Answer:
Design 3: An SRS of size 3000 from a population of size 300,000,000
Step-by-step explanation:
To check the SRS designs will give the most precision (smallest standard error) for estimating a population mean, we'll make use of the following formula:
V(y) = S²/n( 1 - n/N)
Where S² is a constant for the three SRS designs
Check the first design
n = 400
N = 4000
So, V(y) = S²/400 (1 - 400/4000)
V(y) = S²/400(1 - 0.1)
V(y) = 0.0025S²(0.9)
V(y) = 0.00225S²
V(y) = 2.25S²E-3
The second design
n = 30
N = 300
So, V(y) = S²/30 (1 - 30/300)
V(y) = S²/30(1 - 0.1)
V(y) = S²/30(0.9)
V(y) = 0.03S²
V(y) = 3S²E-2
The third design
n = 3,000
N = 300,000,000
So, V(y) = S²/3,000 (1 - 3,000/300,000,000)
V(y) = S²/3,000(1 - 0.00001)
V(y) = S²/3,000(0.99999)
V(y) = 0.00033333
V(y) = 3.33S²E-4
Answer:
x = 2-7y over 4
Step-by-step explanation:
4x+7y=2
-7y -7y
4x = 2 - 7y
/4 /4
x=2 - 7y/4
Answer:
y intercept = 5
Step-by-step explanation:
f(x)=5•(1/6)^x
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)^0
= 5* 1 = 5
The y intercept is 5
If the question is
f(x)=5•(1/6)x
although I have never seen the question written this way
The y intercept is when x =0
Let x =0
f(0)=5•(1/6)0
= 5* 0 = 0
The y intercept is 0
Xy=30
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
The Correct Answer Is...
<u><em>5/8!</em></u>
Any Questions? Comment Below!
<u><em>-AnonymousGiantsFan</em></u>
