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Let M_5(IR) denote the vector space consisting of all 5 X 5 matrices with real entries over the real number field and W C M_5(IR) be the subspace of all skew symmetric matrices. Then find the dimension of W.
Find the probability that the first randomly taken candy will be red and second will be red again.
A rectangular garden plot has dimensions of 15 ft. by 12 ft. A uniform path around the garden increases the total area to 270 sq. ft. What is the width of the larger rectangle?
The price of a home is $167,000. The bank requires a 20% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed-rate mortgage at 8%. What is the monthly payment (excluding escrowed taxes and ins..
The region bounded by y = 0 and y = kx - x2 is revolved around the y-axis to form a solid whose volume is 10. What are the exact possible values of k?
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
Find the angle between the diagonal of a cube of side length 19 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians.
If the number sold of franchise A is twice the number sold of franchise C, how many of each type did the company sell that year?
Assuming absolute PPP holds, what is the cost in the United States of an Elkhead beer if the price in Canada is Can $2.55? (Round your answer to 3 decimal places.
from a balloon 1106 ft high the angle of depression to the ranger headquarters is 66 degrees 43. how far is teh
Determining the number of solutions of a system by finding the slope and the y intercept of a graph of each line in the system of equations?
Consider the parametric equations x = 3t, y = t, and x = 6t, y = 2t. What curves do the two sets of equations describe? Compare and contrast the motions for the two sets of parametric equations by interpreting each set as describing the motion of a ..
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
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