A box of matching game pieces contains 8 red pieces, 5 green pieces, and 7 yellow pieces. You reach in and randomly take out one
2 answers:
Answer:
The correct answer is C)
Step-by-step explanation:
Step 1
We start by breaking up the process into 2 parts. The first part of the process is finding the probability of selecting a green piece out of 20 pieces. Since there are 5 green pieces, this probability is
Step 2
The second part of this process is that of selecting a red piece out of 19 pieces since the first piece was not replaced. If the first piece was green, taken without replacement, there are now 8 red pieces out of 19 pieces in total
Step 3
The next step is t find the probability using the multiplication rule. To find the probability of finding green piece followed by a red piece we just multiply the probabilities from step 1 and 2.
The calculation for this process is shown below,
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Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
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Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality is the same as
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Let's multiply both sides by 15 to clear out the fractions
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Now isolate the variable b
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.