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DiKsa [7]
3 years ago
13

A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unl

eaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

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In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p
hichkok12 [17]

Answer:

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

4 0
3 years ago
Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A. (2, -9) B. (-2, -3) C. (3, 2) D. (2, 3)
Brilliant_brown [7]
Plugging it in, we get (3)(2)+2y=-12 and 6+2y=-12. Subtracting 6 from both sides, we get -18=2y and dividing by 2 we get y=-9  to get (2, -9) since x is first in the pair
4 0
3 years ago
I need the answers to this ASAP
Doss [256]

Answer:

First Answer: A = $ 4,247.03

A = P + I where

P (principal) = $ 4,000.00

I (interest) = $ 247.03

Second Answer : A = $ 6,325.22

A = P + I where

P (principal) = $ 5,500.00

I (interest) = $ 825.22

Third Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.5

Fourth Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.55

Step-by-step explanation:

HOPE IT HELPS MARK ME BRAINLIEST :)

7 0
3 years ago
What are possible coordinates of point F if triangle DEF is<br> congruent to triangle ABC?
Lemur [1.5K]

Answer:

(-1, 4)

Step-by-step explanation:

Point B is 5 units below point A, and point E is 5 units above point D: AB = ED. This means that BC will be equal to EF. B and C are 7 units apart, so 7 units left from E is (-1, 4).

Hope this helps!

8 0
2 years ago
2) Addisyn has a 12-sided die. If she rolls
ahrayia [7]
The answer to your question is about 9 times so ya that your answer about 27 times
5 0
3 years ago
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