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Wewaii [24]
3 years ago
14

System of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

D) (0, -3)

Step-by-step explanation:

The solution of two linear equations is the point of intersection of their graphs.

From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the x value on the y axis is always 0. Also, the point is below the x-axis. So, the y value of the point will be negative.

From the choices given, only (0,-3) matches the above conditions.

Therefore, the correct choice is D. (0, -3).

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3 years ago
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In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderat
Alexus [3.1K]

Answer:

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

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 level of 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:

n = 1004, \pi = 0.53

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.4894

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.5706

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

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3 years ago
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Answer: 20

Step-by-step explanation:

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235+123= solve using a number line
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Find the area of the blue shaded portion.​
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its 48

Step-by-step explanation:

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