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Sauron [17]
3 years ago
13

A straight line joins the points (-1, -4) and (3, 8)

Mathematics
1 answer:
meriva3 years ago
8 0

Answer:

i)(2,4)

ii)y=3x+c

Step-by-step explanation:

I. minus them from each other

ii. draw out the graph to find the gradient, which is rise over run, this is your m and c can be any number since it is a never ending straight line.

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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
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  • The lower limit is 0.5.
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In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

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Step-by-step explanation:

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