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aniked [119]
3 years ago
11

How to write an equation and use The Distributive Property .

Mathematics
1 answer:
Airida [17]3 years ago
7 0
<h2>Answer</h2>

Distributive Property

The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them.

<h2>Example</h2><h3>Equation </h3>

10(x + 2) = 45

Apply the distributive property to the left side of the equation by multiplying

two numbers inside the parentheses by 10

10(x) + 10(2) = 45

Now add them

10x + 20 = 45

Rearrange the like terms

10x = 45 -20

10x = 25

x = 25/10

x = 2.5

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Answer:

a) 0.1165

b) 0.0983

c) 0.000455

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5 ​bars, 4 ​lemons, 3 ​cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

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a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

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d) Probability of not getting a bell on the 3 slots

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e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

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Probability of at least one bar = 0.437 + 0.273 + 0.0569 = 0.7669 = 0.767

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