Answer5:
Step-by-step explanation:
Answer:
All quadrilaterals are squares. All rectangles are quadrilaterals.
All quadrilaterals are parallelograms.
Step-by-step explanation:
Answer:
1. 68/89
2. 46/267
Step-by-step explanation:
1. The total number of people in drama or athletics can be found by adding up all categories where a person fits at least one of the criteria:
51+11+12+15+108+7=204
Now we need to add up the total number of people in all categories:
51+11+12+15+108+7+63=267
Finally, we divide the total number of people in either drama or athletics by the total number of people in all categories:
204/267 = 68/89
2. The total number of people in athletics and drama can be found by adding up all categories where a person fits both criteria:
15+12=27
The total number of people in music and athletics can be found by adding up all categories where a person fits both criteria:
7+12=19
Now, we add both of these numbers together and put it all over the total number of people:
27+19=46
46/267
I would have to say false because they do not have the same perimeter and area
Answer:
a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
b) 
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 = 7 - 1 = 6
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.4469, and the answer to question b is 
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.
The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.
The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.