Two events are independent if the knowledge of the first does not affect the probabilities of the outcomes of the second.
The first case represents independent events. In fact, when you toss the dime, you have no further information on the result of the tossing of the quarter - it's still heads or tails with probability 50/50.
On the other hand, the second case represents dependent events. In fact, when you pick the first card, you have probability 1/52 of getting any card from the deck. Since you keep the card before picking the next one, the second picking will not have the same probability: assume the first pick was the ace of hearts. For the second pick, you are sure that the ace of hearts can't be picked, and every other card has probability 1/51 of being picked. In other words, the knowledge of the first pick - the ace of hearts - changed the probabilities of the second pick, so the events are dependent.
To graph a line, first put the equation into slope-intercept form:
. So what can we do with our equation,
, to get it into slope-intercept form? If we divide both sides of the equation by
, we get
. This gives us several pieces of information. Remember that the
constant term, the one without a variable, tells us the y-coordinate of the y-intercept. The y-intercept is where the graph crosses the x-axis. So here, the constant term is 2; so the y-intercept is
(0,2). That is one of the points. Now what does the slope represent? It is rise/run. Here it is -1/3. So from our y-intercept, (0,2), we can go down one unit and to the right 3 units. This new point is
(3,1). From that point we can apply that again: go down 1 and right 3 units to get another point,
(6,0).
Answer:
We have to choose any one from option B and option C
Step-by-step explanation:
We have to perform a subtraction of two decimal numbers.
(9.43 - 4.286) = (9.430 - 4.286) = 5.144.
Hence, the answer is 5.144 which is given both options B and C.
In case there are two options with the same value and the value is the answer, then you choose any one of them but not both.
Here in our case, we have to choose any one from option B and option C and we will be rewarded full marks. (Answer)
