A I guess (finger crossed )
Answer:
500g Jelly beans $9.90
Step-by-step explanation:
To know the values.
Let's know how much a gram will cost in each case
300g Jelly beans $5.80
1g = 5.8/300
1 g = 0.01933
500g Jelly beans $9.90
1g = 9.9/500
1g =0.0198
It's obvious that the second one has more value placed on it as it cost more per gram
This is (y2-y1)/(x2-x1), y2 being 12, y1 being 7, x2 being -39 and x1 being 26. So if you plug in the points it would be: (12-7)/(-39-26). This solved equals: -5/65 which simplified equals: -1/13
Answer:
a) probability that is cracked=1/30 (3.33%)
b) probability that is discoloured = 29/600 (4.83%)
c) probability that is cracked and discoloured = 11/600 (1.83%)
Step-by-step explanation:
assuming that each stone is equally likely to be chosen then defining the events C= the stone is cracked , D= the stone is discoloured , N= the stone is neither cracked or discoloured, then
P(C)= number of favourable outcomes/total number of outcomes = 20 stones/600 stones = 1/30 (3.33%)
P(D)= number of favourable outcomes/total number of outcomes = 29 stones/600 stones = 29/600 (4.83%)
the probability that is discoloured and cracked is P(C∩D) , where
P(C∪D)=P(C) + P(D)-P(C∩D)
and
P(C∪D)= 1- P(N)
thus
1- P(N)=P(C) + P(D)-P(C∩D)
P(C∩D)= P(N)+P(C)+P(D) -1
replacing values
P(C∩D)= P(N)+P(C)+P(D)=562/600 + 20/600 + 29/600 -1= 611/600 -1 = 11/600
thus
P(C∩D)= 11/600 (1.83%)
7P2, so 42 ways - permutation method since the order of choosing matters (chair and vice chair)
