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Rasek [7]
3 years ago
13

Which equation can pair with y=3x-2 to create a consistent and independent system?

Mathematics
2 answers:
pochemuha3 years ago
7 0

Answer:

x = 3y – 2

y = –3x – 2

3y – x = –2

Step-by-step explanation:

Ray Of Light [21]3 years ago
3 0

Answer: y=4

Step-by-step explanation:  First of all, we have to know what a consistent and independent system is.

Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent

Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.

Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.

This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.

So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.

<em><u> Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.</u></em>

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6 0
3 years ago
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95​%of all males.​ (Accommodating 100%
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Answer:

Upper P95 = 16.21in

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 14.4, \sigma = 1.1

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This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Then

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1.645 = \frac{X - 14.4}{1.1}

X - 14.4 = 1.1*1.645

X = 16.21

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