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
Answer:
x= -5-
/4, - 5+/4
Step-by-step explanation:
solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula (the full thing under "answer:" is the exact answer
Answer:3600 Step-by-step explanation:
Answer:
There are 7 chairs in each row.
Step-by-step explanation:
Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.
Let us assume that there are P numbers of chairs and there are x chairs in each row.
Therefore, we can write that
6x + 3 = P ....... (1) and
8x = P + 11
⇒ 8x - 11 = P ........ (2)
Now, from equations (1) and (2) we get,
6x + 3 = 8x - 11
⇒ 2x = 14
⇒ x = 7
Therefore, there are 7 chairs in each row. (Answer)
-2x-11 is equivalent to 3x-4-(5x+7)
