Math Answers

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron's total charge, in dollars, for staying x nights?

Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

What amount of money invested today at 3.54% compounded semiannually will have an accumulated value of $551,000 in 7 years from now. Round all answers to two decimal places if necessary.

Define partition

To compare the results of boys and girls in a class, a special test was given to 50 boys who averaged 67.4 with Standard deviation of 5, and 50 girls averaged 62.8 with Standard deviation of 4.6.

a) Test, at alpha=0.05, whether the difference is significant or not.

b) Test if the difference is 3.0.

Comsider the example of the number of languages spoken by Filipino school children. Define x to be the number of languages in which a randomly chosen Filipino child attending school can hold an everyday conversation. Assume the probability function of X, P(x), is as shown in the following table.

X - 1 2 3 4 5 6

P(x) - 0.663, 0.226, 0.066, 0.019, 0.004

a. What is the mean of X?

b. Find the variance of X.

c.Find the standard deviation of X.

Julia and Tony play the hand game rock-paper-scissors. Assume that, at each play they make their choices with equal probability 1/3 for each three moves, independently of any previous play.

a. On any single olay what is yhw chance of a tie?

b. What is the chance that Jula wins at the first play?

Let Random variable X-rock

The probability distribution is shown below

X - 0 1 2

Frequency (f) - 4 4 1

P(X)- 4/9 4/9 1/9

c. Find P(x=1)

d. Find P(x > 1)

Does the sequence 3+ (-1)^n converge to 2. Justify

Prove that the sequence {an/n} is convergent where { an} is a bounded sequence