Math Answers

Find the general solution of

(y-xu)p+(x+yu)q=x²+y²

Suppose a random variable is normally distributed. The probabilities for a85 and 142 are 10% and 65%, respectively. Find the mean and standard deviation to the nearest whole number.

Consider the nonhomogeneous linear recurrence relation an = 3an−1 + 2^n. Show

that a^n = – 2^(n+1) is a solution of this recurrence relation.

Suppose that a trainee soldier shoots a target in an independent manner. If the probability that the

target is hit on any one shot is 0.8, what is the probability that the target would be hit

i. on the sixth attempt

ii. in fewer than 5 shots

iii. in even number of shots

Suppose a random variable is normally distributed. The probabilities for a85 and 142 are 10% and 65%, respectively. Find the mean and standard deviation to the nearest whole number.

A unitörm distribution has a mean oft and Variance 4/3. Find P(Xe0).

Suppose a random variable is normally distributed. The probabilities for a85 and 142 are 10% and 65%, respectively. Find the mean and standard deviation to the nearest whole number.

Suppose that G is a connected multigraph with 2k vertices of odd degree. Show that there exist k subgraphs that have G as their union, where each of these subgraphs has a Euler path and where no two of these subgraphs have an edge in common.

Find the equation of line which bisects the join of (2,-5) and (6,3) and bisects the join of (-1.1) and (-5,7)

1. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W

bulbs.

i. Suppose that three bulbs are randomly selected. What is the probability that exactly

two of the selected bulbs are rated 75 W?

ii. If two bulbs are randomly selected from the box of lightbulbs and at least one of them

is found to be rated 75 W, what is the probability that both of them are 75-W bulbs?

iii. Given that at least one of the two selected is not rated 75 W, what is the probability

that both selected bulbs have the same rating?