We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
63+12x<15
12x<-48 (subtract 63 from both sides)
x<-4 (divide out the 12)
We are trying to find miles/hour, which shows that we are going to be dividing the total number of miles by the total number of hours. Thus, in this case, the miles/hour rate will be:
He drove 40 miles in one hour.
Two thousand dollars is invested at 5.5 percent interest compounded
quarterly for 2 years. Then the amount is $ 2230.88
<u>Solution:</u>
Given that Two thousand dollars is invested at 5.5 percent interest compounded quarterly for 2 years
<em><u>The formula for amount using compounded quarterly is given as</u></em>:
Where, "p" is the principal sum
"R" is the rate of interest
"T" is the number of years
Here in this problem,
P = 2000 ; R = 5.5 ; T = 2 years
Plugging in values in formula we get,
On solving we get,
Hence the amount is $ 2230.88
Answer:
False
Step-by-step explanation:
for a rational number expressed as (A / B) where A & B are integers
if the numerator (A) is zero, then (A/B) is simplify zero
i.e (A / B) = (0 / B) = 0
however if the denominator (B) is zero, then by definition any value divided by zero is undefined.
(A / B) = (A / 0) = {undefined}
