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Suppose cos(π/2−x) =3/5, cos x =4/5 find sin, tan, csc, sec, cot

Pani-rosa [81]

Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.

5 0

3 years ago

In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or

8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0

3 years ago

Solve 6-7+3(-11+5)(-11+5)-5

andrew11 [14]

I think it's 112 I did it in my head might be wrong

6 0

3 years ago

What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Tr

elixir [45]

Answer:

The equation for the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

And we have to find the equation of the line of reflection of the points.

Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.

Therefore, the equation for the line of reflection will be x = y. (Answer)

4 0

3 years ago

Read 2 more answers

The mass of the sun is 21.3525×102921.3525×1029 kg. the mass of mercy is 328.5×1021328.5×1021 kg.how many times larger is the ma

Liono4ka [1.6K]

This is basically a simple problem to understand. The only thing that needs to be done is to divide the mass of the sun by the mass of mercury. It will give the required result.

Number of times the mass of sun is greater than
the mass of mercury = 21.3525×102921.3525×1029/328.5×1021328.5×1021
= 7.1783629e+15
I hope that this is the answer that you were looking for and it has come to your great help.

8 0

3 years ago