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3 years ago

What is trometry? helpp plz

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

it is the measurement of the positions, motions, and magnitudes of stars.

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Over a two hour time period a snail moved <br> 46<br> inches. How far is this in yards?

STALIN [3.7K]

1 inch = 0.0277778 1 * 46 = 46 0.0277778 x 46 = 1.27778 46 inches = 1.27778

4 0

3 years ago

In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%

lions [1.4K]

Answer:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

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".

$p$ represent the real population proportion of interest

$\aht p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

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

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 margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

6 0

3 years ago

|y| x-3 <br> what is the vertex

lutik1710 [3]

Answer:

(3,0)

Step-by-step explanation:

put x-3=0 and solve for it whic hwould be x=3

8 0

3 years ago

What is the value of E?

kozerog [31]

Hello!

∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:

∠E + 119 = 180

Now subtract 119 from both sides of the equation:

∠E = 61

We have now proven that ∠E is equal to 61 degrees.

I hope this helps!

8 0

4 years ago

Read 2 more answers

if u had 5 $100 bills 6 $50 bills 7 $20 bills 8 $10 bills 9 $5 bills 10 $2 bills 11 $1 bills and 100 cents 2 50 cents 3 25 cents

almond37 [142]

Answer:

1,099.88

Step-by-step explanation:

Just add everything to get that.

5 0

3 years ago