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1 year ago

Solve using substitution method and show all work 4x -2y = 18-4x + 2y = -18

Mathematics

1 answer:

Travka [436]1 year ago

6 0

Solving the simultaneous equation show that the solution is inconsistent.

<h3>What is Inconsistent solution?</h3>

A simultaneous equation is said to have inconsistent solution when there is no value as the solution. This implies that no value of unknown will satisfy the equation.

Hence no value of x and y satisfies the equation.

4x -2y = 18 ______1

-4x + 2y = -18 ____2

from (1) make y the subject of formular

4x -2y = 18

2y = 4x - 18

y = 2x - 9 ______3

substitute y = 2x - 9 into 2

-4x + 2y = -18

-4x + 2 (2x - 9 ) = -18

-4x + 4x - 18 = -18

-4x + 4x = -18 + 18

0 = 0

This gives no solution hence the simultaneous equation is said to be inconsistent

Read more on inconsistent solutions here: brainly.com/question/15654281

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mylen [45]

Remember the rules of Sohcahtoa (Sine, cosine, tangent). For this problem we take the cosine of 38 because the labeled sides are the adjacent leg and the hypotenuse.

Cos(38)=79/x

Cosine of 38 is about 0.7880

0.7880=79/x

Next we multiply both sides by the denominator

(x) 0.7880=79 (x)

Then divide.

0.7880 0.7880

X=100.25

Hope this helped :)

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sineoko [7]

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2 years ago

Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by: