MATHEMATICS HIGH SCHOOL

What is the MAD of the data set?

{5, 12, 1, 6, 11}

Answers

Answer 1
Answer: So we want to find the MAD of the data set {5,12,1,6,11}. To do that first we need to find the mean value X. X=(5+12+1+6+11)/5=35/5=7. Now we have to find the distance d from the mean value for every number in the data set: d1=7-5=2, d2=12-7=5, d3=7-1=6, d4=7-6=1, d5=11-7=4. Now we can find the MAD: MAD=(2+5+6+1+4)/5=18/5=3.6
Answer 2
Answer:

Answer:

3.6

Step-by-step explanation:

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What is the y-intercept of the line?

y= -2x - 8

y-intercept =

Answers

Like I said on the other question. Slope will ALWAYS be the number beside x and y-intercept will always be after that.

Slope-intercept form = y = mx + b

Slope goes where m is and y-intercept goes where b is.

Hope this helps!

Answer:

-8

Step-by-step explanation:

2. Solve for x. SHOW YOUR WORK.

Answers

Answer:

x=9

Step-by-step explanation:

The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.

4x+2=7x-25\n2=3x-25\n3x=27\nx=9

First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.

What is the next term in this geometric sequence
5/6,5/9,10/27,20/81

Answers

a_1=(5)/(6);\ a_2=(5)/(9);\ a_3=(10)/(27);\ a_4=(20)/(81)\n\n\nq=a_2:a_1\n\nq=(5)/(9):(5)/(6)=(5)/(9)\cdot(6)/(5)=(2)/(3)\n\n\na_5=a_4\cdot q\n\na_5=(20)/(81)\cdot(2)/(3)=(40)/(243)\to answer
(20/81) * (2/3) = 40/243;

the next term in this geometric sequence is 40/243.

Subtract and simplify: (y^2-7y-5) - (-3y^2+3y-4)

Answers

(y^2-7y-5) - (-3y^2+3y-4)
= 4y^2 - 10y - 1

All insurance is based on a principle called A. division of risk.
B. investment premiums.
C. cash value coverage.
D. premium earnings.

Answers

option a. division risk

Division risk provides administrative support, including the cash management, calculation of casualty and property premiums for customers, monitoring contracts and providing data management and IT support.

If dy/dx=1/x, then the average rate of change of y with respect to x on the closed interval [1, 4] is a) -1/4
b) (1/2)*ln(2)
c) (2/3)*ln(2)
d) 2/5
e) 2

Answers

The first thing to do here is to integrate the ordinary differential equation dy/dx = 1/x. This is equal to  y = ln x + C. Assuming C is zero. y = lnx. substituting the two interval, 
y1 = 0 y2 = ln 4
the rate of change then is equal to (ln4 - 0) / (4-1) equal to 2/3 ln 2. Answer is C
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