A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
1 answer:
Answer:
80.56
Step-by-step explanation:
To find the rectangle area you just multiply its length by its width:
17 * 4 = 68
You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:
Since the radius (r) is 2 and is 3.14, you have the following equation:
A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 <em>(A is Area)</em>
Sum the rectangle's area with the circle's area:
12.56 + 68 = 80.56
And vuoila! there's your answer.
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Answer:
The decision is to not reject the null hypothesis.
At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50% (P-value = 0.1443).
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the proportion of all those using the drug that experience relief is significantly higher than 50%.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample has a size n=200.
The sample proportion is p=0.54.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as:
As the P-value (0.1443) is greater than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50%.