A pelican starts at 60 feet above sea level. It descends 60 feet to catch a fish

In ABC, what is the measure of C? 108° 20° 18° 36°

adell [148]

Answer:

36

Step-by-step explanation:

b is 3x bigger then a and c but all add to 180

so 108 is b you have 72 left 72/2 for and c is 36

8 0

3 years ago

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Which property explains why these two expressions are equal?

ratelena [41]

Re-written, I believe the equation is:

(W+23)+5=W+(23+5)

With this, the parenthesis have nothing multiplying into it, so we can drop the parenthesis to get:

W+23+5=W+23+5
Which is the same thing.

So I'd assume it is the Associative property, because you are combining the like terms of 23 and 5.

Hope this helps!

7 0

3 years ago

BRAINLIEST ON THE LINE INFO IN PHOTO BELOW

victus00 [196]

Answer:

32 days is my final answer

Step-by-step explanation:

6 0

3 years ago

Please explain how to do this i am lost

mixas84 [53]

Answer: y = 7x - 6

Step-by-step explanation:

7 = m (slope)

-6 = y-intercept

8 0

3 years ago

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Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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:

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

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago