Answer:
24
Step-by-step explanation:
To solve this you must find the LCM of 8 and 6
Which is 24
Answer:
(328i + 82) / 17
Step-by-step explanation:
`(2i(4+5i)(4-5i))/(4+i)
= (2i(16 - 25i^2)) / (4 + i)
= (2i( 16 + 25) )) / (4 + 1) [Note:- i^2 = -1]
= 82i / (4 + i)
= 82i(4 - i) / (4 + i)(4 - 1)
= 328i + 82 / (16 - i^2)
= (328i + 82) / 17
Answer:
y=2x-6
Step-by-step explanation:
Answer:
The variance for the number of correct answers is 2.8 questions
Step-by-step explanation:
The number of correct answers follows binomial distribution, in which we have:
- n identical and independents events: the 15 questions
- two possibles results that we call success and fail: The answer is correct and the answer is incorrect
- probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.
So, the variance for a variable x that follows a Binomial distributions is:
V(x)=n*p*(1-p)
Then, the variance for the number of correct answers is:
V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8
Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.
