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KiRa [710]
2 years ago
10

A caterer charges a $65 equipment fee to set up for a party and $9.50 per p person for food served at the party. Which of the fu

nctions ƒ(p) could be used to determine the total cost of a having a party catered?
Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

The total cost function of having a party catered  is f(p)  =  65 + 9.50 p

Step-by-step explanation:

The equipment fee of the caterer = $65

The charge per plate = $9.50

Let, Total number of people invited in the party = p

So, the cost of plates of p people  = Number of people x Per plate cost

                                                         =  p  x $9.50

Now, Total Catering Cost = Equipment Fee +  Cost of all plates

or,                       Total cost =  $65  + p  x $9.50

Hence, the total cost function of having a party catered

 is f(p)  =  65 + 9.50 p.

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a water tank holds 24,000 gallons how many hours will it take for two thirds of the water to be used if the water is used at an
melomori [17]
In this question there are several important information's worth noting.Based on these information's the answer can be easily found. It is given that the total capacity of the tank is 24000 gallons. in 24 hours or in 1 day the amount of water used is 650 gallons. The question requires us to find the time it will take to use 2/3 rd of the water in the tank.
then
2/3 rd water in respect to total water in tank = (2/3) * 24000
                                                                       = 16000
So 2/3 rd water of full tank is equivalent to 16000 gallons.
Now
650 gallons of water is used in = 24 hours
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16000 gallons of water will be used in = (24/650) * 16000
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6 0
1 year ago
It is claimed that 55% of marriages in the state of California end in divorce within the first 15 years. A large study was start
kykrilka [37]

Answer:

0.0045 = 0.45% probability that less than two of them ended in a divorce

Step-by-step explanation:

For each marriage, there are only two possible outcomes. Either it ended in divorce, or it did not. The probability of a marriage ending in divorce is independent of any other marriage. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

55% of marriages in the state of California end in divorce within the first 15 years.

This means that p = 0.55

Suppose 10 marriages are randomly selected.

This means that n = 10

What is the probability that less than two of them ended in a divorce?

This is

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.55)^{0}.(0.45)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.55)^{1}.(0.45)^{9} = 0.0042

P(X < 2) = P(X = 0) + P(X = 1) = 0.0003 + 0.0042 = 0.0045

0.0045 = 0.45% probability that less than two of them ended in a divorce

8 0
1 year ago
Bethany thinks this angle is 140 degrees. Daryn thinks this angle is 40 degrees. Who is correct? Explain what the other person d
Alborosie

Answer:

50

Step-by-step explanation:

I just think it's 50 because I was on this problem for a long time and I just took my best guess

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1 year ago
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