The correct answer maybe
Actually I don't understand ur question
Answer:
(3, -2) and (9, 0)
Step-by-step explanation:
x-3(-2)=9
x+6= 9
x=3
9-3y=9
-3y=0
y=0
#2: Her earnings were no more than $64. Let e represent her earnings. E is less than or equal to 64 (since it says no more than $64).
e ≤ 64.
#4: A checking account was no more than $500. Let a represent the amount in the checking account. A is less than or equal to 500.
a ≤ 500.
#5: Max. ceiling height of 8 ft is required. Let f represent length in feet. Length in feet has to be less than or equal to 8.
f ≤ 8.
#6: Min. number of 12 participants required. Let n represent the number of participants. There has to be at LEAST 12 participants. So, the number of participants has to be greater than or equal to 12.
n ≥ 12.
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%)
The first figure below shows the graph for problem 5).
The second figure below shows the graph for problem 6).
