A movie theater sends out a coupon for 70% off the price off a ticket. a) Write an equation for the situation, where y is the pr
2 answers:
Answer:
Step-by-step explanation:
Givens:
is the price of the ticket, after the offer.
is the original price of the ticket, before the offer.
So, knowing what represents the variables, we can write an expression to model this situation. The expression would be:
The difference is modelling the offer, the discount from the coupon, it says that such coupon offers a discount of 70% of the original prices, and that percentage is represented by 0.70, multiplied by because that variable represents the original price. In addition, we have to subtract, because a discount means lower price, less than the original.
Therefore, the expression is:
In words, with the coupon, people just pay 30% of the original price.
You might be interested in
Answer:
The probability table is shown below.
A Poisson distribution can be used to approximate the model of the number of hurricanes each season.
Step-by-step explanation:
(a)
The formula to compute the probability of an event <em>E</em> is:
Use this formula to compute the probabilities of 0 - 8 hurricanes each season.
The table for the probabilities is shown below.
(b)
Compute the mean number of hurricanes per season as follows:
If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:
Compute the probability of <em>X</em> = 0 as follows:
Compute the probability of <em>X</em> = 1 as follows:
Compute the probabilities for the rest of the values of <em>X</em> in the similar way.
The probabilities are shown in the table.
On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.
