Answer:
The mean for the sampling distribution of the sample proportion is 0.29
The standard deviation for the sampling distribution of the sample proportion is 0.01435
Step-by-step explanation:
The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29
The standard deviation for the sampling distribution of the sample proportion is calculated as;
Using the given values;
p = 0.29
1 - p = 0.71
n = 1000
The standard deviation becomes;
The s.d becomes 0.01435
Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Answer:
The answer to your question is A = 200.96 u²
Step-by-step explanation:
Data
Radius A = 6
Radius B = 2
π = 3.14
Area = ?
Formula
Area = πr²
Process
1.- Calculate the radius of the large circle
Radius = radius of circle A + radius of circle B
Radius = 6 + 2
Radius = 8
2.- Substitute in the formula
Area = (3.14)(8)²
Area = 3.14(64)
Area = 200.96 u²
Answer:
trump is trustworthy and he is honest so yes he is what we need
Step-by-step explanation:
