PLEASE HELP ME! It’s easy I just don’t remember.

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=arccot(x/o)

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Choose the numbers that are irrational.

ddd [48]

As the numbers are written, none of them are irrational because they are all terminating decimals:

$3.624=\dfrac{3624}{1000}=\dfrac{453}{125}$
$0.6=\dfrac6{10}=\dfrac35$
$0.87=\dfrac{87}{100}$
$-5=-\dfrac51$

Perhaps there is some missing notation in your question?

8 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

gtnhenbr [62]

Answer:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got: