Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
, where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: 
Hence, we need to survey 2285 Americans.
Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²
Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².
Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²
To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157
The area of shaded region is 157 cm²
Step-by-step explanation:
1. 2(d+9)
2(8+9)
2(17)
=34
2. d÷4
8÷4
=2
3. ef÷4
(3×4)÷4
12÷4
=3
4. 4f+d
(4×4)+8
16+8 =24
5. (5d-25)÷5
((5×8)-25)÷5
(40-25)÷5
15÷5 = 3
6. d2+7
(8×8) +7
64+7
=71
Equaling the equations, it is found that the cars hit each other at: (-1,-4) and (1,-6).
---------------------------------
For the first car, we have that:
Thus:
---------------------------------
For the second car:
---------------------------------
They meet at the the values of x for which:
Thus:
- When
, they meet at 
- When
, they meet at 
Thus (-1,-4) and (1,-6).
A similar problem is given at brainly.com/question/13308311
Answer:
D
Step-by-step explanation:
Only D is positive.
-v -2
----- = ----- = +2
-w -1
