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yan [13]
3 years ago
12

Which of the following is 38/6 converted to a mixed number

Mathematics
1 answer:
Monica [59]3 years ago
7 0
6 goes into 38 6 times (6 * 6 = 36). We can bring out a whole number of 6 into our mixed number. Now, we have 2/6 left over. That can be reduced to 1/3. Your mixed number is 6\frac{1}{3}
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A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
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Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

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Answer:

Option b) and c) are correct

Step-by-step explanation:

Given expression is  5s - 11b + 3s - 12b

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5s - 11b + 3s - 12b =-23b+8s

Option c) is correct

By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)

From the definition of equivalent we get, Option b) is also correct

Therefore  Option b) and c) are correct

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Answer:

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