Cutting through open fields. Taking the path is 12 miles. By cutting through it, he is cutting in the middle. Half of 12 is 6. So it would be around 6 miles to get to the park with this shortcut.
Hope this helps, sorry if it doesn’t make sense.
Answer:
Step-by-step explanation:
C
Part A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
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To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
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Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
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We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
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Part C
Answer: There is a greater chance to get two purple in a row
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Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
Note the equal sign. What you do to one side, you do to the other. Isolate the p. Do the opposite of PEMDAS.
first, subtract 5r from both sides
2p + 5r (-5r) = q (-5r)
2p = q - 5r
Next, divide 2 from both sides
(2p)/2 = (q - 5r)/2
p = (q/2) - (2.5r) is your answer
hope this helps