A student found the MAD of the data shown. What was the student’s error?

A.When calculating the mean, the student divided the sum by the wrong number.

B.When calculating the MAD, the student divided the sum by the wrong number.

C.When calculating the distances to the mean, the student forgot to take the absolute values.

D.When calculating the MAD, the student forgot to take the absolute value of the result.

Answers

Answer 1

The error made while find the mean absolute deviation was: C. When calculating the distances to the mean, the student forgot to take the absolute values.

What is the Mean Absolute Deviation?

The mean absolute deviation is simply the average of the sum of the "absolute difference" of the mean and each data point.

In the calculation of the student, after getting the difference of the mean and each data point, the student failed to take the absolute value, and still kept the minus sign included.

Therefore, the error was: C. When calculating the distances to the mean, the student forgot to take the absolute values.

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Related Questions

A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.

Answers

The width of the box is 3 ft that can be produced using the minimum amount of material.

What are the volume and surface area of a box?

Consider a box with length 'l', width 'w' and height 'h',

Volume V = l × w × h

Surface area S = 2(lw + wh + hl)

Calculation:

It is given that,

Volume of the box V = 36 cubic feet and l = 2w

Using the formulae,

V = 2w × w × h = 2w²h ...(1)

S = (2w² + 2wh + 4wh) = 2w² + 6wh ... (2) (here only single lw is considered since it is open top)

From equation (1),

36 = 2w²h

⇒ w²h = 18

⇒ h =18/w²

equation (2) becomes

S = 2w² + 6w(18/w²) = 2w² + 108/w ...(3)

So, for a minimum amount of material, the width of the box is,

On differentiating the surface area w.r.t 'w'

S' = 4w - 108/w²

For a minimum amount, substituting S' = 0 we get,

0 = 4w - 108/w²

⇒ 4w = 108/w²

⇒ 4w³ = 108

⇒ w³ = 27

∴ w = 3 feet

Therefore, the width of the given box is 3 feet.

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Hi, can you help me with this math problem?

The equation of a hyperbola is shown.
[tex]\frac{(y-7)^2}{3}-\frac{(x+13)^2}{12}=1[/tex]

Determine the area of the central rectangle.

Answers

Answer:

Step-by-step explanation:

The semi-axis lengths are 'a' and 'b' in the equation ...

(y -k)²/a² -(x -h)²/b² = 1

Area

The area of the central rectangle will be ...

A = LW

The axis lengths are 2a and 2b, so the area is ...

A = (2a)(2b) = 4ab

In terms of the numbers in the given equation, this is ...

A = 4√(a²b²) = 4√(3×12)

A = 4×6 = 24

The area of the central rectangle is 24 square units.

how many 2/7 are in 150

Answers

How many 2/7 are in 150 ?

= Their are 525.

I HOPE IT HELP YOU

There are 525 number of fraction 2/7 in number 150.

What is fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator.

Given,

fraction = 2/7

Given number = 150

Number of 2/7 in 150

= 150 ÷ 2/7

= 150 × 7/2

= 1050/2

= 525

Hence, 525 is the number of fraction 2/7 in number 150.

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nevan typed 110 words in 2 2/4 minutes. at this rate.how many words can he
type in 4 1/4

Answers

Answer:

ther will be 240 words in 4 1/4

Answer:

187 words.

Step-by-step explanation:

His rate of typing = 110 / 2 2/4

= 110 / 2.5

= 44 words / minute.

So in 4 1/4 minutes he will type

44 * 4 1/4

= 176 + 11

= 187 words.

I was born on saturday. got marries the 10,000 day of my life. what day of the week is it?

Answers

Answer:

Tuesday

Step-by-step explanation:

Days of the week repeat every seven days, so Saturday is day (1+7n) for some integer n.

Number of weeks

The value of n that makes the day number just under 10,000 is ...

1 +7n ≤ 10000

7n ≤ 9999

n ≤ 1428 3/7

Day of the week

So, Day 1 +1428·7 = 9997 is Saturday. Day 10,000 is 3 days later. That makes Day 10,000 a Tuesday.

