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Jlenok [28]
3 years ago
10

Can someone explain how to do this? i know the answer but i don't know how to work it out. Find the absolute mean deviation for

the set {x, 2x, 3x, 4x}.
Mathematics
1 answer:
harina [27]3 years ago
6 0

Step-by-step explanation:

The mean absolute deviation is:

MAD = ∑ᵢ₌₁ⁿ│xᵢ − μ│/ n

First, find the mean.

μ = (x + 2x + 3x + 4x) / 4

μ = 2.5x

Now find the mean absolute deviation:

MAD = (│x − 2.5x│+│2x − 2.5x│+│3x − 2.5x│+│4x − 2.5x│) / 4

MAD = (│-1.5x│+│-0.5x│+│0.5x│+│1.5x│) / 4

MAD = (1.5x + 0.5x + 0.5x + 1.5x) / 4

MAD = (4x) / 4

MAD = x

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A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and
Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0
3 years ago
what is the correct upper and lower control limits for 8.42 pounds and the accectable range for plus or minus .65 pounds
sweet [91]

Answer:

9.07 and 7.77 respectively.

Step-by-step explanation:

To determine the upper control limit, add 0.65 lb to 8.42 lb, obtaining 9.07 lb.

To determine the lower one, subtract 0.65 lb from 8.42 lb, obtaining 7.77 lb.

7 0
3 years ago
Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10
Shkiper50 [21]

Answer:

y=3/2x+5

The slope is 3/2 and the y-intercept is 5

Step-by-step explanation:

Solving for y will give us the slope and y-intercept

Isolate y

2y/2=10+3x/2

y=5+3/2x

The slope is 3/2 and the y-intercept is 5

Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points

7 0
3 years ago
Original price: $92 <br> Discount: 10% <br> Sale price: ?
qwelly [4]

Answer: $ 82

Step-by-step explanation:

92 - 10 = 82

7 0
3 years ago
Read 2 more answers
Answer to the question
netineya [11]
Well first off, you need to add 25.50+15.30+9.25 which equals 50.05 then you would subtract that from 72 so 72-50.5 which gets your answer of 21.95 centimeters
8 0
3 years ago
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