Answer:
C.I = 0.7608 ≤ p ≤ 0.8392
Step-by-step explanation:
Given that:
Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama
probability 
= 0.8
Level of significance ∝ = 100 -95%
= 5%
= 0.05
The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.
The confidence internal can be computed as:
where;
= 
= 1.960
SO;
= 0.8 - 0.0392 OR 0.8 + 0.0392
= 0.7608 OR 0.8392
Thus; C.I = 0.7608 ≤ p ≤ 0.8392
Answer:
1/32
Step-by-step explanation:
This could be written as 
1/2 x 1/2 x 1/2 x 1/2 x 1/2
= 1/32, or 0.03125.
Let x= number rows
Then x + 5 = number of seats per row
x(x+5) = 126
X^2 + 5x = 126
x^2 + 5x -126 = 0; now factor or use quadratic:
(x+14)(x-9) = 0; so the answers are either -14, or 9, and since -14 is not possible in this case because you can't have a negative number of rows, the answer is 9 rows.
Check work: number of rows = 9, number of seats per row = 9+ 5= 14, and 9 x 14 = 126
Answer:
x=-11
Step-by-step explanation:
Divide both sides by -7, and you get -11
Answer:
A=42.5
Step-by-step explanation:
First you split this shape into a square and a triangle.
The area of the square is 5✖️5=25.
Then, there is a triangle left.
We do not know about the hypotenuse, but the sides are 5 and 7.
5✖️7=35/2<-- because it is a triangle. =17.5
You add both areas, and you get the total of 42.5.
Hope this helps!
