Math Answers

find the area of the region in the first quadrant by bounded by the curve y=sqrt x^2+5, the x-axis and the line x=2

The circumference of the base of a right circular cone is 75 cm. Find its lateral area if the slant height is 20 cm.

The Head of the Math Department announced that the mean score of

Grade 9 students in the first periodic examination in Mathematics was 89 and

the standard deviation was 12. 0ne student, who believed that the mean

score was less than this, randomly selected 25 students and computed their

mean score. She obtained a mean score of 85. At a 0.01 level of significance,

test the student's beliefs.

4) Find each of the two areas bounded by the curves y=x³-4x and y = x² + 21.

 You are taking a test to see if you have supernatural abilities that involves a deck of five cards that each show one of five symbols (which we will call (A, B, C, D, E)). The cards are placed in a sequence so that each card appears exactly once; no repeats are allowed. Your job is to guess the correct sequence. (a) How many different sequences are possible? (b) What is the probability that you guess all five cards in the sequence correctly? (c) What is the probability that the letters AB occur consecutively and in that order some where in the sequence?

 You are taking a test to see if you have supernatural abilities that involves a deck of five cards that each show one of five symbols (which we will call (A, B, C, D, E)). The cards are placed in a sequence so that each card appears exactly once; no repeats are allowed. Your job is to guess the correct sequence. (a) How many different sequences are possible? (b) What is the probability that you guess all five cards in the sequence correctly? (c) What is the probability that the letters AB occur consecutively and in that order some where in the sequence?

Each time you visit the state fair, you play some games at the Midway. One game has four prizes (A, B, C, D). (a) How many different four letter sequences are possible if each letter is chosen from {A, B, C, D} with repeats allowed? (b) How many different four letter sequences have each letter occurring exactly once? (c) How many different four letter sequences don't contain B? (d) How many different four letter sequences have two letters, each of which occurs twice?

Each time you visit the state fair, you play some games at the Midway. One game has four prizes (A, B, C, D). (a) How many different four letter sequences are possible if each letter is chosen from {A, B, C, D} with repeats allowed? (b) How many different four letter sequences have each letter occurring exactly once? (c) How many different four letter sequences don't contain B? (d) How many different four letter sequences have two letters, each of which occurs twice?

Find the area bounded by the curve x=y²+2y and the line x=3.

Find the area of the region bounded by the curves X= Y³ and Y= X²