Math Answers

Records show that in a certain hospital the distribution of the “length of stay” of its patients is normal with a mean of 10.5 days and a standard deviation of 2 days. a. What percentage of the patients stayed 8 days? b. What is the probability that a patient stays in the hospital between 9 and 11 days? 

An object travels in a circular path and stops at a particular point. If the object generates an angle of 900°, how many revolutions does the object travelled from the starting point to the terminal point?

In how many ways can the committee of 4 women and 2 men can be selected from a group of 10 women and 5 men If there are no restriction?

Given

u=rcos(wt)i+rsin(wt)j where r and w are constants, obtain the speed of the movement

For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ x 2 − 25}. 

1. f : R → R defined by f(x) = 3x³.

2. g : R + → R defined by g(x) = ln(x).

3. h : R → R defined by h(x) = x − 9.

reduce the equation

∇²ψ + [k² + f(ρ) + (1/ρ²)g(φ) + h(z)]ψ = 0

to a set of ODEs by the method of separation of variables.

The price of tickets varies depending on the seat location in the Stadium. These seats are color-coded on a diagram so that the single cashier can show purchasers the diagram, have them decide on their seat, & pay for their ticket. The cashier can complete a transaction (selling a ticket) in 2 minutes. 4 Ticket purchasers arrive at the single cashier booth every 10 minutes. Arrivals follow a Poisson distribution while service time follows an exponential distribution.

1. What is the Utilization rate of the ticket sale process?
2. Determine the average number of persons in the line.
3. How long does it take from the time a person joins the line to when they get their ticket?
4. What is the average time a person spends in the line?
5. What is the probability that there is no line?
6. What is the probability that there is 1 person at the cashier & 2 persons waiting in line?

A couple buys a $150,000 home, with a down payment of 22%.The couple finances it for 15 years at an annual rate of 3%. What is the monthly payment

a survey of 1000 women ages 20 to 30 found that their heights were normally distributed, with the mean of 65 inches and a standard deviation of 2.5 inches. how many of the women have a height that is between 60 inches and 70 inches?

Two ships A and B sail simultaneously from the same place. vessel A on course 300at 15 knots and B on course N 45°E at 10 knots. How many Nautical Miles sailed by vessel A at the end of 1 hr. & 30 mins.?