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Julli [10]
4 years ago
12

A recent study found that 81?% of? breast-cancer cases are detectable by mammogram. Suppose a random sample of 11 women with bre

ast cancer are given mammograms. Find the probability that all of the cases are? detectable, assuming that detection in the cases is independent.
Mathematics
1 answer:
elena-s [515]4 years ago
7 0

Answer:

9.847 %

Step-by-step explanation:

Be p1 the probability that the mammogram detect breast cancer in a woman.

p1=81%.

The probability 'P' that independent and consecutive 'n' singular events with p probability occur is:

P=p_{1} ^{n}

In this case:

P: Probability that breast cancer be detected on 11 women with breast cancer.

P=0.81^{11}=0.09848

P=9.847 %

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The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla
Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0
3 years ago
Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Pro
Makovka662 [10]

Answer:

Key Differences Between Descriptive and Inferential Statistics:

The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:

Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.

Descriptive Statistics collects, organises, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.

There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.

Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.

Descriptive statistics explains the data, which is already known, to summarise sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :

"80% of these people have the last name Nicolussi."

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :

"80% of all people living in Italy have the last name Nicolussi."

We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.

6 0
3 years ago
It takes 1 1/3 hours to set up 1/3 of an hour to run and 2/3 of an hour to verify the results. How many hours will it take to co
liraira [26]

Answer: It will take \frac{7}{3} of an hour to complete the test.

Step-by-step explanation:

We need to convert the mixed number 1\ \frac{1}{3} to an improper fraction:

1\ \frac{1}{3}=\frac{(1*3)+1}{3}= \frac{4}{3}

Now, we need to make the following add the fractions in order to calculate how many hours will it take to complete the test. Then, we get:

\frac{4}{3}+\frac{1}{3}+\frac{2}{3}=\frac{4+1+2}{3}=\frac{7}{3}

Therefore, it will take \frac{7}{3} of an hour to complete the test.

5 0
3 years ago
After college you start a job earning $40,000 a year. You get a 6% raise each year.
alex41 [277]
Answers: A) $44,944
B) $50,499.0784


Math: Using the percentage calculator linked below 6% of $40,000 is $2,400. Since you're getting your second raise after your first and since it is a 6% raise from what you're getting paid at that time we add pay raise 1 to your starting pay before calculating the 6% for pay raise 2. $40,000+$2,400=$42,400. 6% of $42,400 is $2,544. $42,400+$2,544=$44,944, Since that is two pay raises that would be your earnings at the end of year two (answer A).
We continue calculating 6% then adding that onto the total before calculating it for the next year for problem B.
6% of $44,944 is $2,696.64. $44,944+$2,696.64=$47,640.64.
6% of $47,640.64 is $2,858.4384. $47,640.64+$2,858.4384=$50,499.0784. That's answer B.


Hopefully you can figure out C on your own! I feel a little bad for giving a partial answer but I think you can do this!

Percentage calculator used-https://percentagecalculator.net/
Note: can't handle commas, remove all commas before entering data in.
7 0
3 years ago
The price of a watch is decreased by 10% to 3600. what will be it's original price?​
LekaFEV [45]

Answer:

3960

Step-by-step explanation:

10% of 3600 = 360

3600 + 360 = 3960

5 0
4 years ago
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