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serious [3.7K]
2 years ago
5

The scores on a test for a sample of 42 statistics students are summarized in the following table. 9, 90, 18, 80, 15, 70. Find t

he mean score. round your answer to at least one decimal place.
Mathematics
1 answer:
igomit [66]2 years ago
5 0
<h3>Answer:   78.6</h3>

Work Shown:

\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Score}\\\cline{1-2}9 & 90\\\cline{1-2}18 & 80\\\cline{1-2}15 & 70\\\cline{1-2}\end{array}

Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.

\begin{array}{|c|c|c|} \cline{1-3}\text{Number of People} & \text{Score} & \text{Number*Score}\\\cline{1-3}9 & 90 & 810\\\cline{1-3}18 & 80 & 1440\\\cline{1-3}15 & 70 & 1050\\\cline{1-3}\end{array}

The values in the third column add to 810+1440+1050 = 3300

Divide this over the total number of people which is 9+18+15 = 42

The mean is 3300/42 =78.571 approximately which rounds to 78.6

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One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard
Charra [1.4K]

Answer:

No, the bid is not correct.

Step-by-step explanation:

One of your employees is bidding on a carpet installation job.

They estimate that it will take 3 hours to install 12 square yards of carpeting.

we know that 1 square yard= 9 square foot.

12 square yard= 12×9 square foot=108 square foot

i.e. it takes 3 hours to carpet 108 square foot.

Hence time taken to carpet 1 square foot= \dfrac{3}{108} hour

Now the dimension of room is:

11' 6"× 12' 9" i.e. we convert both the units to foot as:

1 foot= 12 inch

11'6"=11+(6/12)=11.5  foot.

and 12'9"=12+(9/12)=12.75 foot.

Hence, dimension of room=11.5 foot×12.75 foot

Hence area of room=11.5×12.75=146.625 square foot.

Time to carpet 146.625 square foot=

\dfrac{3}{108}\times 146.625 hour

=4.0729 hour

But it is given that it takes 12.3 hours to install the carpet.

Hence, the calculations were wrong.


6 0
3 years ago
Read 2 more answers
F (x) = x+2 +9<br> What is the inverse
Sindrei [870]

Answer: The inverse is f^-1 (x) = x - 11

8 0
3 years ago
What is the area of this trapezoid?
aev [14]

Answer:

The area is 80

Step-by-step explanation:

rectangle in the middle; 24

both triangles on the side; 56

In total; 80

3 0
2 years ago
If P=(3,4), find:<br> R y-axis (P)<br> Please help!!
user100 [1]

Answer:

(-3,4)

Step-by-step explanation:

That means to reflect the point across the y-axis... If you draw (3,4) on the coordinate plane you should see (-3,4) is the reflection across the y-axis from that point.

8 0
3 years ago
Read 2 more answers
How do you do 56 through 58? Thanks to anyone who awnsers!
astraxan [27]

Hello !

56)

5 {x}^{2}  + 8x =  - 1 \\ 5 {x}^{2}  + 8x + 1 = 0

\Delta =  {b}^{2}  - 4ac \\  =  {8}^{2}  - 4 \times 5 \times 1 \\  = 64 - 20 \\  = 44

The value of the discriminant is 44.

57) ∆>0 : there are two solutions.

58)

x_1 =  \frac{ - b +  \sqrt{\Delta} }{2a}  \\  =   \frac{ - 8 +  \sqrt{44} }{2  \times 5}  \\  =  \frac{ \sqrt{11} - 4 }{5}

x_2 =  \frac{ - b - \sqrt{\Delta} }{2a} \\  =  \frac{ - 8 -  \sqrt{44} }{2 \times 5}   \\  =  \frac{ -  \sqrt{11} - 4 }{5}

Have a nice day

4 0
1 year ago
Read 2 more answers
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