The first thing to take into account is that the probability of getting any of the six numbers of the dice after rolling it is the same and that probability is 1/6. Here we are being asked about the probability of getting a 1 or a 4 or a 5. In order to find it we need to define which are our favourable cases. Favourable cases are the results we want to get when we roll the dice so getting a 1, a 4 or a 5 are all favourable cases. All the other possible outcomes are unfovourable cases: getting a 2, a 3 or a 6. So we have 3 favourable and 3 unfavourable cases. Adding them we know that the total amount of cases is 6. The probability we are looking for (i'm going to call it P) is given by these quantities I defined:
So the probability written as a simplified fraction is 1/2.
Answer:
4
Step-by-step explanation:
Firstly simplify your brackets...,
; 4(a^2 + 2b) = 4a^2 + 8b...then substitute it onto the bracket
; 4a^2 + 8b - 2b
; 4a^2 + 6b....,then substitute with the given values of a and b
; 4(2)^2)+ 6(-2)
; 16 - 12 = 4
elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
Answer:
Step-by-step explanation:
"The bread-enclosed convenience food known as the "sandwich" is attributed to John Montagu, fourth Earl of Sandwich (1718-1792), a British statesman and notorious profligate and gambler, who is said to be the inventor of this type of food so that he would not have to leave his gaming table to take supper.
