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serious [3.7K]
3 years ago
8

A movie theater sells adult tickets for $6 each. Senior citizens receive a discount of $3. One evening the theater sold 400 tick

ets and took in $2070 in revenue. How many tickets were sold to senior citizens?
Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

Step-by-step explanation:

<u>First, we need to establish a system of equations:</u>

x= number of adults tickets

y= number of senior citizen tickets

x + y= 400

6x + 3y= 2,070

<u>Now, we isolate x in one equation and substitute the value in the other:</u>

x= 400 - y

6*(400 - y) + 3y = 2,070

2,400 - 6y + 3y = 2,070

330 = 3y

110 = y

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

<u>Prove:</u>

290 + 110= 400

6*290 + 3*110= 2,070

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Answer:

25 is your answer.

Step-by-step explanation:

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Hope this is helpful!

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Oduvanchick [21]

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Step-by-step explanation:

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3 years ago
According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage
anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

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Step-by-step explanation:

<u>Step</u> :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

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standard deviation of sample σ = 0.31 volts

<u>Step2</u>:-

<u>Null hypothesis</u> :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

<u>Alternative hypothesis:-</u>

H₁ : μ ≠120

<u>level of significance</u>:- α =0.05

<u>Step 3:</u>-

<u>The test statistic</u>

z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }

substitute values and simplification

z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }

on simplification we get the calculated value

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The tabulated value z =1.96 at 0.05 % level of significance

<u>Conclusion</u>:-

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3 years ago
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Answer:

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Step-by-step explanation:

1. Let's review the information provided to us for solving the question:

Which of the following is the approximate square root of 24, rounded to the nearest whole number?

We are asked to find out the square root of 24 and if the number has a lot of decimal places, round it to the closest whole number.

√24 = √6 * 4 (Simplifying)

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