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quester [9]
3 years ago
10

Find the solution to the equations. 3x - y = -4 X + y = 0

Mathematics
2 answers:
adell [148]3 years ago
6 0

Answer:

Both the lines shown by above two equations have same slope = 3 i.e. the lines are parallel to each other i.e. they don't intersect each other hence the given system of linear equations has no solution .

Step-by-step explanation:

Zepler [3.9K]3 years ago
5 0

Answer:

x = -1; y = 1

Step-by-step explanation:

3x - y = -4

x + y = 0

Since you have -y and +y in the two equations, you can add them and eliminate y.

Add the equations.

4x = -4

x = -1

Now substitute -1 for x in the second equation and solve for y.

-1 + y = 0

y = 1

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Answer:

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Step-by-step explanation:

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Now; assuming X = no of complaints received in a week

Required:

To find P(77 < X < 120)

Using a Gaussian Normal Distribution (\mu =108, \sigma = 20)

Using Z scores:

Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\  Z  -1.75

As a result  X = 77 for N(108,20) is approximately equal to  to Z = -1.75 for N(0,1)

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Z = \dfrac{120-108}{20} \\ \\  Z = \dfrac{12}{20}\\ \\  Z = 0.6

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Now, to determine:

P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)

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P(-1.75 < Z < 0.6) = 0.7257 - 0.0401

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The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus
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<span>
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Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

 

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

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Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

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Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

 

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

 

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

<span>Probability = 1080 / 5040 = 3 / 14                      (FINAL ANSWER)</span>

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