Please answer question E and explain how you got your answer

weeeeeb [17]

$\huge\underline\color{pink}{Answer ☘}$

$angle \: sum \: property \: of \: a \: triangle \\ states \: that \: the \: sum \: of \\ all \: the \: three \: angles \: of \: a \: triangle \: is \\ equal \: to \: 180°$

therefore~

$63 + (x + 17) + (4x - 5) = 180° \\ 63 + x + 17 + 4x - 5 = 180° \\ 5x + 75 = 180 \\ 5x = 180° - 75 \\ 5x = 105° \\ x = \frac{105}{5} = 21°$

therefore the measure of all the angles are..

∠1 = 63°

∠2 = ( x + 17 ) = ( 21 + 17 ) = 38°

∠3 = ( 4x - 5 ) = ( 84 - 5 ) = 79°

<h3> $thus \: the \: measure \: of \: the \: largest \\ angle\: is \: 79°$ </h3>

hope helpful~

5 0

3 years ago

Dependent or independent

Vedmedyk [2.9K]

The probability of coin landing with heads is an independent event.

The probability of winning 1st and 2nd prize is a dependent event.

<h3>What are independent and dependent events?</h3>

Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.

Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.

To learn more about independent events, please check: brainly.com/question/13075229

#SPJ1

6 0

3 years ago

Help me please !!!!!!!! I DON'T KNOWWWWWWWWWW

r-ruslan [8.4K]

Answer:

m<1= 120

Step-by-step explanation:

1. we know supplementary angles equals 180. the angle 130 is part of a supplementary angle so we can subtract it by 180 to see that missing angle.

2. we also know that all triangles three angles add up to 180. So if we add the number we know 70+50 (50 is from subtracting 130 from 180), Once we find that answer, we subtract it from 180 to find angle 2 which is 60 degrees

3. Last step, angle 2 is part os a supplementary angle in which the two angles add up to 180. So, subtracting 60 from 180 will get you the degree of the angel one which his 120 degrees.

7 0

4 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: