Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as

The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8






Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
Answer:
It would be 12.
Step-by-step explanation:
420 is the least common multiple for 21, 28, 35
Answer: On the 29th day
Step-by-step explanation:
According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.
On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.
The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are
lilypads on the 30th, and
lilypads on the 29th. This can be deduced multiplying succesively by 2.
Hey there!!
Multiply both the sides with 4/3.
Then we get
x = 5 ^ 4/3
x = 8.5 ( avg. )
Hope it helps!