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Galina-37 [17]
3 years ago
13

How to tell if an equation is linear or nonlinear?

Mathematics
1 answer:
gogolik [260]3 years ago
6 0
A linear equation will contain  a term in x  has the highest degree.  For example  y = 2x - 5 . A non linear will contain terms with exponents 2 or higher 
eg x^2 - 2x - 5  is nonlinear.
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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
butalik [34]

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

6 0
3 years ago
Find the next three terms in the sequence 625, 250, 100, 40...
pentagon [3]
Hi!

To solve this, let's divide

625/250 = 2.5

So is the pattern.. x/2.5 = x2/2.5 = x3/2.5...

We can test this theory by multiplying

100 x 2.5 = 250

Since 250 comes before 100 in the sequence then our theory is correct!

So to find the next numbers, divide:

40/2.5 = 16
16/2.5 = 6.4
6.4 = 2.56

The answer is C.

Hope this helps! :)
6 0
3 years ago
Simplify (9-5i)-(4+10i)
Alina [70]
Your simplified answer is 10 (ten)
6 0
3 years ago
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Evaluate sin 5pi/4<br> Thank you
kondaur [170]

Answer:

3.92699081699

Step-by-step explanation:

\frac{5(3.14)}{4}\\=15.7/4

3 0
3 years ago
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For which set of data are the median and mode the same number?
dlinn [17]
1 hghhhhhhgghhghhhhhhhhhhhh
5 0
3 years ago
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