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ser-zykov [4K]
3 years ago
13

A container holds 4 3/8 gallons of water. A hole in the container causes 7/8 gallon to leak out. How many gallons of water are l

eft in the container?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:the number of gallons of water left is 3.5

Step-by-step explanation:

The initial amount of water in the container is 4 3/8 gallons. Converting 4 3/8 gallons to improper fraction, it becomes 35/8 gallons of water.

A hole in the container causes 7/8 gallon to leak out. The number of gallons of water left in the container would be

Initial amount - amount that leaked. It becomes

35/8 - 7/8 = 28/8 = 3 4/8 = 3.5 gallons of water

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Two dice are rolled. Use the complement rule to find that the probability that the sum of the dice is less than 10.
Katarina [22]

Answer:

\dfrac{5}{6}

Step-by-step explanation:

When two dice are rolled, the sample space is

\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}

In total, 36 outcomes

First, find the probability that the sum is 10 or greater:

All favorable outcomes

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11: (5,6),\ (6,5)

12: (6,6)

In total, 6 outcomes.

The probability that the sum is 10 or greater is

P(A)=\dfrac{6}{36}=\dfrac{1}{6}

Use the complement rule to find that the probability that the sum of the dice is less than 10:

P(A^C)=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}

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