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jeka94
2 years ago
12

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

Mathematics
1 answer:
madam [21]2 years ago
8 0

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5.  To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

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Neko [114]

Answer:

We conclude that that there is enough evidence to support the claim mean credit card debt for individuals is greater than $5,100.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $5,100

Sample mean, \bar{x} = $ 5,270

Sample size, n = 27

Alpha, α = 0.10

Sample standard deviation, s = $550

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 5100\text{ dollars}\\H_A: \mu > 5100\text{ dollars}

We use one-tailed t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{5270 - 5100}{\frac{550}{\sqrt{27}} } =1.606

c) Now,

t_{critical} \text{ at 0.10 level of significance, 26 degree of freedom } = 1.314

Since,                    

t_{stat} > t_{critical}

d) We fail to accept the null hypothesis, and accept the alternate hypothesis.

e) We conclude that that there is enough evidence to support the claim mean credit card debt for individuals is greater than $5,100.

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What are the names of three collinear points?
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B) Points T, V, and U are collinear

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