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Evaluate 2000C2 + 2000C5 + 2000C8 + ... + 2000C29.

6 years 9 months ago

According to the theory of genetics a certain cross of guinea pigs will result in red, black and white offspring in the ratio 8:4:4. Find the probability that among 8 such offspring 5 will be red, 2 black and 1 white.

6 years 9 months ago

A student goes to the library. The probability that she checks out (a) a work of fiction is 0.40, (b) a work of non-fiction is 0.30, and (c) both fiction and non-fiction is 0.20. What is the probability that the student checks out a work of fiction, non-f

6 years 9 months ago

An urn contains 6 red marbles and 4 black marbles. Two marbles are drawn without replacement from the urn. What is the probability that both of the marbles are black?

6 years 9 months ago

The drainage from a community during a storm is a normal random variable estimated to have a mean of 1.2 million gallons per day (mgd) and a standard deviation of 0.4 mgd.

6 years 9 months ago

In the CE Board examinations, the probability that an examinee will pass in each subject is 0.80. What is the probability that the examinee will pass at least two subject?

6 years 9 months ago

Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.

6 years 9 months ago

A three-man jury has two members each of whom independently has a probability p of making the correct decision and a third member who flips a coin for each decision (majority rules).

6 years 9 months ago

In a gambling game a man is paid \$50 if he gets all heads or all tails when 3 coins are tossed, and he pays out \$30 if either 1 or 2 heads show. What is his expected gain?

6 years 9 months ago

An airline company known for its promo fare receives on an average 9.7 complaints per day. Using Poisson probability distribution formula, find the probability that on a certain day this airline company will receive exactly 8 complaints.

6 years 9 months ago

Quiz: Random Problems Set 7

6 years 9 months ago

Going against the wind, a domestic plane can travel 5/8 of the distance it can travel in one hour if it is going with the wind. If the plane can fly 300 kilometers an hour in calm air, what is the velocity of the wind?

6 years 9 months ago

A can do a job 50% faster than B and 20% faster than C. Working altogether, they can finish the job in 4 days. How many days will it take A to finish the job if he works alone?

6 years 9 months ago

If $f(x) = \left( 3\sqrt{x} - 4 \right)^2$, then how much does $f(x)$ increase as x goes from 2 to 3?

6 years 9 months ago

A sum of money amounting to P5.15 consists of 10 cents and 25 cents. If there are 32 coins in all, how many 25 cents are there?

6 years 9 months ago

CPM factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?

6 years 9 months ago

Maria is 36 years old. Maria was twice as old as Anna was when Maria was as old as Anna is now. How old is Ana now?

6 years 9 months ago

Given that w varies directly as the product of x and y and inversely as the square of z and that w = 4 when x = 2, y = 6, and z = 3. Find the value of w when x = 1, y = 4, and z = 2.

6 years 9 months ago

In a survey concerning the smoking habits of consumer it was found that 55% smoke cigarette A, 50% smoke cigarette B, 40% smoke cigarette C...

6 years 9 months ago

How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?

6 years 9 months ago

What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45° for the second time?

6 years 9 months ago

A tugboat traveling at 40 kph leaves port at 4 PM carrying off some contraband goods. A patrol boat assigned to stop the goods leaves the same post an hour later and drove at 90 kph. What time will the patrol boat overtake the tugboat?

6 years 9 months ago

Car A drives East at 20 kph at half an hour earlier than car B that started at the same point at 50 kph. How long will car B overtake car A, in minutes?

6 years 9 months ago

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

6 years 9 months ago

Solve for C from the Partial Fraction

6 years 9 months ago

Find d so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + dx + 108.

6 years 9 months ago

A student in a chemistry laboratory wants to form a 32-milliliter mixture of two solutions to contain 30% acid. Solution A contains 42% acid and solution B contains 18% acid. How many milliliters of each solution must be used?

6 years 9 months ago

If 1/4 of a mixture of rice and corn was replaced by corn alone, the resulting mixture becomes 55% corn. What was the percentage of corn in the original mixture?

6 years 9 months ago

Three boys and two girls are to be picked from a class of 15 in which 9 are girls. How many ways can this be done?

6 years 9 months ago

Quiz: Random Problems Set 6

6 years 9 months ago

Differential equation: $(x+2y-1)dx-(x+2y-5)dy=0$

6 years 9 months ago

Differential equation

6 years 9 months ago

Work problems

6 years 9 months ago

Constant Area of Triangle ABC

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Circle

6 years 10 months ago

Will you please be more specific in doing with calculations

6 years 10 months ago

Stresses of Hollow Circular Tube Used as a Pole

7 years 1 month ago

Hollow Circular Beam with Known Cracking Moment

7 years 2 months ago

Centripetal Force of a Ball Revolving Uniformly in a Horizontal Circle

7 years 6 months ago

Sum of Areas of Infinite Number of Squares

7 years 6 months ago

Radius of Circle of New Atom Smasher

7 years 6 months ago

Sum of Areas of Equilateral Triangles Inscribed in Circles

7 years 6 months ago

Time After 7:00 O'clock When The Minute & Hour Hands Of The Clock Are Together

7 years 6 months ago

Ratio of Volume of Water to Volume of Conical Tank

7 years 6 months ago

Finding The Length Of Parabolic Curve Given Change In Grade Per Station

7 years 6 months ago