Answer:
n=3p
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
there are two terms which means it is a binomial algebraic expression
Step-by-step explanation:
the first term is -9
and the second term is 5.5
note:be aware that the negative sign is there in the first term and the reason that we didn't put the negative sign in the second is because there is no negative sign before 5.5 .
Step-by-step explanation:
8.9x-5 and -6.8x+8
8.9-6.8 + -5+8
2.1x+3
16) yes, they are reflections on a summit.
17) no parallelogram shown to answer question <span />
Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:
![p^{m}](https://tex.z-dn.net/?f=%20p%5E%7Bm%7D%20)
![0.8^{20} = 1.15\%](https://tex.z-dn.net/?f=%200.8%5E%7B20%7D%20%3D%201.15%5C%25%20)
This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:
![\binom{n}{k} * p^{k} * (1-p)^{n-k}](https://tex.z-dn.net/?f=%20%5Cbinom%7Bn%7D%7Bk%7D%20%2A%20p%5E%7Bk%7D%20%2A%20%281-p%29%5E%7Bn-k%7D%20)
n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).
![\binom{n}{k} = \frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=%20%5Cbinom%7Bn%7D%7Bk%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%20)
therefore, for this questions we have:
![\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%21%7D%7B20%21%2820-20%29%21%7D%20%2A%200.8%5E%7B20%7D%20%2A%20%281-0.8%29%5E%7B0%7D%20%3D%201.15%5C%25%20)