Question

In: Math

1. Given: A 4-inch cube with all 6 faces painted is cut up into 64 1-inch...

1. Given: A 4-inch cube with all 6 faces painted is cut up into 64 1-inch cubes. A cube is picked at random. What is the probability that (a) It is unpainted: ________________________________ (b) It has at most 1 face painted: _________________________

Solutions

Expert Solution


Related Solutions

A large cube is painted on all six faces. It is then divided into 27 smaller,...
A large cube is painted on all six faces. It is then divided into 27 smaller, congruent cubes. a) Use a table and a histogram to show the probability distribution for the number of painted faces on a randomly selected cube. b) If you select 10 of the cubes at the same time, what is the probability that at least half of them will have two painted faces? c) If you select a cube 10 times, with replacement, what is...
A cube is painted on the outside, then cut into 27 equally sized pieces in a...
A cube is painted on the outside, then cut into 27 equally sized pieces in a 3^3 format. Let X = the total number of painted sides when the 27 pieces are put in a bag and two pieces are randomly selected. Find the probability mass function, the expected value, and the variance of X
diffusion experiment: my experiment was to cut an agar cube into 64 pieces and place it...
diffusion experiment: my experiment was to cut an agar cube into 64 pieces and place it into different volumes of water. we placed it into 200 mL ( slope of 24) , 600 mL (slope of 12) , and 800 mL (slope of 8). The slope is from the graph, its rate of diffusion graph from each volume. a. which had the largest affect on the rate of diffusion? b) Based on your experiments, discuss at least two adaptations that...
Each of the faces of a regular tetrahedron can be painted either black or white. Up...
Each of the faces of a regular tetrahedron can be painted either black or white. Up to rotation, how many ways can the tetrahedron be painted? Please provide all the necessary computations and explanations. (hint : idea of abstract algebra can be used)
A solid cylinder of 6 inch diameter and 4 inch high is compressed axisymmetrically to 2...
A solid cylinder of 6 inch diameter and 4 inch high is compressed axisymmetrically to 2 inch high. a) Calculate the final diameter of the product, the three orthogonal strains and the Von Mises strain. b) Estimate the maximum total force required for this operation. Assume: coefficient of fricition 0.2; Use Ludwik's Law to find the pressure at maximum axial strain; the strength coefficient of the workpiece: K is 147 ksi, strain hardening exponent is 0.17.
1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a...
1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a linear approximation or differentials to estimate f(4.04) b) Is your estimate in part (a) too large or too small? Explain. 2: a) Given f(x) = (x + 3)sinx, find f'(π) using logarithmic differentiation. b) Find the value of h'(0) if h(x)+xsin(h(x))= x2+4x-π/2
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 9. Event B: The sum is not...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 9 Event B: The sum is not...
Define the system, control volume, and control surface for a 4-foot, 6-inch diameter section of pipe....
Define the system, control volume, and control surface for a 4-foot, 6-inch diameter section of pipe. Is the system Lagrangian or Eulerian? Why?
Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1,...
Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1, 1),(2, 2),(3, 3),(4, 4),(5, 5),(6, 6),(1, 3),(1, 5),(2, 4),(3, 1),(3, 5), (4, 2),(5, 1),(5, 3)}. Is ∼ an equivalence relation? If yes, write down X/ ∼ .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT