N = population size
n = sample size
sigma = population standard deviation
xbar = sample mean
SE = standard error
fpc = finite population correction
In this case,
N = 200
n = 49
sigma = 14
xbar = 56
Since n/N = 49/200 = 0.245 is larger than 0.05, this means we must use a finite population correction factor. I'll use fpc in place of 'finite population correction'.
If we ignore the fpc, then the SE would be simply sigma/sqrt(n) = 14/sqrt(49) = 2.
However we cannot ignore the fpc. We must use it due to the fact that n/N > 0.05.
--------------------------
Let's compute the fpc factor
fpc = sqrt((N-n)/(N-1))
fpc = sqrt((200-49)/(200-1))
fpc = 0.87108780834612
--------------------------
With the fpc factor, we'll have the true SE to be SE = fpc*sigma/sqrt(n) = 0.87108780834612*14/sqrt(49) = 1.74217561669224
The final answer, accurate to 6 decimal places, is therefore 1.742176
Answer:
<u>4</u>
Step-by-step explanation:
<u>Given :-</u>
p = 6
q = 5
√(p² - 4q)
<u>To Find :-</u>
Value of expression after evaluation
<u>Solving :-</u>
= √(6)² - 4(5)
= √36 - 20
= √16
= 4
<u>Solution :-</u>
<u>4</u>
Mixed numbers are fractions with a whole number.
For example, 1 2/4, 2/8, and 7 7/8 are mixed numbers.
Hope it helps
Since they are FEWER than 30 total cones, the sum of x small cones and y large one must be LESS THAN 30: x+y <30
He needs AT LEAST a dozen (12), so that means that 12 will work or more than 12:
Answer:
A.AB
Step-by-step explanation: