There are 9 marbles in the bag. We pick 2 without replacement and get a probability of 1/6.
Each draw of a marble has a probability associated with it. Multiplying these gives 1/6 so let us assume the probabilities are (1/3) and (1/2).
In order for the first draw to have a probability of 1/3 we need to draw a color that has (1/3)(9)=3 marbles. So let's say there are 3 red marbles. The P(a red marble is drawn) = 1/3.
Now that a marble has been drawn there are 8 marbles left. In order for the second draw to have a probability of 1/2 we must draw a color that has (1/2)(8) = 4 marbles. So let's say there are 4 blue marbles out of the 8.
Since there are 9 marbles to start and we have 3 red marbles and 4 blue marbles, the remaining 2 marbles must be a different color. Let us say they are green.
The problem is: There are 3 red marbles, 4 blue marbles and 2 green marbles in a jar. A marble is picked at random, it's color is noted and the marble is not replaced. A second marble is drawn at random and its color noted. What is the probability that the first marble is red and the second blue?
Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.
- 40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees.
- Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees.
- The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.
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1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.
2) 140 + x + x = 180 (equation)
- 140 + 2x = 180
- 2x = 180 - 140
- 2x = 40
- x degrees = 20 degrees
ANSWER: x = 20 DEGREES
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1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.
2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle
of left triangle.
2) 70 + 40 + y = 180
- 110 + y = 180
- y = 180 - 110
- y = 70 degrees
ANSWER: y = 70 DEGREES
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Whew. Hope this helps you out, and let me know asap if you're confused on any part.
Answer:
Step-by-step explanation:
If you divide both sides of this equation by mg, you are left with , which is the equivalent solution solved for h. Hope this helps!
95% of scores fall within +/-2 standard deviations from the mean
