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Damm [24]
4 years ago
10

Help! How do i find a solution set? (I have a texas ti graphing calculator if that helps) An example is

Mathematics
1 answer:
Nataly [62]4 years ago
5 0

Answer:

The solution set is given by {a, -b}.

Step-by-step explanation:

We have the equation,

(x - a)(x + b) = 0

Equating the factors to 0 gives,

(x - a)=0 and (x + b)=0

i.e. x = a and x = -b

So, the solutions of the equation (x - a)(x + b) = 0 are x= a and x= -b.

Thus, the solution set is given by {a, -b}.

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Of 375 randomly selected students, 30 said that they planned to work in a rural community. Find 95% confidence interval for the
Artemon [7]

Answer:

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

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 = 375, \pi = \frac{30}{375} = 0.08

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}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

4 0
3 years ago
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