Answer:
The two boards of equal length are 30 inches long, and the third board is 24 inches long
Step-by-step explanation:
First, convert the length of the board to inches. There are 12 inches in a foot, so multiply 7 by 12:
7(12)
= 84
Let x represent the length of the two boards of equal length. The length of the third board can be represented by x - 6, since it is 6 inches shorter than the other two.
Create an equation to represent this and solve for x:
(x) + (x) + (x - 6) = 84
3x - 6 = 84
3x = 90
x = 30
So, the two boards of equal length are 30 inches long.
Subtract 6 from this to find the length of the third board:
30 - 6
= 24
The two boards of equal length are 30 inches long, and the third board is 24 inches long.
Answer:
The mean of the sampling distribution of p is 0.75
The standard deviation of the sampling distribution of p is 0.0274
Step-by-step explanation:
According to the given data 75% of the sampled households watch sports on television at least once a month therefore the mean of the sampling distribution of p is 0.75.
In order to calculate the standard deviation of the sampling distribution of p we would have to use the following formula as follows:
Standard deviation = √ [ p ( 1 - p) / n ]
= √[ 0.75 * ( 1 - 0.75) / 250]
= 0.0274
The standard deviation of the sampling distribution of p is 0.0274.
15 - 9 + 2.65 + 1.35 + 3.48
6 + 2.65 + 1.35 + 3.48
8.65 + 1.35 + 3.48
10 + 3.48
13.48
Answer:
Step-by-step explanation:
The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as
H0 : µ ≤ 34
The alternative hypothesis would be
Ha : µ > 34
This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be
Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.
Answer:
There are total number of pet fish and reptile pets are .
Step-by-step explanation:
Number of pet fish are and the number of pet reptiles are .
It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :
So, there are total number of pet fish and reptile pets are .