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UkoKoshka [18]
3 years ago
13

A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe

rformance of his students. Student scores were as follows: 20, 18, 16, 15, 23, 20. The mean of the ACT scores is: a. 18 b. 20 c. 19 d. 17
Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.  

\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}

\text{Mean}=\frac{20+18+16+15+23+20}{6}

\text{Mean}=\frac{112}{6}

\text{Mean}=18.66666

Upon rounding to nearest whole number, we will get:

\text{Mean}\approx 19

Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.

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For which equation will f(-2)= -6?
Mila [183]

Answer:

C. f(x)=4x^3+6x^2-x

Step-by-step explanation:

Lets plug in -2 into each of these equation to see which one gives us the solution of -6

A. f(x)=x^3+x

f(-2)=(-2)^3+(-2)\\\\f(-2)=-8-2\\\\f(-2)=-10

B. f(x)=x^4-5x

f(-2)=(-2)^4-5(-2)\\\\f(-2)=16+10\\\\f(-2)=26

C. f(x)=4x^3+6x^2-x

f(-2)=4(-2)^3+6(-2)^2-(-2) \\\\f(-2)=4(-8)+6(4)+2\\\\f(-2)=-32+24+2\\\\f(-2)=-6

D. f(x)=-3x^3-4x^2+4x

f(-2)=-3(-2)^3-4(-2)^2+4(-2)\\\\f(-2)=-3(-8)-4(4)-8\\\\f(-2)=24-16-8\\\\f(-2)=0

As we can see, function C was the only one that gave us the value of -6, so that is our answer.

7 0
4 years ago
Read 2 more answers
What is the area of the trapezoid
matrenka [14]

Answer:

(base1 + base2)/2 times the height

4 0
3 years ago
A box of chalk and 2 staplers cost $10. three boxes of chalk and 2 staplers cost $18. find the total cost of 1 box of chalk and
Alchen [17]
Here is the solution of the given problem above:
Let s= staples 
<span>c = chalk</span>

<span>c + 2s = 10 </span>
<span>3c + 2s = 18 </span>

<span>-c-2s = -10 </span>
<span>3c + 2s = 18 </span>

<span>2c = 8 </span>

<span>c = 4 </span>
<span>s = 3 
</span>Therefore, the price per chalk box is $4 and per stapler is $3.
So the total cost of the chalk and stapler would be $7. 
Hope this is the answer that you are looking for. Thanks for posting it here in brainly.
7 0
4 years ago
50 points for this question
nekit [7.7K]

Answer:

50°

Step-by-step explanation:

50°+2x=150(vertically opposite angles)

x=50

3 0
2 years ago
Read 2 more answers
What is the slope of the line on the graph? Enter your answer in the box. A coordinate grid that includes the line y equals nega
RUDIKE [14]

we have

the equation of the line is y=-2x

the points are

A(3,-6)\\B(0,0) \\C(-3,6)

<u>Method 1</u>

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In this problem we have a direct variation

The constant of proportionality k is equal to the slope of the line

k=-2

so

m=-2

therefore

<u>the answer is</u>

the slope of the line is equal to

m=-2

<u>Method 2</u>

we know that

the formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(3,-6)\\B(0,0)

substitute in the formula

m=\frac{0+6}{0-3}

m=\frac{6}{-3}

m=-2

therefore

<u>the answer is</u>

the slope of the line is equal to

m=-2


3 0
4 years ago
Read 2 more answers
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