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1- Given a unit line segment AB (2 cm) construct a segment of length (1+Sqrt[5])/2
2- Given the unit segment above and construct a segment of length Sqrt[2/3]
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
Probability : Counting Principle, A social security number has 9 digits. How many different S.S numbers are possible if:
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
Find the product of all the three zero of the second polynomial
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m.
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
Discrete Probabilities - Expected Value of a Distribution. What is the expected value of a distribution and is it a reasonable number to use to describe a population with?
Describe two main differences between classical and empirical probabilities. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than t..
Suppose that a pair of 20-sided dice are rolled (the sides are numbered 1-20). What is the probability that the sum of the dice is 13?
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000 please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of sh..
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