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xz_007 [3.2K]
2 years ago
9

Mary is buying tickets for a movie.

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

  • adult ticket = x
  • child ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

<u>x = 10</u>

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

<u>y = 4</u>

∴ So, the number of each ticket was she bought is <u>10 adult ticket</u> and <u>4 child </u><u>ticket.</u>

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Answer:

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Step-by-step explanation:

The first thing is to calculate critical z factor

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critical z factor for two sided alpha of .05 is calculated as follows:

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solving for N we have:

N = (2.58 * 14/6) ^ 2

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