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3 years ago

Select the correct inequality for the graph below:

Mathematics

2 answers:

Lesechka [4]3 years ago

4 0

the answer is D. y≤ -2x + 2

take x=2
then (-2 x 2) + 2
⇒ -4 + 2 = -2

saw5 [17]3 years ago

3 0

The line is solid, so you know it could be equal to, so it is not A or C.

The shaded area is below the line, so it is less than or equal.

So the answer is <u>D. </u> $y \leq -2x+2$

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Licemer1 [7]

Answer:

(80.4942, 94.9052)

Step-by-step explanation:

The sample mean is x = 87.7.

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At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.

The confidence interval is:

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

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:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

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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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

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Answer:

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Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for $f(x) = g(x)$ , which are described below:

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