The dot plot below shows how many laps each student in Coach Toni's gym class ran one day.What is the mean absolute deviation of the data set shown?
A. 30
B. 12.5
C. 5
D. 7
spilliasm avatar

Answers

Answer 1
Answer: \underbrace{5;5;5;5;10;10;15;15;20;35}_(10)\n\n5\cdot4+10\cdot2+15\cdot2+20+35=125\n\n(125)/(10)=12.5\leftarrow\boxed{B}
Answer 2
Answer: 12.5 because you add up all of the number of laps. Then you divide that from how laps there were.

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If x = 9 and y = -2 what’s 10 + 5xy

Answers

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

             = 10 - 90

             = -80

Multiply and simplify: y(2x+3y)(2x+3y)

Answers

Simplifying y(2x + 3y)(2x + 3y)

Multiply (2x + 3y) * (2x + 3y) y(2x * (2x + 3y) + 3y * (2x + 3y)) y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))
 
Reorder the terms: y((6xy + 4x2) + 3y * (2x + 3y)) y((6xy + 4x2) + 3y * (2x + 3y)) y(6xy + 4x2 + (2x * 3y + 3y * 3y)) y(6xy + 4x2 + (6xy + 9y2))

Reorder the terms: y(6xy + 6xy + 4x2 + 9y2)
 
Combine like terms: 6xy + 6xy = 12xy y(12xy + 4x2 + 9y2) (12xy * y + 4x2 * y + 9y2 * y) (12xy2 + 4x2y + 9y3)
2xy+3y^2*2xy+3y^2
3y^2 * 3y^2

Order from least to greatest ---- -2.15 17/7 2.7 -2.105

Answers

In order from least to greatest ---- -2.15, -2.105, 17/7, 2.7 

What is 15 liters increased by 60%

Answers

100%=15
increae by 60%
100+60=160
160% of 15
15 times 1.60=24

24 liters

Which of the following shows the sum of the polynomials −3x2+3y2+4x and 4x2−4y+2? A. −3x2+3y2+4x+4x2−4y+2 B. −x2+3y2+4x−4y+2 C. x2+3y2+4x−4y+2 D. 7x2+3y2+4x+4x2−4y+2

Answers

D. 7x2+3y2+4x+4x2−4y+2 is your correct answer

-3x² + 3y² + 4x  + 4x² - 4y + 2

Add like terms.

x² + 3y² + 4x - 4y + 2

So the answer is D.

What are these fractions in simplest form? ( when I do a / it means a "fraction bar" or " over" like 16/30 or 16 over 30, just incase any of you get confused) but if you could help me simplify these that would be great!!

16y3/20y4 (that's a y to the third power for sixteen and a y to the fourth power for twenty)

6xy/16y

Abc/10abc

Mn2/pm5n (that's an n to the second power for nm and a m to the fifth power on pmn)

12h3k/16h2k2 ( that's a h to the third power for 12hk and a h to the second power and k to the second power for 16hk

8x/10y

24n2/28n ( that's a n to the second power)

30hxy/54kxy

5jh/15jh3 (that's a h to the third power for 15jh)

20s2t3/16st5 ( that's a a to the second power and t to the third power for 20st and t to the fifth power for 16st)

Answers

(16y^(3))/(20y^(4)) =  (4)/(5y)
(6xy)/(16y) =  (3x)/(8)
(abc)/(10abc) =  (1)/(10)
(mn^(2))/(pm^(5)n) =  (n)/(pm^(4))
(12h^(3)k)/(16h^(2)k^(2)) =  (3h)/(4k)
(8x)/(10y) =  (4x)/(5y)
(24n^(2))/(28n) =  (6n)/(7)
(30hxy)/(54kxy)  =  (5h)/(9k)
(5jh)/(15jh^(3)) =  (1)/(3h^(2))
(20s^(2)t^(3))/(16st^(5)) =  (5s)/(4t^(2))
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