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Alja [10]
3 years ago
10

makayla's local movie theater has a movie goer club that charges an annual registration fee of $25. however, movie tickets are d

iscounted for member at $6.00 per ticket, instead of the regular $9.00 per ticket. let m equal the number of movie tickets makayla purchases in a year. write a function to model the amount of money makayla spent on going to the movies during the year she joined the club the domain is represented by
Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

C(m) = 25 + 6m  and m ≥ 0.

Step-by-step explanation:

After joining the moviegoer club, Makayla charged an annual registration fee of $25. but, movie tickets are charged for members at $6.00 per ticket.

Let us assume that Makayla purchased m number of movie tickets in a year since he joined the club then the function that models the total cost for Makayla's movie ticket is given by  

C(m) = 25 + 6m  

The domain of the function is represented by m ≥ 0. (Answer)

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Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

a)

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

b)

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.  

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.  

Since <em>the t distribution is symmetric with respect to 0</em>, -c would be a point such that the area to the left of -c is p.

So we want to compute  in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc  

-TINV(0.05*2;18) = -1.73406361

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Answer:

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Step-by-step explanation:

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