Answer:
1/12
Step-by-step explanation:
When you flip a coin, there are two possible outcomes. When you roll a die there are six possible outcomes. This means the chances of getting a heads is 1/2 and the chances of rolling a 2 are 1/6. To find the probability that both will occur, multiply the two probabilities: 1/6 * 1/2 = 1/12
<h2>Arithmetic Sequence</h2>
Answer: x=6 y=3 z=2
Step-by-step explanation: The question is very vast so im guessing that its just finding 3 whole numbers that can equal the same ammount being multipied by 2 and 3. I chose 6. But theres many others. The answer should be correct because if we replace the letters with the numbers i put in the answer it should look like this: 6=2•3=3•2
When we do simplify this we should get 6=6=6 which is true.
Again you can use different numbers for example 12 as X. Then you need to divide 12 by whats behind the Y. So 12÷2 is 6. So Y is equal to 6. To find Z all you need to do is follow the same steps as Y. Find the number behind Z (3) and divide that into 12. So it would be 12÷3. And if you do the math right it should look like this: X=12, Y=6, Z= 4. And when you imput the numbers to thier corresponding letter it should look like this 12=2(6)=3(4) which simplified looks like 12=12=12 which is true.
Answer:
a) P = (-3, 4, 3)
b) P = (7, 4, 1)
Step-by-step explanation:
a) You want Q-P = (5, 4, -1) where Q = (2, 0, 2). Solving for P, we get ...
P = Q - (5, 4, -1) = (2-5, 4-0, 2-(-1))
P = (-3, 4, 3)
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b) The vector in the opposite direction of the one given is the given one multiplied by -1.
P = Q - (-1)(5, 4, -1) = (2+5, 0+4, 2-1)
P = (7, 4, 1)
