Answer:
(22, - 24)
Step-by-step explanation:
Multiply the first equation by -5 to make the y's so you can add the up to zero.
-5(2x + y = 20)
-10x - 5y = -100 Add the second equation thn solve for x
<u> 6x + 5y = 12 </u>
-4x = -88
x = 22
Plug 22 in for x in either equation
2x + y = 20
2 (22) + y = 20
44 + y = 20
y = -24
So column A needs to all be the same multiples of 4 so 4•3 is 12 and so other multiples need to be placed
Answer:
I think you meant for the plus sign in the second problem to be an = sign so the equation looks like this y=-x+4
If so your answer is A the first graph
I graphed it on desmos calculator
Answer:
Below.
Step-by-step explanation:
35% as a decimal can be written as 0.35. Because it is 0.35 out of 1.00 or 0.35%.
As a fraction, you could write it as 35/100 because its 0.35 or 35/100
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%)
