, 24.01.2020allieballey0727

Amovie theater charges 8 dollars for adults and 4 dollars for seniors. on a particular day when 353 people paid an admission, the total receipts were 1688 dollars

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

probability of n chips = {[e^(-x)]*(x^n)} / (n! )

A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, the total receipts were 1688 dollars. How many who paid were adults? . How many who paid were seniors?

There were 69 adults and 284 seniors

Solution:

Let "a" be the number of adults

Let "s" be the number of seniors

Cost of 1 adult = $8 Cost of 1 senior =$ 4

On a particular day when 353 people paid an admission

Therefore,

number of adults + number of seniors = 353

a + s = 353

a = 353 - s ---------- eqn 1

The total receipts were 1688 dollars

Therefore, we frame a equation as:

number of adults x Cost of 1 adult + number of seniors x Cost of 1 senior = 1688

8a + 4s = 1688 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

8(353 - s) + 4s = 1688

2824 -8s + 4s = 1688

4s = 2824 - 1688

4s = 1136

s = 284

Substitute s = 284 in eqn 1

a = 353 - 284

a = 69

Thus there were 69 adults and 284 seniors in movie theater

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