Math Answers

How many seven-digit numbers with out repetition of digit are there such that the digit are all non-zero and 5 and 6 do not appear consecutively in either order ?

A population has a mean of 75 and a standard deviation of 17.4. A sample of 35 items is randomly selected from this population. What is the probability that the mean of this samples lies between 72 and 79? 

Two coin are tossed. Let T be the number of tails that occur. Determine the values of the random varibale T.

Which of the following sentences is a proposition whose truth value is T?

Select one:

a. x + 2 = 11

b. x + y = y + x for every pair of real numbers x and y

c. Answer this question carefully.

d. Manila is in Cagayan.

The probability that a person of a particular age will be alive 30 years hence is 0.25. An

Insurance Policy is bought by 6 persons of identical age and health conditions. Find the

probability that 30 years hence, of these 6 persons, what is the likely estimation that

i) Exactly three persons will be alive,

ii) No person will be alive.

Show that y=c1epower x +c2e power 2x is the general solution of y"-3y'+2y=0 on any interval and find the particular solution for which y(0) =1

Express v = t2+4t-3 in P(t) as a linear combination of the

polynomials p =t2−2t+5,p =2t2 −3tand p =t+1.

Using LMV, prove that log(1+x) > 2x/(1+x) , if x>0

A surveyor is measuring a river’s width. He uses a tree and a big rock that are on the edge of 

the river on opposite sides. After turning through an angle of 90° at the big rock, he walks 100 

meters away to his tent. He finds the angle from his walking path to the tree on the opposite side 

to be 25°. What is the width of the river?

Suppose a population has a mean of 180 with a standard deviation of 30 pounds. Find the standard deviation of the sampling distribution of the sample means for sample size of 450