Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, rec
2 answers:
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Answer:
a) 1/6
b) 1/36
c) 1/720
d) 1/3
Step-by-step explanation:
a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.
b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:
c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:
d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is:
1
Move everything to the left by subtracting 25 from both sides:
Both terms are squares: is the square of
, while 25 is the square of 5. So, we can apply the factoring
To factor the expression as
A multiplication is zero if and only if one of the factors is zero, so we have
2
The discriminant of the quadratic expression is defined as
So, you have
3
Similarly, we have