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Let G be a graph with p vertices and p-1 edges.
Prove that G is a tree iff any p-1 rows of the incidence matrix are linearly independent over Z/(2) (integers modulo 2).
Using the Quotient rule, find the gradient of the function:
Confident that the population mean weight loss, , of this exercise program is between 1.28 pounds and 20.72 pounds. How Do We Choose the Sample Size for a Study? (e) Which confidence interval is wider?
a bike is on a stand such that the highest point of the back wheel is 47 inches above the ground. if the pedal is
If I have a 10,000 death benefit at work that is left on deposit for 7 years at an annual interest rate of 5%. The balance after 7 years is what? and then is going to be paid out in 120 equal payments.
The area of a rectangular wall of a barn is 28 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn. width = ? feet
In a survey of 122 customers connected in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B and 46 buy both brands. How many consumers participating in the survey buy only brand A?
In a box there are 7 red spheres and 12 blue spheres. 2 spheres are taken without return. If the third sphere is red, what is the probability that 2 first spheres are blue ?
Around January 1, 1993, Barbara Streisand signed a recording contract with Sony Corporation for $2 million each year for 10 years. Suppose the first payment of $2 million was made on the day of signing the deal and all other payments to her were
Calculate the mean of the sample means and compare it to the population mean.
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest poin..
Find the amount of the winning bid if there were 7 bidders.
How much energy is needed to pump all the water to the top of the tank? How much energy is needed to pump all the water to a point 3 m above the top of the tank?
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