P +7$

<u>The domain and the range</u>

The domain is the <em>possible input value (i.e. possible values of P).</em>

Because P is a percentage, its possible values are 0% to 100%.

Hence, the domain of the function is: $[0\%,100\%]$

The range is the <em>possible output value (i.e. possible values of c).</em>

When P = 0% and 100%

$c = 22.9 \times 0\% + 7 = 7$

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

<u>The meaning of </u> $g^{-1}(12)$ <u />

$g^{-1}(12)$ is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>

So, $g^{-1}(12)$ represents the percentage of frozen citrus crop, when the cost is $12.

<u>The inverse formula</u>

We have:

$c =22.9P +7$

Make P the subject

$22.9P = c - 7$

Divide by 22.9

$P = \frac{c - 7}{22.9}$

So, the inverse function is:

$g^{-1}(c) = \frac{c - 7}{22.9}$

<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>

<em />

$g^{-1}(c) = \frac{c - 7}{22.9}$

Substitute 12 for c

$g^{-1}(12) = \frac{12 - 7}{22.9}$

$g^{-1}(12) = \frac{5}{22.9}$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

4 0

3 years ago

If f(x)=3^2+10x and g(x)=5x-1 find (f-g) (x)

slamgirl [31]

Answer:

5x+8

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.

7 0

3 years ago

PLEASE HELP ME WITH THIS!! I WILL GIVE EXTRA POINTS,AND BRAINLIST IF YOU ANSWER THIS CORRECTY!!

AURORKA [14]

Answer:B

Step-by-step explanation:

99+59=158

99-59=40

5 0

3 years ago

Read 2 more answers

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4) what is the range?

Mariana [72]

Answer:

{(0, 5), (-16, -1), (12, 4)}

Step-by-step explanation:

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values

For the coordinate (0,5);

f(0, 5) = (-2(0), 5)

f(0, 5) = (0, 5)

For the coordinate (8, -1);

f(8, -1) = (-2(8), -1)

f(8, -1) = (-16, -1)

For the coordinate (-6, 4);

f(-6, 4) = (-2(-6), 4)

f(0, 5) = (12, 4)

Hence the range is {(0, 5), (-16, -1), (12, 4)}

5 0

3 years ago

A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE

AfilCa [17]

Answer:

disagree because x should equal one

x=1

Step-by-step explanation:

5x times 4 =20

divide both sides by 5 times 4

x=1

7 0

3 years ago