What is the absolute deviation for the numbers: 112,145,108,160,122

Answers

Answer 1

Answer: Absolute deviation is 92.40

Rearrange numbers from least to greatest to avoid confusion.
108, 112, 122, 145, 160

Mean = (108 + 112 + 122 + 145 + 160) / 5
= 647 / 5
= 129.40

Absolute deviation : (number - mean)

*absolute means that a number is always treated as a positive number contrary to its actual value

  108 - 129.40 =   21.40
  112 - 129.40 =   17.40
122 - 129.40 =     7.40
  145 - 129.40 = 15.60
  160 - 129.40 = 30.60
total absolute deviation 92.40

Mean absolute deviation = 92.40 / 5 = 18.48

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Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4 feet, 2 inches. Should Clare's or the doctor's measurement be considered the actual height? Explain your reasoning. What was the error, expressed in inches? What was the error, expressed as a percentage of the actual height?

Factorise: a squared -9a + 20? What are all the steps?

Answers

First, factorise the quadratic equation a^2 - 9a+ 20Find two numbers which add up to 9 and multiply to give 20. These numbers are 4 and 5.(a - 4) (a - 5)
Does that make sense?

a² - 9a + 20

Factorization!

The sum is: -9
and the product is: 20

Since the sum is negative, the numbers that gave the outcome will be negative because the product is positive as well.

What and what adds to gives us -9?
What and what multiplies to give us 20?
-10 + 1 gives us -9
But the product will be -10 × 1 = -10 (its incorrect)

-4 - 5 = -9
(-4) × (-5) = 20

These satisfy both the sum and the product.

The expression will be:
(a - 4)(a - 5)

Write the equation of the line parallel to the given line and passing through the given point. y=6 through (3,4)

Answers

If the given line's equation is y = 6, then it is a horizontal line. Therefore, the parallel line must also be horizontal, and pass through (3, 4). In order for the line to pass through (3, 4), the y needs to be at 4, so the equation of the parallel line would be y = 4.

Hope this helps! :)

. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line?

Answers

Answer: The referee was 29.125 yards from the nearest goal line.

Step-by-step explanation:

Since we have given that

Length of line = 100 yards

Let the x be the distance at the end of quarter nearest goal line .

According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.

So, it becomes,

$100-2x=41(3)/(4)\n\n100-2x=(167)/(4)\n\n-2x=(167)/(4)-100\n\n-2x=(167-400)/(4)\n\n-2x=-(233)/(4)\n\nx=(233)/(4* 2)\n\nx=(233)/(8)\n\nx=29.125\ yard$

Hence, the referee was 29.125 yards from the nearest goal line.

100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2

A doctor ran 55 hours the mom ran 52 hours what was the total

Answers

This is I suppose basic addition. Addition is a mathematical process of combining or joining something to something else. The word "total" indicates that the addition will be used. If the doctor ran for 55 hours and the mom for 52 hours, by using the addition it will be:
55
+ 52
______

107 hours in total.

107 hours converted in days will be 4 days and 4 hours. SInce 1 day contains 24 hours you now divide 107 hours by 24 hours to get its equivalent to days.

107 because 55 + 52 = 107

Expression for: Triple 3 and then add double 8

Answers

(3x3)+(8x2)
x is a multiplication sign

Simplify:-4(w + 1) + 5w
A. -9w + 4
B. -9w – 4
C. w + 4
D. w – 4

Answers

Answer:

Step-by-step explanation:

D. W - 4

Answer:

The answer is D. W-4

Step-by-step explanation:

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