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nevsk [136]
3 years ago
14

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 t

imes as many villagers. The game gave Chase four villagers to start with. Help Chase expand his empire by solving for how many villagers he can create with 17 towns. Then explain to Chase how to create an equation to predict the number of villagers for any number of towns. Show your work and use complete sentences.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Well the way I see it is he started with 4 villager so I would see the equation to be

 1.13x times 17+4 would equal the amount of villagers he could have which would be 23.21 as for the equation it would be 1.13x times 17 plus four equals the number of villagers total

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Answer:

\frac{\pi  }{3}

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Step-by-step explanation:

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2 years ago
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Answer:

37.5

Step-by-step explanation:

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40x/100 = 15

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divide 40 on both sides

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Answer:

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Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

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Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

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Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

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H1: µ > 2.3

This is a right tailed test

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Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

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µ = population mean = 2.3

s = samples standard deviation = 0.16

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We would determine the p value using the t test calculator. It becomes

p = 0.02

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Step-by-step explanation:

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