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pashok25 [27]
3 years ago
7

Tell whether the angles are vertical or adjacent and solve for x. Solve 11 and 12 for 20 points and brainest.

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

11) x = 45

12) x = 30

Step-by-step explanation:

11)

3x + x = 180

4x = 180

x = 45

12)

4x = 5x - 30

4x - 5x = -30

-x = -30

x = 30

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Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
Nina [5.8K]

Answer:

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

Step-by-step explanation:

Data given and notation  

X_{1}=253 represent the number with no defects in sample 1

X_{2}=196 represent the number with no defects in sample 1

n_{1}=300 sample 1

n_{2}=300 sample 2

p_{1}=\frac{253}{300}=0.843 represent the proportion of number with no defects in sample 1

p_{2}=\frac{196}{300}=0.653 represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

5 0
3 years ago
Please help me with this question
lara31 [8.8K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
What is the answer to 5x + 2 = 3x
3241004551 [841]

Answer:

  • x = -1

Explanation:

5x + 2 = 3x

5x - 3x = -2

2x = -2

x = \dfrac{-2}{2}

x = -1

Hope this helps! ☺

4 0
3 years ago
Read 2 more answers
scott is driving about 380 miles from Los Angeles to San Francisco. He plans to cover 3/4 of the distance before noon. how many
hoa [83]
285 miles before noon
8 0
3 years ago
The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?
NeTakaya

Answer:

D

Step-by-step explanation:

The formula we need to solve this is:

d_1+d_2=2a

Where

d_1  is the distance from one focus to the vertex

d_2  is the second distance from another focus to same vertex

<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

a  is half the length of the major axis (which is 9 here since total major axis is given as 18)

<em>Now we can plug into the equation and solve:</em>

<em>d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5</em>

<em />

<em>D is the correct answer.</em>

6 0
3 years ago
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