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frutty [35]
2 years ago
13

An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enroll

ment values shown in the table below:
Enrollment Month
January February March April May June
Acutal 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20


Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Mathematics
1 answer:
nataly862011 [7]2 years ago
3 0
The right answer for the question that is being asked and shown above is that: "No, the equation is not a good fit because the sum of the residuals is a large number."<span> Determine whether the equation that produced the predicted values represents a good line of best fit.</span>
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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
viktelen [127]

Answer:

a.) C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH          b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k

where k is a constant.

The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3  - 12q^2  + 48q - 64) + k = -(1/4)*q^3 +  3q^2  -  12q  -16 + k

Thus:

C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH

(b) C(14) = -(1/4)*14^3 +  3*14^2  -  12*14 + 436 = -686 + 588 - 168 + 436 = $170

7 0
1 year ago
Mr. Rico's small business is starting to make a profit. His costs last week were -$352. His profit last week was $22. How many t
MrRa [10]

Answer:

The Answer is -16

Step-by-step explanation:

The equation to this would be -352 / 22, which would give you 16, hope this helped!

5 0
2 years ago
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLP What is the simplified value of the expression below?
olganol [36]

Answer:

100

Step-by-step explanation:

start with what's in the parenthesis':

8 (9.75 - 3.25) + 12 x 4 = 8 (6.50) + 12 x 4

then take the number outside of the parenthesis' time the number inside of them:

8 (6.50) + 12 x 4 = 52 + 12 x 4

now, take the product of the two number on the right side of the addition sign:

52 + 12 x 4 = 52 + 48

finally, add the final two numbers together:

52 + 48 = 100  

6 0
1 year ago
Read 2 more answers
Lisa's test grades are 79, 89, and 90. there will be one more test this year. if lisa wants her test average to be at least 88,
erik [133]
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
 We have then that Lisa's average grade point equation is:
 88 =  \frac{79 + 89 + 90 + x}{4}
 Where,
 x: minimum note that lisa must obtain in the last exam.
 Clearing x we have:
 x = (88 * 4) - (79 + 89 + 90)&#10;&#10;x = 94
 Answer:
 
the lowest grade she can get on her last test is:
 
x = 94
5 0
2 years ago
If 20% of the people in a small town are voters, and there are 2,360 voters, what is the population of the town?
Gemiola [76]
Hi.

20% is 1/5 of the population. To find out 100% of the population, we can multiply by 5.

2,360 • 5 = 11,800

The population of the town is 11,800.

Cheers~
6 0
2 years ago
Read 2 more answers
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