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Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi
Dot Product- Vector The other topic for discussion is that of the dot product. Let us jump right into the definition of dot product. There is given that the two vectors a
which one is greater -4 4/25 or -4.12?
QUESTION (a) A bowl contains ten red balls and ten blue balls. A woman selects balls at random without looking at them. i) How many balls must she select to be sure of havin
a) Determine the distance traveled among t = 0 and t =∏/2 by a particle P(x, y) whose position at time t is given by Also check your result geometrically. (5) b) D
let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit
Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally. Construction: join OP and O 1 P . Proof : we know that if two circles touch each
Jay bought twenty-five $0.37 stamps. How much did he spend? To ?nd how much Jay spent, you must multiply the cost of each stamp ($0.37) through the number of stamps purchased (
If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans: Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12
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