Answer:
E
Step-by-step explanation:
19) Amount of oil in = amount of oil in final product
.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)
x = 21.54 L of 2.5 % then 9% = 18.46 L
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:

Compute the probability of <em>X</em> = 2 as follows:

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Answer:
a(n) = -2 + 8(n - 1)
Step-by-step explanation:
General formula is a(n) = a(1) + d(n - 1), where d is the common difference.
Here a(n) = -2 + 8(n - 1)