Math Answers

The approximate speed at which a tsunami can travel is given by the formula S=Root9.8d, where S is the speed of the tsunami in metres per second, and D is the depth of the water in metrers. A tsunami is travelling at 36m/s. What is the mean depth of water to the nearest metre

Find the probability function corresponding to the random variable x when a coin is tossed twice: assuming that the coins is fair?

if we draw 7 cards from a standard 52 card deck, what is the probability that all 7 cards are hearts?

Find the principal axis, vertex, focus, directrix, endpoints of the focal width and length of the focal width, and sketch the graph of the following:

1. -(x + 5)^2 = y

2. (y - 8)^2 = 24(x + 1)

3. 4x - y^2 = 0

Draw the truth tables of Conjunction, disjunction and Biconditional
statements.

if dx
dy
y e cos x sin x find ax 3 2 

Find the Taylors expansion of f(x) = Sin x at x = 0.

p can complete a task in x days while q takes x+12days to do the same task.
A) what fraction of the task can each of them complete in a day.
B) if both of them work together,they can complete the task in 8days.find x

Suppose that a shop has N boxes of chocolates, which will expire in a week’s time. The chocolates are priced at $4 per box. The shop owner is wondering if he should offer a 25% discount and price these chocolates at $3 instead. The probability of selling D boxes of chocolates in a week depends on the price as follows: $4:
P(D=1) = 0.5 P(D=2) = 0.4 P(D=3) = 0.1 $3: P(D=1) = 0.25 P(D=2) = 0.25 P(D=3) = 0.5
Determine the values of N where the shop owner should price the chocolates at $4 and $3, respectively.