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3 years ago

Which angles are pairs of alternate exterior angles? Check all that apply.

Mathematics

2 answers:

Shalnov [3]3 years ago

8 0

Answer:

A & E

Step-by-step explanation:

An alternate exterior angle pair would have to be on the outside and be on opposite sides of the same line (like 5 and 11).

Vlada [557]3 years ago

6 0

first and before last one are my best guesses.

You might be interested in

The velocity v of blood that flows in a blood vessel with radius r and length ℓ at a distance r from the central axis is v(r) =

pogonyaev

$v(r)=4P\eta\ell(R^2-r^2)$

(assuming $R$ is the radius of the vessel, and that $0\le r\le R$ )

The average velocity of the blood is given by

$\displaystyle\frac1{R-0}\int_{r=0}^{r=R}v(r)\,\mathrm dr$
$=\displaystyle\frac{4P\eta\ell}R\int_{r=0}^{r=R}(R^2-r^2)\,\mathrm dr$
$=\dfrac{4P\eta\ell}R\left(\dfrac23R^3\right)$
$=\dfrac{8P\eta\ell}3R^2$

7 0

3 years ago

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

2 years ago

Pls helpppppp this is a math emergency!

netineya [11]

Answer:

19.4in

Step-by-step explanation:

1) formula for area of a triangle:

(b*h)/2=a

the area and height are already given so lets substitute them in the formula.

(b*23.8)/2=230.86

1) multiply by 2 on both sides

b*23.8=461.72

divide by 23.8 on both sides

b=19.4

the base is 19.4 in

hope this helps

3 0

2 years ago

Read 2 more answers

What is2.07 divided by0.9

Vinil7 [7]

2.07 divided by 0.9 is 2.3

4 0

3 years ago

How do you solve this?<br> 5x-4y+6x<br> if x=8

ololo11 [35]

First plug in the numbers 5 x 8 = 40
40-4y+6x8=48
40-4y+48

6 0

2 years ago