Current population = 500,000
Populaton is
500,000 * (1.0375) after 1 year
500,000 * (1.0375)² after 2 years
...
500,000 * (1.0375)ˣ after x years
Therefore when the population reaches a million,
500,000 * (1.0375)ˣ = 1,000,000
1.0375ˣ = 2
x ln(1.0375) = ln(2)
x = ln(2) / ln(1.0375) = 18.83 years
Answer: 18.8 years, or approximately 19 years.
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
55/100 x 210 = 115.5kg were sold in a week
210-115.5=94.5kg left unsold
So if Amy and Thea are 2 people that means that the 1 in the equation is 2 people so you are just going to go 4x2=8 so your answer is 8 midfielders
Answer:
14x + 7 = 30
Step-by-step explanation:
Given
7y + 6 = 36 and y = 2x + 1
substitute y = 2x + 1 into 7y + 6 = 36 , that is
7(2x + 1) + 6 = 36 ( subtract 6 from both sides )
7(2x + 1) = 30 ← distribute parenthesis on left side by 7
14x + 7 = 30
