1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Answer:
17.83in
Step-by-step explanation:
Answer:
2.8
Step-by-step explanation:
tan = opposite / adjacent
( opposite = side opposite of the angle and adjacent = side length that is not the opposite nor the hypotenuse ( longest side ) )
we are given an angle, ∠E = 26°
tanE = x / 5.7
tan26 = x / 5.7
==> multiply both sides by 5.7
5.7tan26 = x
==> simplify
x = 2.8 ( rounded )
Answer: B. -27+452i
Step-by-step explanation: Simplify the real and imaginary parts of the expression.
Hope this helps you out.
Answer:
To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time. If it is touching more than one point on the line at a time, the line is not a valid function. The first line and its inverse both pass the test.
Step-by-step explanation:
