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3 years ago

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

Mathematics

2 answers:

erik [133]3 years ago

6 0

Answer:

c. and d

Step-by-step explanation:

Maurinko [17]3 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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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she

Nataly_w [17]

Answer:

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 1.96\frac{\sigma}{\sqrt{n}}$

$4\sqrt{n} = 1.96\sqrt{\sigma}$

$\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2$

$n = (\frac{1.96\sqrt{\sigma}}{4})^2$

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

4 0

3 years ago

Please solve all and work needs to be shown ❤️❤️

Alex73 [517]

1).

a=bh

=(13)(9)

=117in^2

2).

A=1/2h(b1+b2)

=1/2(14)(15+9)

=168cm^2

3).

A=1/2d1d2

=1/2(18)(11)

=99in^2

4 0

3 years ago

Which expression is equivalent to

maksim [4K]

The answer is C . -7r^2 + 12r -8

5 0

3 years ago

Which of the following best describes how to use of the addition property of equality to isolate the variable x below?. . 5 = x

sergiy2304 [10]

<span>The best answer is C.add 2 to both sides of the equation.
</span>5=x-2
5+2=x-2+2
7=x-0
x=7

5 0

3 years ago

Lf x+1/x=12 then find the value of x3+1/x3

Tresset [83]

Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332

4 0

3 years ago