A painter earns $119.00 for 7 hours of work. Which of the following is an equivalent rate?
1 answer:
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Answer:
Minor arc BC - 130° (arc at which inscribed angle is subtended)
The major arc BC - 230°
Step-by-step explanation:
Angle BDC is inscribed angle subtended on the arc BC.
The measure of the angle BDC is 65°.
The Central Angle Theorem states that the central angle from two chosen points B and C on the circle is always twice the inscribed angle from those two points.
By the central angle theorem, the measure of central angle BOC (O is the center of the circle) has the measure of
Hence, the minor arc BC has the same measure as the central angle BOC that is 130°.
The major arc BC has the measure
Answer:
And the 2 is because we are conducting a bilateral test.
since the the
we fail to reject the null hypothesis.
since the the
we fail to reject the null hypothesis.
Step-by-step explanation:
Data given
population mean (variable of interest)
represent the population standard deviation
represent the sample deviation
n=15 represent the sample size
represent the values for the significance level
Hypothesis test
On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:
H0:
H1:
In order to check the hypothesis we need to calculate the statistic given by the following formula:
This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.
What is the value of your test statistic?
Now we have everything to replace into the formula for the statistic and we got:
P value
We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:
And the 2 is because we are conducting a bilateral test.
since the the
we fail to reject the null hypothesis.
since the the
we fail to reject the null hypothesis.