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ohaa [14]
3 years ago
12

A theater is selling movie tickets. The first night, 19 Senior tickets and 57 Adult tickets were sold. The second night, 20 Seni

or tickets and 62 Adult tickets were sold. On which night did the theater sell a higher ratio of Senior tickets to Adult tickets
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

Step-by-step explanation:

Rate of senior tickets to adult tickets:

Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.

The first night, 19 Senior tickets and 57 Adult tickets were sold.

19 out of 19 + 57 = 76. So

19*100%/76 = 25%

The second night, 20 Senior tickets and 62 Adult tickets were sold.

20 out of 20 + 62 = 82. So

20*100%/82 = 24.39%

25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

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5 0
3 years ago
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Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

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A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

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A = [ (18 - 3y)/4]^2 + √3y^2/4

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This is a minimum value for x.

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There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

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3 years ago
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Answer:

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Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

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x is the number of successes.

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n is the size of the sample.

k is the total number of desired outcomes.

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