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2 years ago

Is a measure of dispersion that indicates how much scores in a sample vary around the mean of the sample?

2 answers:

5 0

<span>The measure of dispersion that indicates how much scores in a sample vary around the mean of the sample is the standard deviation.</span>

svetlana [45]2 years ago

5 0

The measure is called STANDARD DEVIATION.
Standard deviation is a mathematical measure that is used to evaluate the difference between the mean value of a set of number and each value in the group. It is calculated as the square root of variance by determining the variation between each data point relative to the mean.

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If C{1,2} and D={4,5,6}, find C×D by tabulation method. i need for exam

Katarina [22]

Answer:

Step-by-step explanation:

C * D = {(x,y): x is an element of C and y is an element of D.}

C * D = { (1,4), (1,5), (1,6), (2,4), (2,5), (2,6) }

4 0

2 years ago

What two numbers are located 5/8 of a unit from 1/6 on a number line

velikii [3]

Step 1
Find the common denominator.
5/8 and 1/6---------> would be 2³*3----> 24

step 2
multiply (5/8) by (3/3) and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24

step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24

the answer is
the two numbers are
19/24 and -11/24

see the attached figure

5 0

2 years ago

What is the solution to 3(–3x + 9) = −18?

Rus_ich [418]

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3) Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6) Solve the 2nd equation: - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

5 0

1 year ago

What is the value of x?<br><br> Enter your answer in the box.

Viefleur [7K]

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of squares on the other 2 sides, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = $\sqrt{25}$ = 5

7 0

2 years ago

Read 2 more answers

What is the x coordinate in the solution of the system of equations y =-2/3x and 4x - 9y =-40

SOVA2 [1]

The two given equations are:
y = -2/3 x
4x - 9y = -40

Substitute by the first equation in the second as follows:
4x - 9(-2/3 x) = -40
4x + 6x = -40
10x = -40
x = -4

6 0

2 years ago