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ikadub [295]
3 years ago
15

A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per s

ticker is 0.14 − 0.000002x dollars, and the total cost of producing the order is 0.091x − 0.0000005x2 dollars. Use the fact that profit = revenue − cost to express P(x), the profit on an order of x stickers, as a difference of two functions of x.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

P(x) = (0.049x - 0.0000015x²)

Step-by-step explanation:

price per sticker is 0.14 − 0.000002x dollars

total cost of producing the order is 0.091x − 0.0000005x² dollars.

P(x) = profit = Revenue - Cost

Let the number of units of stickers made be x

Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)

= (0.14x - 0.000002x²) dollars.

Cost of producing x units in the order = (0.091x − 0.0000005x²)

P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²

= (0.049x - 0.0000015x²)

P(x) = (0.049x - 0.0000015x²)

Hope this Helps!!!

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A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n
mafiozo [28]

Answer:

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

\hat p=\frac{40}{120}=0.333 estimated proportion of strawberries damaged

p_o=0.25 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that no more than 25% of his total harvest of strawberries was damaged.:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0
2 years ago
Kelsey jog 60 feet in 6 second what is thus rate in miles per hour round to the nearest tenth
GenaCL600 [577]

Answer:10

Step-by-step explanation: divide 60 by 6

5 0
3 years ago
I need to get the answer to the problem 3(x-4)=12 because I am having trouble solving it
KiRa [710]

Answer:

x = 8

Step-by-step explanation:

3(x-4) = 12

3x - 12 = 12

+ 12         + 12

3x = 24

/ 3     / 3

x = 8

6 0
3 years ago
Read 2 more answers
Can you help with this question? I am kinda stuck.
ruslelena [56]

Answer:

  • 29400 cm²

Step-by-step explanation:

The cube has 6 equal faces.

<u>Total surface area:</u>

  • S = 6a²
  • S = 6*(0.7 m)² = 6*(70 cm) ² = 29400 cm²
4 0
2 years ago
Select the correct answer.
aleksklad [387]
We want 10% = 0.1 = $10
Then to work out 100% we divide $10 by 0.1
$10/0.1 = $100
6 0
3 years ago
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