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liberstina [14]
2 years ago
13

A staircase handrail is made from congruent parallelograms. In PORS, PQ = 175, ST = 18, and

Mathematics
1 answer:
uysha [10]2 years ago
4 0

Answer:

115°

Step-by-step explanation:

< SPQ = < QRS ( being opposite angles of parallelogram)

<SPQ = 115°

Hope it will help. ❤

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What’s 7,040 divide by 3 using long division
gizmo_the_mogwai [7]

Answer:

Dividing 7,040 by 3 using long division method it gives the quotient  <u>2346</u> and the remainder <u>2</u>.

Step-by-step explanation:

Given:

7,040 divide by 3 using long division.

Now, to divide using long division method:

Step 1: Divide 7 by 3. 3 x 2 =6.

So, 1 will be remainder.

Step 2: Bring 0 down next to 1. So, now the new number is 10 .

Divide 10 by 3. 3 x 3 = 9.

Remainder is 1

So, quotient  is 23 till now.

Step 3: Bring 4 down next to 1. The number is now 14.

Divide 14 by 3. 3 x 4 = 12.

Thus, remainder is 2.

Step 4: Bring 0 next to 2. Getting the new number 20.

So, divide 20 by 3. 3 x 6 = 18.

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And the remainder is 2.

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Solve for z −cz+6z=tz+83
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Step-by-step explanation:

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In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle discuss a research proposa
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Answer:

Null hypothesis:p_{1} = p_{2}  

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

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

p_v =2*P(Z>0.500)=0.617  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.  

Step-by-step explanation:

Data given and notation  

X_{1}=25 represent the number of homeowners who would buy the security system

X_{2}=9 represent the number of renters who would buy the security system

n_{1}=140 sample 1

n_{2}=60 sample 2

p_{1}=\frac{25}{140}=0.179 represent the proportion of homeowners who would buy the security system

p_{2}=\frac{9}{60}= 0.15 represent the proportion of renters who would buy the security system

z would represent the statistic (variable of interest)  

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

Concepts and formulas to use  

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

Null hypothesis:p_{1} = p_{2}  

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

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{25+9}{140+60}=0.17  

Calculate the statistic  

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

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.    

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

p_v =2*P(Z>0.500)=0.617  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.  

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3 years ago
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