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Temka [501]
2 years ago
9

2:10:16 ratio simpification (I know the answer, but i need the working)

Mathematics
1 answer:
likoan [24]2 years ago
5 0

Step-by-step explanation:

<em>2</em><em>:</em><em>1</em><em>0</em><em>:</em><em>1</em><em>6</em><em>=</em><em>2</em><em>/</em><em>1</em><em>0</em><em>=</em><em>1</em><em>/</em><em>5</em><em>÷</em><em>1</em><em>6</em>

<em>1 \div 5 \div 16</em>

<em>1</em><em>/</em><em>5</em><em>×</em><em>1</em><em>/</em><em>1</em><em>6</em>

<em>=</em><em>1</em><em>/</em><em>8</em><em>0</em>

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The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

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This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

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P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

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P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

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Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

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