Solve. Enter the letter of your choice.

Delicious77 [7]

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

3 0

3 years ago

Read 2 more answers

PLEASE HELP LOTS OF POINTS!!!!!!!! TWO QUESTIONS!!!!!!!!!

zubka84 [21]

Answer: Number one would be 3x+2y+-14 and x+y=-4, second one is x=-3, y=7

Step-by-step explanation:

The first one is solved by inputting the x and y in each one and finding which one comes out true, the second on is solved by substitution. to find x you would subtract x in the first equation and make it y=4-x then input that equation in the y in the second equation.

6 0

4 years ago

Which equation and solution can be used to solve this problem? Thirteen less than a. number is sixteen.

Virty [35]

I believe the answer is 4. n-13=16: Add 13 to both sides. The answer is 29

6 0

3 years ago

Eva and her grandchildren went into a bakery and where they sell cookies for $0.50 each and brownies for $2.25 each. Reba has &a

kicyunya [14]

Answer: 5 cookies and 6 brownies.

Step-by-step explanation: If she decides to buy 5 cookies it will cost her $2.50. This means she can still spend $12.50. If we need to find how many brownies she can buy, the expression 12.50/2.25 can explain. In this case, she can buy 5 brownies and will have $1.25 left over

7 0

4 years ago

Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student government lea

nataly862011 [7]

Answer:

$z=-1.12$

$p_v =2*P(z$

So with the p value obtained and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we don't have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the population proportion of extroverts among college student government leaders is not different from 0.82.

Step-by-step explanation:

1) Data given and notation

n=74 represent the random sample taken

X=57 represent the number of people found extroverts

$\hat p=\frac{57}{74}=0.770$ estimated proportion of people found extroverts.

$p_o=0.82$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.959

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test if population proportion of extroverts among college student government leaders is different (either way) from 82%, the system of hypothesis would be on this case:

Null hypothesis: $p= 0.82$

Alternative hypothesis: $p \neq 0.82$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.770 -0.82}{\sqrt{\frac{0.82(1-0.82)}{74}}}=-1.12$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

So with the p value obtained and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we don't have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the population proportion of extroverts among college student government leaders is not different from 0.82.

4 0

3 years ago