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2 years ago

If P(x,y) is the point on the unit circle defined by real number e, then csce =

Mathematics

2 answers:

olasank [31]2 years ago

6 0

Answer:

$csc(e) = \frac{1}{y}$

Step-by-step explanation:

It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)

This scenario is represented in the figure attached below.

The formula of csc is:

$csc(\theta) = \frac{\text{Hypotenuse}}{\text{Opposite}}$

A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.

Hypotenuse = 1

So, the formula of csc would be reduced to:

$csc(e) = \frac{1}{\text{Opposite}}$

The side opposite to the angle made at origin is y. So,

$csc(e) = \frac{1}{y}$

Citrus2011 [14]2 years ago

4 0

Answer:1/y

Step-by-step explanation:

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Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was

andrezito [222]

Answer:

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

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:

$n = 100, p = 0.42$

92% confidence level

So $\alpha = 0.08$ , z is the value of Z that has a pvalue of $1 - \frac{0.08}{2} = 0.96$ , so $Z = 1.75$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.3336$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.5064$

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

4 0

3 years ago

What is the LCD of 5/12 and -9/16 ?

Andreyy89

The least common denominator of 5/12 and -9/16

The answer is 48.

Now, we have to change the numerators also to make this a equal fraction to the first ones we had.

5*4 = 20
12*4 = 48

20/48

-9*3 = -27
16*3 = 48

-27/48

7 0

3 years ago

Read 2 more answers

How do I do the first question and second<br> ?

asambeis [7]

Answer for Problem 2:

x=61 degrees

Step-by-step explanation:

I'm not completely sure of problem 1, but I know what problem 2 is.

Tip: triangles always add up to 180 degrees.

1. 16+42= 58

2. 180-58= 122