Answer:
Binomial probability
![P(X = 20) = C_{125,20}.(0.025)^{20}.(0.975)^{95}](https://tex.z-dn.net/?f=P%28X%20%3D%2020%29%20%3D%20C_%7B125%2C20%7D.%280.025%29%5E%7B20%7D.%280.975%29%5E%7B95%7D)
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either they fail, or they do not. The probability of a computer failing is independent from the probability of other computers failing. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
In this problem we have that:
![n = 125, p = 0.025](https://tex.z-dn.net/?f=n%20%3D%20125%2C%20p%20%3D%200.025)
To find the probability that exactly 20 of the computers will require repair on a given day, one will use what type of probability distribution
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 20) = C_{125,20}.(0.025)^{20}.(0.975)^{95}](https://tex.z-dn.net/?f=P%28X%20%3D%2020%29%20%3D%20C_%7B125%2C20%7D.%280.025%29%5E%7B20%7D.%280.975%29%5E%7B95%7D)
Answer: 25x² - 64
<u>Step-by-step explanation:</u>
(5x + 8)(5x - 8)
= 5x(5x - 8) + 8(5x - 8)
= 25x² - 40x + 40x - 64
= 25x² + 0x - 64
= ![\large\boxed{25x^2-64}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B25x%5E2-64%7D)
NOTE: descending powers means the biggest exponent goes first, then the next biggest exponent, etc.
For example: x⁴ then x³ then x² then x then the number (which is actually x⁰)
Answer:
z the N emotionalism
Step-by-step explanation:
The compensation condescension c'mon vegetarianism
Answer:
Cost of car including VAT = $17,700
Step-by-step explanation:
Given:
Cost of car without VAT = $15,000
Rate of VAT = 18%
Find:
Cost of car including VAT
Computation:
Cost of VAT = Cost of car without VAT x Rate of VAT
Cost of VAT = 15,000 x 18%
Cost of VAT = 15,000 x 18
Cost of VAT = $2,700
Cost of car including VAT = Cost of car without VAT + Cost of VAT
Cost of car including VAT = 15.000 + 2700
Cost of car including VAT = $17,700
Answer:
$80?
Step-by-step explanation:
I hope its right