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Answer:
[ry, yr, gy, yg, rg, gr]-Any three picks from this sample space.
Step-by-step explanation:
-The bag contains exactly marbles.
-He picks one ball without looking, and chooses a second ball without replacing the first:
- If the first is red, the the second is either yellow or green,
- If the first is a yellow, then the second can be red or green,
- If the first is green, then the second can be a red or yellow.
The sample space of the second pick is therefore:
[ry, yr, gy, yg, rg, gr]
Hence, any three picks from the sample space are correct possible outcomes.
Answer:
Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.
- θ= 54
- opposite= x
- hypotenuse = 2.3
We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3
Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.
x is approximately <u>1.9</u>