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il63 [147K]
3 years ago
12

The equation y=1/9x relates proportional quantities x and y.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

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Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

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Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

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Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

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So:

T = \frac{45}{9.1/\sqrt{50}}

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T = \frac{45}{1.29}

T = 34.88

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\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

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This Is for the 4.07 K-12 Quiz! <3

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