The data set represents the most recent sale price, in thousands of dollars, of ten homes on a street.85 91 93 99 99 99 102 108 110 115
What is the MAD?

Group of answer choices

6.92 (in thousands of dollars) or $6,920

7.84 (in thousands of dollars) or $7,840

4.35 (in thousands of dollars) or $4,350

8.96 (in thousands of dollars) or $8,960

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To calculate the Mean Absolute Deviation (MAD) for a set of data, follow these steps:

1. Find the mean (average) of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is:

85 + 91 + 93 + 99 + 99 + 99 + 102 + 108 + 110 + 115 = 1001

Dividing 1001 by 10 (the number of values) gives us the mean:

1001 / 10 = 100.1

2. Subtract the mean from each value in the data set and take the absolute value of the result. This gives us the deviation of each value from the mean. For example, the deviation of the first value (85) from the mean (100.1) is:

|85 - 100.1| = 15.1

Repeat this step for all the values in the data set.

3. Calculate the average of these deviations to find the Mean Absolute Deviation. Add up all the deviations and divide by the total number of values. In this case, the sum of the deviations is:

15.1 + 8.9 + 6.9 + 0.9 + 0.9 + 0.9 + 1.9 + 7.9 + 9.9 + 14.9 = 77.1

Dividing 77.1 by 10 (the number of values) gives us the Mean Absolute Deviation:

77.1 / 10 = 7.71

Therefore, the correct answer is not listed among the given options. The MAD for the given data set is approximately 7.71 (in thousands of dollars) or $7,710.

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The equation of a line a is given by 3y=x+12- Find line b that is parallel to line a and passes through the point (6, -8)

Answers

Answer is x-3y=-12. Get Photomath it’s app

What is the answer to 4(x + -7) +12=20

Answers

    4(x - 7) + 12 = 20
4(x) - 4(7) + 12 = 20
   4x - 28 + 12 = 20
   4x - 16 = 20
   + 16 + 16
   4x = 36
      4 4
   x = 9

X=9You ise the distribution property and get 4x-28+12=20. Combine the like terms amd you get 4x -16=20. Add 166 to both sides and you get 4x =36. Divide by four and you get x=9

Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.y = 1/6x - 5/2
y = 2/5x - 6
y = 6x - 2/5
y = 5/2x - 6

Answers

in ax+by=c form
slope=-a/b

y intercept is when x=0

sloope of 2x-5y=12 is -2/-5=2/5

y intercept of 4y+24=5x
4y+24=5(0)
4y+24=0
4y=-24
y=-6
y int=-6

y=mx+b
m=slope
b=y intercept
y=2/5x-6

answer is 2nd optoin

Square root of 4+2 root 3

Answers

$(a+b)^2=a^2+2ab+b^2\ \ \ (*)\n\n\n√(4+2\sqrt3)=√(3+2\sqrt3+1)=\sqrt{\underbrace{(\sqrt3)^2+2\cdot\sqrt3\cdot1+1^2}_((*))}\n\n=√((\sqrt3+1)^2)=|\sqrt3+1|=\sqrt3+1$

$(a+b)^2=a^2+2\cdot a\cdot b+b^2\n \n4+2 √(3)=1^2+2\cdot1\cdot √(3)+ √(3) ^2\ \ \ \Rightarrow\ \ \ a=1\ \ \ \wedge\ \ \ b= √(3) \n \n4+2 √(3) =(1+ √(3) )^2\n \n \sqrt{4+2 √(3)} = \sqrt{(1+ √(3) )^2} =|1+ √(3) |=1+ √(3)$

ind the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

we have that
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2)
y - 3x = – 8-----> y=3x-8------> the slope m=3

we know that
if two lines are perpendicular
then
m1*m2=-1
m1=3
so
m2=-1/3

with m=-1/3 and point (3, 2) find the equation of the line
y=mx+b
2=(-1/3)*3+b------> 2=-1+b-----> b=3

the equation of the line is
y=(-1/3)x+3

the answer is
y=(-1/3)x+3

see the attached figure

How to simplify rational expressions?

Answers

Steps to simplify rational expressions. 4) If possible, look for other factors that are common to the numerator and denominator. In our example, we can use foil in reverse to factor an (x − 1) in the denominator and further cancel this binomial from both the numerator and the denominator.

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