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3 years ago

Match the exponential expression on the left with the equivalent, simplified expression on the right

Mathematics

1 answer:

koban [17]3 years ago

4 0

Answer:

Step-by-step explanation:

y^2(y^4) => y^8

(2y)^2 => 2^2y^2 => 4y^2

(y/4)^2 => y^2/4^2 => y^2/16

2(y^3)^3 => 2y^9

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Example 2: Combining Use of the Multiplication and Addition Rules

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The probability of getting 6's on both cubes is $\frac{1}{36}$ .

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Consider the provided information.

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Part (A) Both cubes show 6’s.

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Thus, the probability of getting 6's on both cubes is:

$P(\text{Both 6's})=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$

Hence, the probability of getting 6's on both cubes is $\frac{1}{36}$ .

Part (B) The total score is at least 11.

The possible number of outcomes in which total score is at least 11 is:

Red shows 6 and Blue shows 5.

Blue shows 6 and Red shows 5.

Blue shows 6 and Red shows 6.

Thus, the probability of total score is at least 11.

$P(\text{Total is at least 11})=\frac{1}{6}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{6}\\P(\text{Total is at least 11})=\frac{1}{12}$

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