Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
3x-14=4x-9
-4x -4x
-x-14=-9
-14 -14
-x=-15
-x/-1=-15/-1
x=15
Sorry if this is a bit confusing, but I hope I helped
Answer:
50.24 ft^2
Step-by-step explanation:
Well formula for area of a circle is pi(radius)^2
so the radius is 4 so you square that it’ll be 16
then do 16(3.14)
you’ll get 50.24
8π²
2πr² is the equation to find the base, but the answer doesn't ask for the exact awsner, rather the expanded version. 4 is the radius, radius x 2 is 8.
8π²
Answer:
the answer is 22
Step-by-step explanation:
