When you have to repeatedly take the same test, with constant probability of succeeding/failing, you have to use Bernoulli's distribution. It states that, if you take
tests with "succeeding" probability
, and you want to "succeed" k of those n times, the probability is

In your case, you have n=18 (the number of tests), and p=0.3 (the probability of succeeding). We want to succeed between 8 and 12 times, which means choosing k=8,9,10,11, or 12. For example, the probability of succeeding 8 times is

you can plug the different values of k to get the probabilities of succeeding 9, 10, 11 and 12 times, and your final answer will be

Answer:
D
Step-by-step explanation:
Answer:
1.5, 3.4, 1.2
Step-by-step explanation:
Answer:
1. $2906.25
2. $406.25
Step-by-step explanation:
2500+ (3.25% of 2500) (5)
2500+ (81.25) (5)
2500+ $406.25
=2906.25
3.25% of 2500
=406.25
It seems like you've begun to group and factored out the GCF.
Because the inner binomials (the ones in parentheses) are the same, the next step is to rewrite the equation like so:
(25-x^2)(y+1)
From here, we can further factor (25-x^2) since they are both perfect squares.
(5+x)(5-x)(y+1)
No further terms can be factored so that is the final answer. Hope this helps!