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Iteru [2.4K]
3 years ago
14

During one month, a rental agency rented a total of 155 cars, trucks, and vans. Nine times as many cars were rented as vans, and

three times as many vans were rented as trucks. Let x represent cars, let y represent vans and let z represent trucks. Write a system of three equations that represent the number of each vehicle rented
Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

The system of three equations is equal to

x+y+z=155

y=9x

z=3y

Step-by-step explanation:

Let

x ----> the number of cars rented during one month

y ----> the number of vans rented during one month

z ----> the number of trucks rented during one month

we know that

x+y+z=155 ----> equation A

y=9x ---> equation B

z=3y ----> equation C

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In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C
horrorfan [7]

Answer:

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

Step-by-step explanation:

<em>Step(i)</em>:-

<em>Given sample size 'n' =300</em>

Given data  random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

<em>Given sample proportion </em>

<em>                        </em>p^{-}  = \frac{x}{n} = \frac{182}{300} =0.606

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

<em>90% confidence interval for the proportion is determined by</em>

(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} }  , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })

(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} }  ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })

(0.6066 -  0.0463  ,0.6066 +  0.0463)

(0.5603,0.6529)

<u>final answer</u>:-

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

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The bell that rings every 10 min will ring at 6:00, 6:10, 6:20,6:30, 6:40, 6:50

The bell that rings every 25 min will ring at 6:00, 6:25, and 6:50

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