All categories

3 years ago

I’m so confused, I will try to mark brainliest, sorry if I can’t figure it out.

Mathematics

2 answers:

jonny [76]3 years ago

7 0

Answer and Step-by-step explanation:

The answers are:

x + 105 = 180 (Supplementary angles = 180 degrees)

x = z (Vertical angles are congruent)

180 - z = y (Supplementary angles = 180 degrees)

#teamtrees #PAW (Plant And Water)

Genrish500 [490]3 years ago

5 0

Answer:

$x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}$

Step-by-step explanation:

Statement 1:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 2:

True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.

Statement 3:

False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.

Statement 4:

False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.

Statement 5:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 6:

False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.

You might be interested in

A recent article reported that a job awaits only one in three new college graduates. The major reasons given were an overabundan

nikitadnepr [17]

Answer:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

$p_v =P(z>2.105)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .

Step-by-step explanation:

1) Data given and notation

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

$\hat p=\frac{80}{200}=0.4$ estimated proportion of students that had jobs

$p_o=0.3333$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 the claim that the proportion of students that have jobs at the school mentioned is higher than the reported value at the article:

Null hypothesis: $p\leq 0.33$

Alternative hypothesis: $p > 0.33$

When we conduct a proportion test we need to use the z statistic, 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:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

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 right tailed test the p value would be:

$p_v =P(z>2.105)=0.018$

7 0

3 years ago

-3/10 + 5/20 Simplify if needed etc Brainliest

Liono4ka [1.6K]

The answer is to this question is -1/20

5 0

3 years ago

Read 2 more answers

Using sum or difference formulas, find the exact value of sin(165∘)

Nikitich [7]

$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\$

$\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}$

6 0

3 years ago

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the

andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the cash register, 7 cooked food and washed dishes, 6 cooked food and operated the cash register, 6washed dishes and operated the cash register, 4 did all three jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

(b) Only operate the cash register?

Step-by-step explanation:

From the above question, we have the following information:

15 cooked food

12 washed dishes

21 operated the cash register

7 cooked food and washed dishes

6 cooked food and operated the cash register

6washed dishes and operated the cash register

4 did all three jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed dishes - Number of people that cooked food and operated the cash

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash register - Number of people that washed dishes and operated the cash register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0

3 years ago

How would you use a number line to round 16800 to the nearest ten thousand?

allsm [11]

Well you'd see if it's closer to 10000 or 20000.

In this case it would round to 20000.

4 0

2 years ago