Additional comment

1428 weeks is about 27.5 years. You got married at age 27.

what is the rule for the following sequence:

-1; -4; -9; -16; -25

Answers

Answer:

It´s an exponential rule. where one of the factors is negative

Step-by-step explanation:

1 * -1 = -1

2 * -2 = -4

3 * -3 = -9

4 * -4 = -16

5 * -5 = -25

these box plots show the basketball scores for two teams.

Answers

The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

What is a box plot ?

A box plot is used to study the distribution and level of a set of scores. On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

A box plot is symmetric when the median is at the center of the box and negatively skewed if the median is closer to the upper quartile.

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The last time troy checked, his dog weighed 60 kilograms. troy just measured his dog again and found out that it weighs 5% less now. how much does the dog weigh now?

Answers

Answer:

57 kg

Step-by-step explanation:

5% less means it weighs 95% of what it used to weigh

95% is .95 in decimal

.95 * 60 = 57 kg

Round your answer to the nearest percent.

Answers

Answer:

Step-by-step explanation:

Givens

Number not using given app = 71

Total number of students = 219

% = ?

Solution

P(~given app) = 71 / 219

P(~given app) = 0.324

% = 0.324 * 100 = 32.4%

Answer

32.4% do not use Given App

Comparing Ratios Using Fractions
Compare 4:10 and 12:20 using fractions. Which ratio is
smaller? How do you know?

Answers

Answer:

4:10

Step-by-step explanation:

4:10 = 4/10 = 2/5

12:20 = 12/20 = 6/10 = 3/5.

So 4:10 is smaller than 12:20 because 2/5 is less than 3/5.

Answer:

4:10

Step-by-step explanation:

First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller.

You are flying a kite in a competition and the length of the string is 725 feet and the angle at which the kite is flying mesures 35” with the ground. How high is your kite flying?

Answers

The kite is flying 415.84 feet from the ground

How to determine the height?

The given parameters are:

Length of the string, L = 725 feetAngle, x = 35 degrees

Let the height be h.

So, we have the following sine function

sin(x) = h/L

Make h the subject

h = L * sin(x)

This gives

h = 725 * sin(35)

Evaluate

h = 415.84

Hence, the kite is flying 415.84 feet from the ground

Answers

1. The TRUE statement about the graph, which is represented here by the data table, is D. The average salary increased by some irregular amount each year.

2. The average salary per year between 2001 and 2006 is $3,600?

What is an average?

An average number is the mean of a total value.

The average is computed as the total value of observations divided by the number of observations.

Data for the graph and Calculations:

Year Salary

2001 $1,500

2002 2,600

2003 3,200

2004 4,100

2005 5,000

2006 5,200

Total $21,600

Average = $3,600 ($21,600/6)

Thus, the graph or the data table shows that D. The average salary increased by some irregular amount each year.

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Question Completion:

1. Option D: The average salary increased by some regular amount each year.

2, What is the average salary per year between 2001 and 2006?

Answer: C-The average salary increased by the same amount each year.

NEXT ANSWER-B

Step-by-step explanation:

11. Write four solutions for each of the following equation: (i)7x + 2y = 9 (ii) 2x = -5y

Answers

The solutions of the equations are (0,4.5), (1, 1), (2, -2.5) & (3, -6) and (0,0), (1, -0.4), (2, -0.8) & (3, -1.2)

How to determine the solutions?

Equation 1

7x + 2y = 9

Make y the subject

2y = 9- 7x

Divide by 2

y = 4.5 - 3.5x

Let x = 0, 1, 2 and 3

y = 4.5 - 3.5 * 0 = 4.5

y = 4.5 - 3.5 * 1 = 1

y = 4.5 - 3.5 * 2 = -2.5

y = 4.5 - 3.5 * 3 = -6

Hence, the solutions of the equation are (0,4.5), (1, 1), (2, -2.5) and (3, -6)

Equation 2

2x = -5y

Make y the subject

y = -0.4x

Let x = 0, 1, 2 and 3

y = -0.4 * 0 = 0

y = -0.4 * 1 = -0.4

y = -0.4 * 2 = -0.8

y = -0.4 * 3 = -1.2

Hence, the solutions of the equation are (0,0), (1, -0.4), (2, -0.8) and (3, -1.2)

Answers

Answer:

(8, -9)

Step-by-step explanation:

Hope this helps:)

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

According to the question,

The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).

