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Elanso [62]
3 years ago
6

10. for the following questions, use the system of equations 3x+2y=14 2x-4y=4

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

x = 4 and y = 1

Step-by-step explanation:

3x+2y=14

2x-4y=4

We can solve them by canceling out one variable so we only have one variable left. Let's cancel out y by doubling the first equation. We get:

6x + 4y = 28

add that on to the second one and we get:

8x = 32

x = 4

We plug in x and get that:

y = 1

So in the end we get

x = 4 and y = 1

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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
19. Find the pressure exerted by a force of 240 newtons on an area of 30cm? Please help I will mark as brilliant
Dafna1 [17]

Answer: 80000

Step-by-step explanation:

p=<u>f </u>

    a

<u>24</u>

0.003

NOTE:30  ÷10000=<u>0.030km</u>

7 0
4 years ago
Mario made a table with the rules below
Lady_Fox [76]
  • It will be option A.
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<u>Answer:</u>

<u>a- (1,1) (3,4) (9,7)</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0
3 years ago
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riadik2000 [5.3K]
Her total bill was $18.09
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3 years ago
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If EM=11, AM=16, and CF=27, what are the lengths of the following sides?
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Answer:

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Step-by-step explanation:

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