Vectors
The magnitude of the vector <25, -27> to the nearest hundredth.
What is 36.80?
There are 5 blue marbles, 2 red marbles and 7 yellow marbles in a bag. This is the probability of drawing a red or a yellow marble on one draw.
What is 9/14?
What is the probability of rolling a 2 then tossing a head if you roll a die once and toss a coin once?
What is 1/12 or .083?
This is the equation of a parabola that opens left, has a vertex at (3, -2) and has a focus at (1, -2)?
What is x-1 = -1/8(y+2)2
What is (2.82, 2.82)?
The direction of the vector <-523, -850> to the nearest tenth of a degree.
What is 238.4 degrees?
This is P(red and face card) on one draw out of a standard deck of cards.
What is 3/26?
This is P(even|>9) if the data set is {5, 8, 9, 10, 11, 12, 13, 17, 19}
What is 1/3?
This is the type of conic of this equation:
15x2 + 23y2 - 7x + 4y =23
What is an ellipse?
This is the conjugate of 3 + 4i.
What is 3 - 4i?
Damian travelled 43 miles west and 25 miles north, stopped for gas, then travelled 17 miles east and 20 miles north. He is now this many miles from where he started.
What is 52 miles?
This is the number of ways 3 representatives can be chosen out 25 delegates.
What is 2300 or 25 C 3?
This is the probability of drawing a heart two times in a row if the first card is not replaced.
What is .059 or 1/17?
This is the equation of a circle with a radius of 4 and a center at (5, -2).
What is (x-5)2 + (y+2)2 = 16
These are two other ways to write (2, 30o).
What are any 2 of (2, -330o), (-2, 210o), (2, pi/6), (2, -11pi/6), (-2, pi/7)?
Vector JK has components <9, -2>. Vector KL has a magnitude of 8 and direction of 73 degrees. This is the component form of JL. (Give components to the nearest hudredth.)
What is <11.34, 5.65>
This is the probability of guessing a password on the first guess if the password cannot contain any repeating letters or numbers and must be in the format Letter, Letter, Number, Number, Number.
What is 1/468000?
In a certain plant, 4% of the chips manufactured are faulty. Of those, 23% will result in a major failure of the vehicle they are used in. This is the probability that a randomly selected chip will be faulty and result in a major vehicle failure.
What is .0092 or .92%?
This is the focus of a parabola that has a vertex at (5, 1) and a directrix at y = 4.
What is (5, -2)?
What is 13<cos -67.4o + i sin -67.4o>?
Jarod flies 239 miles due West, then turns and flies 89 miles at 117 degrees. This is how far he is from where he started and the direction of his resultant vector.
What are 290 miles and 164 degrees?
What is .327?
The probability of Dylan making a shot is .35. The probability of Jarod making a shot is .25. The probability of both of them making their shots is .0875. This is the proof that Jarod making his shot is independent of Dylan making his shot.
What is .35 X .25 = .0875?
9x2 - 4y2 -36x +8y - 4 = 0
(x-2)2/4 - (y - 1)2 /9 = 1
This is the solution of 3t - v.
t = 7 - 2i
v = 3<cos 23o + i sin 23o>
What is 18.24 - 7.17i