Hence, the new coordinates is (8,-9).

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Shannon wants to make snack bags that contain an equal amount of three different types of nuts. If she has 26
almonds, 78 pecans, and 52 peanuts, what will be the most number of bags she can have?

Answers

Answer is 26 bags
Step by step
First find the least common multiple (LCM) of the 3 nuts. First I checked to see if 26 was a multiple of 78 and 52, yes it is! 26 is the LCM.
26/26 = 1 almond per bag
52/26 = 2 peanuts per bag
78/26 = 3 pecans per bag.
So all 26 bags will contain 1 almond, 2 peanuts and 3 pecans.
Problem solved. Not a very big snack bag in my opinion.

Solve for X. Please solve this.

Answers

Answer:

Step-by-step explanation:

Opposite angles are congruent, so Angle BAC is 58 degrees.

Line KL and FG are perpendicular (forms a 90 degree angle), so Angle ABC is 90 degrees.

Points ABC form a triangle, and the interior angles of a triangle must add up to 180 degrees.

Thus, 58 + 90 + Angle BCA = 180. Solving for BCA, we get 32 degrees. Since Angle GCJ is opposite to BCA, x is 32 degrees.

The graph of a sinusoidal function intersects its midline at (0,−3)and then has a maximum point at (2,-1.5). Write the formula of the function, where x is entered in radians. f(x)= Please answer fast

Answers

The sinusoidal function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

How to derive a sinusoidal function

In this question we must derive a sinusoidal function based on two given points. Sinusoidal functions are periodic functions that uses trigonometric functions and have the following form:

y = A · cos (2π · x/T) + B (1)

Where:

A - AmplitudeT - Period B - Vertical midpoint

The horizontal distance between the midline and the maximum point is equal to a quarter of the period. Hence,

T = 4 · (2 - 0)

T = 8

The vertical midpoint and amplitude of the sinusoidal function are now calculated:

Vertical midpoint

B = - 3

Amplitude

A = - 1.5 - (- 3)

A = 1.5

Then, the sinusoidal function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

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Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mile, $0.70 for each additional 1⁄2 mile increment.
-Write the piecewise function for 0 to 2 miles.
f(x) = ?

Answers

The piecewise function is

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

How to determine the piecewise function?

From the question, we have:

Fares = $2.00 ⇒ up to (and including) 1/2 miles

Fares = $0.70 increment ⇒ greater than 1/2 miles

Let x represent the number of miles, and f(x) the fares.

So, we have:

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

The above represents the piecewise function

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Find the perimeter and area of the figure shown in the picture.

Answers

Answer:

52 units

Step-by-step explanation:

Perimeter = sum of it sides =

15 + 8 + 6 + 17 + 6

= 52

Nancy left a bin outside in her garden to collect rainwater. she notices that 1 over 2 gallon of water fills 2 over 3 of the bin. write and solve an expression to find the amount of water that will fill the entire bin. show your work. explain your answer in words.

Answers

[tex]\frac{3}{4}[/tex] gallons of water fill the bin.

What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

Given: Nancy left a bin outside in her garden to collect rainwater.

She notices that 1 over 2 gallons of water fills 2 over 3 of the bin.

To Find: Write and solve an expression to find the amount of water that will fill the entire bin.

Let's say the amount of Water to fill the bin = W gallon

Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{2W}{3}[/tex]Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{1}{2}[/tex] gallon

Equate both:

[tex]\frac{2W}{3} =\frac{1}{2}[/tex] is the expression to find the amount of water that will fill the entire bin.

[tex]\frac{2W}{3} =\frac{1}{2} \\2W=\frac{3}{2} \\W=\frac{3}{4}[/tex]

Therefore, [tex]\frac{3}{4}[/tex] gallons of water fill the bin.

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Question is in the pic.

Answers

Answer is C as all other choices are even numbers therefore make the equation non-integer.

Answer:

C)7

Step-by-step explanation:

Due to the fact that all other options are even numbers so it Wii make the equation non-integer.

f(x) is a function. O A. True 0 False 6 12 9 f(x) 3 4 7

Answers

Answer:Answer: true

Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!

The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis

Answers

Answer:

g(x) = -√(-x +9)

Step-by-step explanation:

The relevant transformations are ...

f(x -h) . . . . . shifts the graph of f(x) right h unitsf(x) +k . . . . . shifts the graph of f(x) up k units-f(x) . . . . . . . reflects the graph of f(x) over the x-axisf(-x) . . . . . . . reflects the graph of f(x) over the y-axis

Application

Applying the transformations in the specified order, we have ...

f(x) = √x

f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left

-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis

-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis

The shifted, reflected function is ...

g(x) = -√(-x +9)

Additional comment

The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.

What is the solution to the equation? 2(z-4)^3/2 = 54
5
13
22
no solution

Answers

13.
2(z-4)^3/2=54

(z-4)^3/2=27

(z-4)^3=27^2

(z-4)^3= 729

(z-4)= cube root 729

z-4= 9

z=13

In which diagram do angles 1 and 2 form a linear pair?

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return

Answers

The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

What is a linear pair?

It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.

In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair

In conclusion, the correct option is D.

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Total area=
Help asap please thank u so much

Answers

The total area of the figure shown is 320 square units.

How to get the total surface area?

We can see that we have 4 triangular faces and one square face.

The area of a square of side length S is:

A = S²

Here we can see that the side length of the square is 10 units, then the area of the base is:

a = (10)² = 100

For a triangle of base B and height H, the area is:

[tex]A = B*H/2[/tex]

Here we can see that the base measures 10 units and the height 11 units, so the area of each triangular face is:

A' = (10)*(11)/2 = 55

Then the total area is:

area = 100 + 4*55 = 320

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When y = -8, x = 8, what is x when y = -6?

Answers

Answer:

x = 6

Step-by-step explanation:

y = -8

x = 8

-x = -8 = y

-x = y

now, when y is -6

-x = y = -6

-x = -6

x = 6

.For a field trip, 6 students rode in cars and the rest filled 8 buses. How many students were in each bus if 326 students were on the trip?

Let s represent the number of students on each bus.

Equation:

Answer:

Answers

Answer:

(326-6) ÷ 8 = s

40 = s

Step-by-step explanation:

Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius
was 2 in and the height was 6 inches and there was a 1/2 in of overlap for the glue.
Calculations
Joe
2π√10+ √10
Sue
12π + 3

choose the correct statements below.

select one or more:

Sue was correct.
Joe was correct.
Sue used the correct height and radius and calculated the overlap by adding the area for the strip of glue.
Neither were correct.
Joe used the height and radius to calculate the slant height.

Answers

The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

How to find the square inches of paper needed.

The square inches of paper needed A = surface area of cone + area of overlap

Surface area of cone

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

r = radius of cone = 2 in and h = height of cone = 6 in.

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

A = π × 2 × [2 + √40]

A = π × 2 × [2 + 2√10]

A = 2π[2 + 2√10]

A = 4π + 4π√10

The area of overlap

The area of overlap A' = wL where

w = width of overlap = 1/2 in and L = slant height of cone = √(h² + r²)

So, A' = wL

A' = w[√(h² + r²)]

A' = 1/2[√(6² + 2²)]

A' = 1/2[√(36 + 4)]

A' = 1/2[√40]

A' = 1/2 × 2√10

A' = √10

So, the number of square inches of paper needed is A" = A + A'

= 4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

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POSSIBLE OUTCOMES!!!
A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles.

Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.

Answers

The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL

How to determine the possible outcomes?

The given parameters are:

Coin = Head (H) and Tail (T)

Marble = W, B, B, B, R, R

See attachment for the tree diagram

From the tree diagram, we have the following possible outcomes

WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL