Math Answers

Sketch the graph of f(x)=|x| where x belongs to R, state it domain and range.

Let f: R->R be defined by f(x)=x²+2 where R is the set of real numbers

(i) find the domain and range of f

(ii) is f one-to-one or onto ?

form the partial equation by eliminating the function f from z=f(y/x)

A baseball player is running from the second base to the third base at 20ft/sec. At what rate is his

distance from the home plate changing when he is 30ft from the third base. The baseball diamond

is a square 90ft on aside.

Ten cartoons are taken at random from an automatic filling machine. The mean net weight of the 10 cartoons is 11.8 kg and standard deviation is 0.15 kg. Does the sample mean differ significantly from the intend weight of 12 kg. Use 5% level of significance.

Let Q(x, y) be the statement “x + y = x − y.” If the domain for both variables consists of all integers, what are the truth values? 

PROBLEM B: In the national achievement test, a school had a total mean of 59 with a standard deviation of 7. If 40 students who took the test are selected at random, what is the probability that the mean of their scores fall between 59 and 60?

At cryptobank a $100,000 loan for one year has a quoted interest rate of 10.50% payable annually but with a compensating balance of 20%. At Mo bank a $100,000 discount loan has a quoted interest rate of 7.90%payable annually. The loan at Mo bank is _____ per year cheaper than at cryptobank

The Grade 11 students of Capiz National High School took a 100 item Statistics exam. The scores fit the normal distribution with a mean of 75 and a standard deviation of 10. What is the percentage of students that got a score of 80 to 85?

. Prove that if n is a perfect square, then n + 2 is not a

perfect square.