My answer would be (0,5) because that seems to be where this scatter plot starts.
Hope this helps!
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▹ Answer
<em>(-1, 3)</em>
▹ Step-by-Step Explanation
y - 4x = 7
2y + 4x = 2
<u>Substitute</u>
y - (2 - 2y) = 7
<u>Solve</u>
y = 3
<u>Substitute</u>
4x = 2 - 2 * 3
<u>Solve</u>
x = -1
<u>Final Answer</u>
(x, y) = (-1, 3)
Hope this helps!
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Brainliest is greatly appreciated!
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Answer:
x>3
Step-by-step explanation:
We are given with the inequation 3(8-4x) < 6(x - 5)
Dividing both sides in the above in equation by 3 we get
(8-4x)<2(x-5)
Distributing 2 over (x-5)
(8-4x)<2x-10
8-4x<2x-10
adding 10 and 4x on both hand sides we get
8+10<2x+4x
18<6x
Dividing both sides by 6 we get
3<x
Hence the solution to the given in equation is x>3
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