Answer:
0.6875
Step-by-step explanation:
you're welcome.
Given expression is
So we can write it in verbal expression as one eight of a number.
Answer:
Step-by-step explanation:
a) so initially there will be a total of 14 marbles in the bag since none have been removed yet. This means the probability of picking one red marble will be 6/14 or simplified, 3/7. However, the next time you pick a marble there will only be 13 marbles in the bag and only 5 red marbles, giving you a probability of 5/13. To get the next red marble, there will only be 12 marbles left in the bag with only 4 red marbles remaining. The probability of this is 4/12 or simplified, 1/3. In order to find the probability of picking 3 total red marbles, you need to multiply those probabilities together, so: (3/7)(5/13)(1/3) for an answer of 5/91 or a 0.0549% chance
b) I am not sure I fully understand how this question is possible if there is only one green marble and the marbles are not being replaced. My best guess would be a 0% chance since you cannot get 2 green marbles without replacement.
c) Again there are 14 marbles in the bag, that means the probability of picking a blue marble is 3/14, then, to find the probability of getting a yellow marble, you get 4/13, remember there is one less marble in the bag because you already took out a blue marble. Then simply multiply those probabilities together: (3/14)(4/13) for 6/91 probability or 0.0659% chance.
d) I am not entirely sure. If you want the probability of the red first then blue it is 9/91, and if it is blue then red, it is also 9/91.
The answer is 6.5 - you add 6 and 7 together and then you divide them by two
Answer:
16^2 - y^2
Step-by-step explanation:
First you need to distribute the (4x - y) to the other numbers. So we'll distribute it one by one, to make it easier. So taking the 4x from (4x - y), you need to distribute it to (4x + y). So 4x × 4x is 16^2. That's the first part, now we need to distribute the 4x to the positive y, which is 4xy. Now we work on the negative y from (4x - y). Distribute the -y to (4x + y). So -y × 4x = -4xy, and -y × y = -y^2. So now you should have the numbers, 16x^2 + 4xy - 4xy - y^2. The positive 4xy and negative 4xy cancel out so that would just be 0, so you can take that out. Now you should have 16^2 - y^2, and that's the simplified expression.