Answer:
Step-by-step explanation:
Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square
EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.
EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.
Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
Since <em>x</em> is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2. Now we use that in our function,

.

There will be 220 foxes after 28 years.
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3
Since the denominators are the same, we subtract the numerators
1/3