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3 years ago

Help....................

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Legs with "B" in their title can not be opposite to the angle B, as they are touching it. So...

The opposite leg to the angle B is the leg AC.

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Jake throws a dart that hits the square shown below:

mrs_skeptik [129]

21.5.......:::..............:.::.::..

7 0

3 years ago

Use a sample n=1400 , p=0.20 and a 99% confidence level to construct a confidence interval estimate of the population proportion

saul85 [17]

Answer:

$0.2 - 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.172$

$0.2 + 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.228$

The 99% confidence interval would be given by (0.172;0.228)

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

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

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

If we replace the values given we got:

$0.2 - 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.172$

$0.2 + 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.228$

The 99% confidence interval would be given by (0.172;0.228)

7 0

3 years ago

An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She bro

Soloha48 [4]

Answer:

after 1 hr = 20 after 2 hrs =<em> </em> 40 after 3 hrs = 80 160 n 3 hrs

8 0

3 years ago

These angels are equal. What are they called?

Yanka [14]

Acute angles because they are less then 90 degrees which is a right angle.

7 0

4 years ago

SHOW ALL YOUR WORK

blondinia [14]

Answer:

The flour left with her = 13 1/2 cups

Step-by-step explanation:

Flour in the container = 15 3/4 cups = 63/4

Flour used to make bread = 2 1/4 cups = 9/4

The flour left with her = (63/4) - (9/4)

= (63 - 9)/4

= 54/4 = 27/2

= 13 1/2 cups

The flour left with her = 15 3/4 - 2 1/4

= (15 - 2 ) + (3/4 - 1/4)

= 13 + (2/4)

= 13 + (1/2)

= 13 1/2 cups

7 0

3 years ago