Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earni
2 answers:
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Answer:
Area of the rectangular pen is:
Step-by-step explanation:
We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:
Perimeter= 2 x + 2 y = 36
so, 2 (x+y) = 36 then (x+y) = 18
and therefore the side y should be:
y = 18 - x
Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y
Answer:
There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).
Step-by-step explanation:
The question is incomplete:
<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>
This is a hypothesis test for the difference between proportions.
The claim is that the proportions are not equal.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1, of size n1=1000 has a proportion of p1=0.031.
The sample 2, of size n2=1200 has a proportion of p2=0.018.
The difference between proportions is (p1-p2)=0.013.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportions are not equal.