Which of the following statements are true about the graph of f(x)= csc x? select all that apply

Mathematics

2 answers:

erik [133]2 years ago

6 0

Answer:

c. and d

Step-by-step explanation:

Maurinko [17]2 years ago

3 0

Answer:

c. There is a vertical asymptote at x = pie

d. f(x) is undefined when sin x=0

Step-by-step explanation:

The given function is $f(x)=\csc(x)$ .

This is the reciprocal of the sine function;

$f(x)=\frac{1}{\sin(x)}$

This function is not defined when

$sin(x)=0$

This implies that there is a vertical asymptote at $x=\pi$ because $\sin(\pi)=0$ .

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Korolek [52]

Answer:

A sample of 499 is needed.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this question, we have that:

$\pi = 0.21$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when $M = 0.03$ . So