Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
<span> x - 4y = -5
-x + 6y = 7
---------------add
2y = 2
y = 1
</span> x - 4y = -5
x - 4(1) = -5
x - 4 = -5
x = -1
answer
x = -1 and y = 1
Answer:
its B bro come on
Step-by-step explanation:
ok good
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%)