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4 years ago

Please help with this question ASAP!!

Mathematics

1 answer:

diamong [38]4 years ago

4 0

Graph the inequality by finding the boundary line, then shading the appropriate area.
y>2x-5

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A random sample of 1000 people was taken. Four hundred fifty of the people in the sample favored Candidate AT. The 95% confidenc

azamat

Answer:

$0.45 - 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.419$

$0.45 + 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.481$

And the 95% confidence interval would be given (0.419;0.481). And the best option would be:

b. .419 to .481

Step-by-step explanation:

We know the following info:

$n = 1000$ sample size selected

$X= 450$ represent the number of people who favored Candidate AT

The sample proportion would be:

$\hat p=\frac{450}{1000}=0.45$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.45 - 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.419$

$0.45 + 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.481$

And the 95% confidence interval would be given (0.419;0.481). And the best option would be:

b. .419 to .481

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3 years ago

How many solution(s) does the equation x2 - 6x + 6 = -3 have?

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Answer:

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Step-by-step explanation:

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