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1 year ago

M is the midpoint of the segment. Find the length of CG

Mathematics

1 answer:

hammer [34]1 year ago

7 0

If M is the midpoint then segment CM and segment MG are equal. So 6x - 15 = 4x + 1.

6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)

2x = 16
2 2
(Divide both sides by 2)

x = 8

Now just plug in x to find the length of one segment and double it to find the length of CG

6(8) - 15 = 33

33 • 2 = 66

CG = 66

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Answer:

Null hypothesis $H_0:\mu=5.00km$

Alternative hypothesis $H_1:\mu\neq 5.00km$

The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.

Step-by-step explanation:

It is given that a data set lists earthquake depths. The summary statistics are

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Level of significance = 0.01

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Alternative hypothesis $H_1:\mu\neq 5.00km$

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$z=\frac{5.89-5.00}{\frac{4.44}{\sqrt{300}}}$

$z=\frac{0.89}{0.25634351952}$

$z=3.4719$

The p-value for z=3.4719 is 0.000517.

Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.

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Step-by-step explanation:

When we use the percentage (%) notation, to express for example the happening of a success is X%, we are expressing that the corresponding fact is happening X times every 100 times. Instead of X% we could use X/100.

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So, we have:

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Observation: For avoiding comas in the latter fraction we could also say: 305/1000.

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