What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

Answers

Answer 1

Answer:

Answer:

Mean = 26.8

Step-by-step explanation:

In order to calculate the mean of a data set, we add up all the values in the data set and divide the sum by the number of values.

The formula for the mean is:

$\sf Mean = \frac{\textsf{Sum of all values}}{\textsf{Number of values}}$

In this case, the data set is:

{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

The sum of all the values in the data set is:

21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268.

The number of values in the data set is 10.

Substitute the given value in the above formula:

$\sf Mean = ( 268 )/( 10)\n\n = 26.8$

Therefore, the mean of the data set is 26.8.

Answer 2

Answer:

Answer: 26.8

Step-by-step explanation:

First, we add all the numbers together.

21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Now, we divide the sum by the amount of numbers we added. Since we added 10 numbers, we divide 268 by 10.

268/10 = 26.8

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Answers

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Answers

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Factor using ac-method and factor completely, 25x²-95x-20= ______ thanx for the help.

Answers

$25x^2-95x-20=5(5x^2-19x-4)=5(5x^2+x-20x-4)\n\n=5[x(5x+1)-4(5x+1)]=5(5x+1)(x-4)$

25x²-95x-20
=5(5x²-19x-4)
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When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c – 4c2 – 3c + 4

Answers

Answer:

$-4c^2+4c+6$

Step-by-step explanation:

Standard form of any polynomial is according to its degree

Degree is highest power of variable

Decreasing order of degree is the standard form of a polynomial.

we have given an expression

$2+7c-4c^2-3c+4$

we will write it in standard form as:

$-4c^2-3c+7c+4+2$

Now, we will simplify the polynomial by solving like terms we get:

$-4c^2+4c+6$

Therefore, the given polynomial is equivalent to $-4c^2+4c+6$

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a. True
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Answers

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Solve for x: −2x + 5 < 7

Answers

-2x + 5 < 7

-2x + 5 < 7
-5 -5 deduct 5 from both sides
-2x < 2
÷ -2 ÷ -2 divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on...

To check: Revert back to the original sign which is <.

x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7

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