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2 years ago

How does a perpendicular bisector justify sss triangle congruence theorem?

Mathematics

1 answer:

Semmy [17]2 years ago

4 0

Intersects a given segment at a 90 degree angle,and passes through the given segment's midpoint.

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2 ft<br> 6 ft<br> 14 ft<br> Volume =

sleet_krkn [62]

Answer:

volume of given figure is

$168feet {}^{3}$

Step-by-step explanation:

volume = product of all dimensions

v = 2 × 6 × 14
v = 168 cubic feet

4 0

2 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRAINLIEST!!! Type the correct answer in each box. If necessary, use / for the fraction bar(s).

eduard

Answer:

NEED EXAMPLE PLZ TO ANSWERS!?

5 0

2 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

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

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

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)

If solve n from equation (a) we got:

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

Part a

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 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

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 $ME =\pm 0.02$ 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:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago

CAN YOU SOLVE THIS MATH PROBLEM 20 POINTS

Zolol [24]

The correct answer is A. x=22

Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)

7 0

2 years ago

Read 2 more answers

The lengths of the sides of an unknown quadrilateral are as follows: 11, 21, 11, 21 Which of the following could be the unknown

Gelneren [198K]

The unknown shape could be a rectangle, parallelogram, or kite.

:)

3 0

3 years ago