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notsponge [240]
2 years ago
15

A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost

for hosting this type of event is $50,000 per event. If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?
Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

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Jordan wants to play a basketball game at a carnival. The game costs the player $5 dollar sign, 5 to play, and the player gets t
Alinara [238K]

Answer:

The expected value of Jordan gains is -1 dollar.

Step-by-step explanation:

Consider the following random variables. X := #of shots that Jordan makes. Then, we can can define the random variable Y of the earnings of Jordan in a game as follows

Y = 5 if X=2 (since he gets 10, but invested 5),  Y=0 if X=1(since he gets the 5 back) and Y=-5 if X=0(since he doesn't get the money back). Then, in this case, we can define the probability as follows.

P(Y=5) = P(X=2), P(Y=0) = P(X=1), P(Y=-5)= P(X=0).

By definition, the expected value of Y is given by

E[Y] = 5\cdot P(Y=5)+0\cdot P(Y=0)-5 P(Y=-5). By the previous analysis, we have that

E[Y] = 5\cdot P(X=2)-5P(X=0)

We only need to calculate the probabilities for X. In this case, we can consider each shot independt from each other. Then, we can consider X to be distributed as a binomial random variable with n=2 trials and p=0.4 of success (since he has a 40% chance of winning).

Then, by definition

P(X=k) = \binom{n}{k}p^k(1-p)^{n-k} = \binom{2}{k}0.4^{k}0.6^{2-k}

where \binom{n}{k}=\frac{n!}{k!(n-k)!}

Then,

P(X=0) = \frac{2!}{0!2!}0.4^{0}0.6^{2} = 0.36

P(X=2)=\frac{2!}{0!2!}0.4^{2}0.6^{0} = 0.16

Then,

E[Y] = 5\cdot 0.16-5\cdot 0.36 = -1

8 0
2 years ago
Margie received her store order on 12/3/16 at 4AM. She just opened one of the
Cerrena [4.2K]

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

8 0
2 years ago
Which equation represents a proportional relationship with a constant of proportionality of 14? y = x + 14 y = 14x 14y = x y = x
Ivanshal [37]

For y and x to be the variables.

Equation that represents a proportional relationship with a constant or proportionality of 14 is : y = 14x

Here,  y and x are proportional to each other with a constant of proportionality of 14

6 0
2 years ago
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An air conditioning technician charged Robert $77.25 to repair his air conditioning system after 3 hours of work. The technician
agasfer [191]

Answer:B

Step-by-step explanation:

He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25

5 0
1 year ago
Rectangle KLMN is graphed on the coordinate plane below.The figure is rotated 360° counterclockwise using the origin as the cent
VladimirAG [237]

Since 360 is a full loop around the circle, the points end up in the exact same place.

3 0
2 years ago
Read 2 more answers
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