Combinatorics - math word problems - page 52 of 57
Number of problems found: 1135
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Distribution function
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Student math probability
There are 25 students in the class, 12 of whom are not ready for math. There are five students in the math class. What is the probability of at least 3 being math-ready? - Lifetime - bell curve
Laser lifetime follows a normal distribution with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that the laser will fail before 6000 hours? What is the probability that the laser will last at least 7500 hours? - Bulbs
A box contains 16 bulbs of 75 W, 14 bulbs of 40 W, and 10 bulbs of 50 W. Calculate the probability that a randomly selected bulb is: a) 40 W b) 75 W or 40 W - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times as many as the given points? - Garden centre
A garden centre sells seedlings of not yet bloomed roses. From long-term experience it is known that 91% of these seedlings bloom red, but the remaining seedlings do not bloom at all. The average lifespan of a seedling is 36 hours. The roses are sold in b - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - A math
A math teacher teaches Geometry and Precalculus. 37% of students take both math classes, and only 39% take just Geometry. What is the probability that a student will attend Precalculus given that they attended Geometry? What is the percentage of students - Dice coin probability
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - Wooden
A wooden cube with an edge of 12 cm is painted with red paint. After the paint dries, the cube is cut into small cubes with an edge of 2 cm. Write how many small cubes will have exactly two red faces. - Plane count
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Number divisibility probability
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - Paper example creation
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter? - Drug effectiveness probability
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients? - Suppose 4
Suppose that 14% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be - Electricity
Many companies providing public utility services promote energy saving by offering discount rates for consumers who keep their energy consumption below certain set standards. A recent EPA report states that 70% of the inhabitants of a monitored region red - Yarhands
Yarhands Statistical Consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the NPP winning the election in Ghana's Volta region. The research reveals that 15% of inhabitants in the Volta region favor the - Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Grade point average
The average GPA is 2.78, with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students have the following GPAs? Solve for the z-score and report the appropriate percentage: a. Less than 2.30 b. Less than 2.00 c. More t
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
