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Alisiya [41]
3 years ago
9

What is 20/10 as a mixed number?

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0
Hello there!
the answer is 2

Hope this helps! :)
~zain
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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
MakcuM [25]

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.  

6 0
3 years ago
In triangle abc, cos A= -0.6. Find A and Tan A
Tresset [83]

Answer:

Part 1) A=126.87^o

Part 2) tan(A)=-\frac{4}{3}

Step-by-step explanation:

we have

cos(A)=-0.6

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

cos(A)=-0.6

using a calculator

A=cos^{-1}(-0.6)=126.87^o

step 2

Find the sin(A)

we know that

sin^2(A)+cos^2(A)=1

substitute the value of cos(A)

sin^2(A)+(-0.6)^2=1

sin^2(A)=1-0.36

sin^2(A)=0.64

sin(A)=0.8

step 3

Find tan(A)

we know that

tan(A)=\frac{sin(A)}{cos(A)}

substitute the values

tan(A)=\frac{0.8}{-0.6}

Simplify

tan(A)=-\frac{4}{3}

5 0
2 years ago
Which angles are complementary<br> to &lt;1. Select all that apply.
lbvjy [14]

Answer:

∠5

Step-by-step explanation:

Complementary angles are angles that:

  • sum to 90°
  • make a right angle

Given this information, angles 2, 3, and 4 are already right angles. That leaves angle 5 and angle 1 to be complementary with each other, as they form a right angle.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren

4 0
2 years ago
Which best describes the relationship between the line that passes through the points (1, –6) and (3, –2) and the line that pass
vodka [1.7K]

Answer:

The two lines intersect (intersecting lines) at point (1, 2) on a graph

Step-by-step explanation:

4 0
3 years ago
The volume of this triangular prism is 162 cubic inches. What is the value of z?
lana [24]
The answer is 9 in and your welcome
8 0
1 year ago
Read 2 more answers
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