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2 years ago

A concert promoter charges $65 per ticket for a concert. The promoters cost will be $5500 plus $4 per ticket.

Mathematics

2 answers:

otez555 [7]2 years ago

6 0

Let the number of units sold be n

Revenue = 65*n

Cost function = 5500 +4*n

Profit function = Revenue - Cost

=65n -(5500+4n)

61n-5500

Fofino [41]2 years ago

3 0

You would just plug in the formulas given to you following the hint it's:
r(n) - c(n)
which goes to
65n - (4n + 5500)
then we can simplify that to
61n - 5500
Part 2:
61(850) - 5500
51850 - 5500 = 46350
this means if he sells 850 tickets he will make a net of 46350 dollars

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Alisiya [41]

5 people.

14 + 9 + 12 + 13 + 12 = 60 total pencils.

60 pencils / 5 people = 12 pencils each.

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1 year ago

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A recent nationwide study investigated the value of the prostate-specific antigen (PSA) blood test for the detection of prostate

MaRussiya [10]

Answer:

Step-by-step explanation:

Remember:

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

You can arrange them in a contingency table as:

Probabilities Positive ; Negative

Sick + ∩ S ; - ∩ S S

Healthy + ∩ H ; - ∩ H H

+ - 1

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = P(+ ∩ S)

P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = P(- ∩ H)

P(H)

1) You are studying the value of the prostate-specific antigen (PSA) blood test for the detection of prostate cancer on men of 50 years of age and older.

Total 100000 men

686 men tested positive

281 of the men that tested positive had cancer

45 men that tested negative had cancer

Total - positive cases: 100000 - 686 = 99314 tested negative

; Positive ; Negative ; Total

Sick ; 281 ; 45 ; 326

Healthy ; 405 ; 99269 ; 99674

Total ; 686 ; 99314 ; 100000

Sensitivity of the test is

P(+/S) = P(+ ∩ S) = 0.00281 = 0.86

P(S) 0.00326

Where:

P(+ ∩ S) = 281/100000 = 0.00281

P(S) = 326/100000 = 0.00326

The test has an 86% probability of detecting PSA in sick patients.

Specificity of the test is

P(-/H) = P(- ∩ H) = 0.99269 = 0.995

P(H) 0.99674

Where:

P(- ∩ H)= 99269/100000= 0.99269

P(H)= 99674/100000= 0.99674

The test has a 99.5% probability of not detecting PSA in healthy patients.

Positive predictive value (PPV)

It's defined as the probability of being sick when the test is positive:

P(S/+)= P(S ∩ +) = 0.00281 = 0.04

P(+) 0.0686

Where

P(+)= 686/100000= 0.0686

There is a 4% probability of having cancer if the test is positive.

Negative predictive value (NPV)

P(H/-)= P(H ∩ -) = 0.99269 = 0.999

P(-) 0.99314

Where:

P(-)= 99314/100000= 0.99314

There is a 99.9% probability of being healthy if the test is negative.

6 to 10 are all examples of medical tests.

I hope this helps!

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1 year ago

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Answer:

Step-by-step explanation:

A). An investment account earns 2.8% simple interest.

Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value × $(1+\frac{.028}{100})^t$

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

3 0

1 year ago

A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on a side wall ($10^{\prime}$ by

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Answer: The shortest is 22.4 feet

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straight from where it is to the celling: 1 feet

diagonally from the celling to the wall where the fly:

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straight from the corner of the celling to where the fly is: 7 feet.

1 + 14.4 + 7 = 22.4

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1 year ago

if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after 2 years

kakasveta [241]

Principal Balance: 2000

Compound Interest: 3%

Type: Yearly

2000 x 1.03 = 2060

Year 1 : £2060

2060 x 1.03 = 2121.8

Year 2: £2121.8

There will be £2,121.80 in the account after 2 years.

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2 years ago

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