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12345 [234]
4 years ago
14

Carter got the following scores on science tests: 90, 82, 88, 78, 93 What is the mean absolute deviation? A. 4.96 B. 12.00 C. 86

.20 D. 88.00.

Mathematics
1 answer:
Serga [27]4 years ago
4 0
You would add up all the scores and divided by how many divers there are
90+82+88+78+93= 431
Divide by 5
86.20 is ur answer

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How do you solve this equation: -2m+3=|15+m|
Elden [556K]

Any number inside the modulus sign becomes positive. This means |15+m|=|-(15+m)|=|-15-m| and so we have,

-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right

Solving these gives us

-2m+3=15+m \Rightarrow m=-4

-2m+3=-15-m \Rightarrow = m=18

However if we check the second solution in the original equation we obtain -2(18)+3=|15+18| \Rightarrow -33=33. This is false and so m=18 can't be a solution.

Therefore the only solution is m=-4.

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0
3 years ago
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
What is radius???????
xz_007 [3.2K]

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.

Solve for the radius.

Plug the area into the formula.

Divide the area by.

Take the square root.

8 0
3 years ago
Use synthetic division to find the quotient of (44 + 22 − 4 + 12) ÷ ( + 2). Show your work for full credit.
valina [46]
Just remember BODMAS, which B= brackets O= Order D= Division M= Multiply A=Addition and S=Subtract

So first you solve the brackets so 44+22 is 66

So 66-4+12 so 66-4 is 62

62+12 is 74

So now you have got 74 divided by 2 which is 37

Hope this helps xx
5 0
3 years ago
What answer do i need to put in the boxes
scoundrel [369]
Y-65=3(x-49) 3 is time 49 is crushed
5 0
3 years ago
Read 2 more answers
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