Answer:
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.
Sample proportion
<u><em>Step(ii)</em></u>
The 95% confidence interval estimate of the proportion of people who say that they voted


(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)
(0.6996 - 0.02838 , 0.6996 + 0.02838)
(0.67122 , 0.72798)
<u><em>Final answer</em></u>:-
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
Answer:
n = 6
Step-by-step explanation:
n - 10= 5/6n - 7 - 1/3n
n - 10 = 15/18n - 7 - 6/18n
n - 10 = 9/18n - 7
18/18n - 10 = 9/18n - 7
9/18n = 3
1/2n = 3
n = 6
Answer:
b - 8
Step-by-step explanation:
-2b - 6 +3b -2
re arranging
-2b + 3b -6 -2
b - 8
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.