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:
A) 29/8
Step-by-step explanation:
On the left side of the equals sign, we have five x's and nine -1's.
On the right side of the equals sign, we have three -x's and twenty 1's.
Both sides are equal, so:
5(x) + 9(-1) = 3(-x) + 20(1)
5x − 9 = -3x + 20
Add 3x to both sides.
8x − 9 = 20
Add 9 to both sides.
8x = 29
Divide both sides by 8.
x = 29/8
If you are asking how may yards are in 36 feet, I can help you on this!
There are 3 feet in a yard, so to find this out, you need to divide 36 by 3.
Step-by-step explanation:
first of all, g(x) has only negative functional result values (y) except for 0.
and a square is always positive.
so, the only possible right answers are the ones that include a minus ("-") sign.
the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).
so, which equation turns an x = 1 into an y = -3 ?
therefore, the right answer must be D.
g(x) = -3x²
it works for both points :
-3 = -3×1² = -3 correct
-3 = -3×(-1)² = -3×1 = -3 correct
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Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
