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2 years ago

What is the Mean Average deviation from the Mean? Numbers: 6, 2, 3, 3, 2, 2

Mathematics

1 answer:

Irina-Kira [14]2 years ago

6 0

Answer:

2.42

Step-by-step explanation:

standard deviation= sqrt(variance)

Variance=E[X2] - E[X]2

E[X] = sum(X)/n=35/9, so E[X]2 = 1225/81

E[X2] =sum(X2)/n = 189/9 = 170/81

Variance= 476/81

Standard deviation = sqrt(476/81) ~2.42

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I have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total

nydimaria [60]

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

8 0

2 years ago

Read 2 more answers

Find the value of x in simplest radical form

Dominik [7]

Answer:

Step-by-step explanation:

h^2=x^2+y^2, here x and y are equal so we can say

h^2=2x^2, we see that h=2(2^(1/2)) so

2x^2=8

x^2=4

x=2

4 0

2 years ago

Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2

scoundrel [369]

The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4

<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209

6 0

1 year ago

You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l

alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

Statement 1: The y-intercept is -1

Point (3/8, 1/2)

Slope = m = 4

y = mx + c

1/2 = 4(3/8) + c

1/2 = 3/2 + c

1/2 = 3/2 + 2c/2

-2 = 2c

c = -1

This statement is true as the y-intercept is -1.

Statement 2: The slope intercept equation is y= 4x - 1

slope = m = 4

y-intercept = c = -1

y = mx + c

y = 4x - 1

This statement is true as the slope intercept equation is y= 4x -1

Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)

Point slope equation: y - y1 = m (x - x1)

Points: (x, y) (3/8, 1/2)

y1 = 1/2

x1 = 3/8

Slope = m = 4

y - 1/2 = 4 (x - 3/8)

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

6 0

3 years ago

Dorothy's dietary intake for one day consisted of 250 grams of carbohydrate, 60 grams of protein, and 40 grams of fat. What perc

tester [92]

Answer:

$\%Percent = 17.14\%$

Step-by-step explanation:

Given

$Carbohydrate = 250\ g$

$Protein = 60\ g$

$Fat = 40\ g$

Required

Determine the percentage of protein

First, we need to calculate the total:

$Total = Carbohydrate + Protein + Fats$

$Total = 250\ g + 60\ g + 40\ g$

$Total = 350\ g$

Percentage of protein is calculated as thus:

$\%Percent = \frac{Protein * 100\%}{Total}$

$\%Percent = \frac{60 * 100\%}{350}$

$\%Percent = \frac{6000\%}{350}$

$\%Percent = 17.14\%$

4 0

3 years ago