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3 years ago

The sum of the residuals should always be 0 because the predicted values should be that close to the actual values.

Mathematics

2 answers:

kow [346]3 years ago

7 0

Answer: True

Step-by-step explanation:

The sum of the residuals is always 0 so the plot will always be centered around the x-axis. An outlier is a value that is well separated from the rest of the data set. An outlier will have a large absolute residual value.

melisa1 [442]3 years ago

7 0

The answer is TRUE
Have a Great day

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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

Evaluate the following expression. 6 squared -1

natita [175]

Answer:

Step-by-step explanation:

$6^2 - 1\\36-1\\35$

4 0

3 years ago

Read 2 more answers

Greatest common factors 4,8 Can u do a factor tree I need help with it

solong [7]

4. 8
/ \ / \
2 x 2. 4 x 2
/ \
2 x 2

4: 2x2
8: 2x2x2

The GCF is 4

7 0

3 years ago

After painting the fence steve and janet realize that their house also needs painting. But steve will have to do the painting hi

gladu [14]

Answer:

Therefore, Steve will paint house for 20.6 days.

Step-by-step explanation:

We know that Steve determines that it would take them 9 days to paint the house together (if they were both healthy) and that it would take Janet (when healthy) 16 days to paint the house alone.

We conclude that in 1 day Janet painted 1/16 of the house. In nine days, Janet painted 9/16 of house.

So, 7/16 of house paint Steve in nine days.

We have the following proportion:

$\frac{7}{16}:9=1:x\\\\\frac{7}{16}x=9\\\\x=9\cdot \frac{16}{7}\\\\x=20.6$

Therefore, Steve will paint house for 20.6 days.

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3 years ago

Question 2. Which fraction is equivalent to 4%? A) 1/50 B) 2/25 C) 1/25

gtnhenbr [62]

It is C) 1/25
Hope this helps

7 0

3 years ago