All categories

3 years ago

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Mathematics

1 answer:

vodomira [7]3 years ago

5 0

Answer:

Reference angles are always acute.

We can find the reference angle with the "formula"

−

, where

is our given angle.

We can plug

into our expression to get

−

Thus, our reference angle is

You might be interested in

A kennel is moving 160 dogs to a new facility. Each dog has its own crate. The facility manager rents 17 trucks. Each truck hold

Galina-37 [17]

Answer:

17.7 = 18 (when rounded)

Step-by-step explanation:

160 divided by 9 = the amount of trucks.

8 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , 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 .

The margin of error is:

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

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

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

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

Tracy was given a bag of 250 colored marbles .She randomly chose marble , recorded its color in the table ,and returned it to th

jok3333 [9.3K]

Answer:

Did you ever figured it out?

Step-by-step explanation:

5 0

3 years ago

2 x y`- 3 y=0

riadik2000 [5.3K]

Answer:

2xy-3y=0

y(2x-3) =0

2x-3=0

2x=3

x=3/2

3 0

3 years ago

Two boats start their journey from the same point A and travel long directions AC and AD as shown below what is the distance CD

Olegator [25]

I think its B but ima have to check again and get back to you

4 0

3 years ago

Read 2 more answers