The radius of a circle is 10 inches. What is the angle measure of an arc bounding a sector with area 15 square inches?
1 answer:
You might be interested in
Answer:
<h3>B. 85°</h3>Step-by-step explanation:
Look at the picture.
We know: Angles on one side of a straight line always add to 180°.
Therefore:
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore:
<em>subtract 85° from both sides</em>
Answer:
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.
Step-by-step explanation:
The candy company claims that the percentage of blue candies is equal to 29%.
This means that the null hypothesis is:
We want to test the hypothesis that this is true, so the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.29 is tested at the null hypothesis:
This means that
Suppose that in a random selection of 100 colored candies, 21% of them are blue.
This means that
Value of the test statistic:
Pvalue of the test:
The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.
Looking at the z-table, z = -1.76 has a pvalue of 0.0392
2*0.0392 = 0.0784
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.