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Ipatiy [6.2K]
3 years ago
8

The graph of F(x) shown below, has the same shape as the graph of G(x)=x^ 2 , but it is shifted down 3 units and to the left 2 u

nits. What is its equation?
Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

y = (x+2)^2 - 3

Step-by-step explanation:

Because you are shifting the graph down, the y-coordinate is being changed, so you subtract 3 from the original equation.  Because you are shifting to the left, you have to add to the x-value.  (It's kind of backwards from what you'd think.)

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
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Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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

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For this problem, we have that:

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95% confidence level

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}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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