Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:
Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:
Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:
Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:
Hence, the actual sample size is smaller for a known proportion from prior a prior study.
If period of
is one-half the period of
and
<span>
has a period of 2π, then
and
.
</span>
To find the period of sine function
we use the rule
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then
, because
.
To find a we consider the condition
, from where
.
If the amplitude of
is twice the amplitude of
, then
has a product factor twice smaller than
and while period of
<span> </span> is 2π and g(0)=0, we can write
.
Answer:
x = ± 4
Step-by-step explanation:
given 3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± 
= ± 4
x ∈ {- 4, 4 }
Answer:
311
Step-by-step explanation:
280 + 31 = 311
There are 80.5 tens in 805
