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sasho [114]
3 years ago
13

Jack is a farmer and he wants to know the average weight of all the potatoes in a sack. He randomly selects 10 potatoes and weig

hs them. Their weights, to the nearest ounce are 5, 8, 9, 11, 7, 7, 8, 9, 12, and 7. What is the best estimate of the average weight of all the potatoes in the sack? Round to the nearest ounce.
Mathematics
1 answer:
Maurinko [17]3 years ago
7 0
Jack should remove the maximum and minimum weight potatoes from the average weight of the potatoes to compensate for the extremes. Therefore, we are left with a data set of:
8, 9, 11, 7, 7, 8, 9, 7; so n = 8
The sum of these is 66
The average weight of each potato is:
66/8
= 8 ounces
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If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Novay_Z [31]
Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 
3(0) ≥ (0) - 9 
3 ≥ - 9  yes 
3x + y > - 3 
3(0) + (0) > - 3
3 > - 3 yes 
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
3y ≥ x - 9 
3(2) ≥ (4) - 9
6 ≥  - 5 yes
3x + y > - 3 
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

4 0
3 years ago
20 POINTS
victus00 [196]

Ni is not correct. To solve the equivalent quarterly interest rate, the annual interest rate should be multiplied by the correct ratio. Since the annual interest rate is 4% per year. So in 1 quarter is equal to 0.25 year.

<span>(4% / year) (0.25 year/ 1 quarter) = 1% per quarter</span>

8 0
3 years ago
during a hot summer week the water level in wei's pool decreased by 1.9 centimeters. wei added water to the pool increasing the
tangare [24]
First week : -1.9 + 3.5 = 1.6
2nd week : -2.4

original water level had an increase of 1.6 inches
new water level has a decrease of -2.4 inches
7 0
3 years ago
Read 2 more answers
2(4+9w) what is the answer
EleoNora [17]

Answer:

8+18w

Step-by-step explanation:

2(4+9w)

Distribute the 2

2*4 + 2*9w

8+18w

6 0
3 years ago
Read 2 more answers
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