Answer:
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.9842
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
Then
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Carmen thought 30% of the movies were good.
I found the percent by dividing 21 by 70
21/70= .3
.3= 30%
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
- We have known that the diagonals of a parallelogram bisect each other.
So, O would be the midpoint of AC as well as that of BD.
The midpoint of AC is:
The midpoint of BD is:
so
∵ 
∵ 
Hence, the fourth vertex is D(8, 0)
It is possible that the proportion of adults in Country A equal to the proportion of adults in Country B. This statement does not necessarily mean that the populations of adults in the two countries are equal. It is the proportion and not the exact population. This occurs when the ratio of the population of adults to the total population of Country A is the same as that of the ratio of the population of adults to the total population of Country B.
