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mr Goodwill [35]
4 years ago
13

Stefano calculated the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24. His work is shown below.

Mathematics
2 answers:
Ganezh [65]4 years ago
6 0

Answer:

Stefano should have divided by 6 when finding the mean absolute deviation

Step-by-step explanation:

took the test

puteri [66]4 years ago
5 0

Answer:

To find the mean, you add all the numbers together and then divide by the number of numbers (6).

4 + 12 + 20 + 24 + 32 + 40 =  132

132/6 = 22

To find the mean absolute deviation, you will find the distance between each number and the mean and then divide this by 6 as well.

(22-4) +(22-12)+(22-20)+(24-22)+(32-22)+(40-22)

18 + 10 + 2 + 2 + 10 + 18 = 60

60/6 = 10

The mean absolute deviation is 10.

The correct answer is that Stefano should have divided by 6 when finding the mean absolute deviation.

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Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? e
DiKsa [7]

9514 1404 393

Answer:

  Jesse

Step-by-step explanation:

Jesse's distance in 60 seconds would be ...

  (60 s)(15 m)/(6 s) = 150 m

Peyton's distance in 60 seconds would be ...

  (60 s)(22 m)/(10 s) = 132 m

Jesse travels farther in the same amount of time, so Jesse is moving faster.

__

You might find it simpler just to compute the rate of each.

  Jesse: (15 m)/(6 s) = 2.5 m/s

  Peyton: (22 m)/(10 s) = 2.2 m/s

Jesse's speed is higher.

4 0
3 years ago
Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic un
Masteriza [31]
Height is 1 1/24 unit.

Given:
volume = 5/24 unit³
base area = 1/5 unit²

Rectangular prism:
volume = length * width * height
base area = length * width

Volume = base area * height

height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = <span>1 1/24 unit</span>
5 0
3 years ago
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
4 years ago
John’s teacher wants to buy giant cookies for the entire class of cookies cost $2.40 each write an equation that shows how many
krek1111 [17]
40 ÷ 2.40= 16.66
the teacher can buy 16 cookies
4 0
3 years ago
Use the equation n= b-4 to find the value of n when b=9
Valentin [98]

Put 9 in for b

N=9-4

N=5

6 0
3 years ago
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