Average number of jumps on lowest bar = 3/2 = 1.5
Average number of jumps on middle bar = 6/4 = 1.5
Average number of jumps on highest bar = 4/1 = 4
Overall average number of jumps = 3/2 + 6/4 + 4/1 = 7
Overall average number of jumps =
+ 1/probability of complete the lowest bar
+1/probability of complete the middle bar
+ 1/probability of complete the highest bar
Equations of Shane’s overall average number of jumps completed = x * (7/13), where x is the total number of overall jumps.
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Answer: 19/36
Step-by-step explanation:
A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.
Step 1: Write the mean equation
(2/3 + 4/6 + 1/4)/3 = x
Step 2: Find the common denominator
3, 6, and 4 are all factors of 12, so 12 is your common denominator
4(2/3) = 8/12
2(4/6) = 8/12
3(1/4) = 3/12
Now rewrite the equation with the common denominator
(8/12 + 8/12 + 3/12)/3 = x
Step 3: Sum the fractions
(19/12)/3 = x
Step 4: I
Invert and multiply
(19/12)/3 = 19/12 * 1/3 = 19/36
This is the answer
