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2 years ago

Which point is a solution to the inequality shown in this graph? (0,1) (3,-1)

Mathematics

2 answers:

Sonbull [250]2 years ago

6 0

All points in the shaded area are answers to the inequality. Thus you need to find the point which is in the shaded area of the graph.

Only the point (3, -1) is within range. Thus answer D is correct.

katrin2010 [14]2 years ago

3 0

Answer:

Option D, (3, -1)

Step-by-step explanation:

In the inequality shown in the graph all the points which lie above the line (in the shaded part) will be the solution.

Option A) (0, -5)

Since this point lies below the line so it is not the solution.

Option B) (0, 0)

It's below the line again therefore not the solution.

Option C) (5, -5)

It lies below the line. Therefore it is not the solution.

Option D. (3, -1)

This point lies on the line therefore satisfies the condition.

Therefore Option D. (3, -1) is the only solution.

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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that $n = 300$ and $\pi = \frac{10}{300} = 0.033$

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So $\alpha$ = 0.05, z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532$

The correct answer is

(0.0128, 0.0532)

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2 years ago

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yaroslaw [1]

Why trees are helpful........................................
..................................................................
............................................................
.....................................................
..............................................
..................................
Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences.

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2 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

Picking 4 cards out of 10, and as a fraction, it would be 2/5

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2 years ago

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maria [59]

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The explanation for this is:
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2 years ago

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gayaneshka [121]

Answer:

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Step-by-step explanation:

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