Core Connections Geometry, 2013
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Core Connections Geometry, 2013 View details
2. Section 2.2
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Exercise 78 Page 115

Practice makes perfect
a Probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes.

P=Number of favorable outcomes/Number of possible outcomes From the exercise, we know that Flo flipped 35 pancakes and that 22 of them landed correctly. With this information we can calculate the probability of Flo flipping a pancake correctly. P=22/35= 0.629... The probability of Flo flipping a pancake correctly is 62.9 %.

b This time, we want the number of favorable outcomes to be 42. If we call the number of possible outcomes x, we can solve for the number of pancakes she needs to flip by using the same formula as in Part A.
P=Number of favorable outcomes/Number of possible outcomes
0.629=42/x
Solve for x
0.629x=42
x=66.77265...
x≈ 67
Flo needs to flip 67 pancakes if her pancaking-flipping skills stay the same.
c If we add the number of sourdough and buttermilk pancakes, we get the total number of pancakes she has before making any banana pancakes.
12+15=27 Let's call the number of banana pancakes she needs x. If the probability of picking a banana pancake should be 110, we can write the following equation describing the probability of picking a banana pancake. 1/10=x/27+x Let's solve for x in this equation.
1/10=x/27+x
Solve for x
1=10* x/27+x
27+x=10x
27=9x
3=x
x=3
If she makes 3 pancakes, she gets a total of 30 pancakes. This means the probability of picking a banana pancake is 110. P=3/30=1/10