What is the arithmetic mean of the following numbers? 8 10 8 5 4 7 5 10 8

1 answer:

4 0

I re-orders as 4,5,5,7,8,8,8,10,10.

Mean 7.2222222222222
Median 8
Mode 8
Range 6
Minimum 4
Maximum 10
Count n 9
Sum 65
Quartiles Quartiles:
Q1 --> 5
Q2 --> 8
Q3 --> 9
Interquartile
Range IQR 4
Outliers none

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Solve the M -5 m = -35

dedylja [7]

Answer: m = 7

Step-by-step explanation: In this equation, since a -5 is being multiplied by m, in order to get m by itself, we must divide both sides of the equation by -5.

On the left side, our -5's cancel out and we are left with m. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for m in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

4 0

3 years ago

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$