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When ax^3 - 4x^2 + 5x - 3 is divided by (x +2) and (x-1), the remainders are equal. Find a.

I am unsure of this answer I worked out the remainder to be a = -3

But when I substitute it into the...

The council is ordering pizza for their next meeting. There are 20 council members, 7 of whom are vegetarian. A committee of 3 will order 6 pizza from a pizza shop that has a special for a large...

The council is ordering pizza for their next meeting. There are 20 council members, 7 of whom are vegetarian. A committee of 3 will order 6 pizza from a pizza shop that has a special for a large...

On a multiple choice test of 10 questions, each question has 5 possible answers. A student is certain of the answers to 4 questions but is totally baffled by 6 questions. If the student randomly...

a) N(S) = C(52, 2)
= 1326

The number of ways of choosing 2 clubs is C (13, 2)

C (13, 2) = 78

P (E) = 78/1326

= 1/17

Two cards are drawn from a deck of 52 playing cards. Find the probability of each of the following events occurring :

a) Both cards are clubs
b) Both cards are red
c) Both cards are queens
d)...