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zzz [600]
3 years ago
14

Draw and write to explain how these two problems are different 35-15=. And 43-26=.

Mathematics
2 answers:
Kay [80]3 years ago
6 0

Answer:

The given probles are

35-15 and 43-26

Their main difference is about their results the first problem equals 20 and the second one equals 17. So, the difference between problems is 3 units.

Showing the math, we have

35-15=20

43-26=17\\

20-17=3

So, basically, these problems are different because they have similar operations but with different numbers, which give different results.

Rashid [163]3 years ago
3 0
35-15 is 20. and 43-26 is 17. These two are different because you are regrouping in the 2d problem, as in the first, you just subtract. 
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Without drawing the graphs, find the points of intersection of the lines: a 7x+4y=23 and 8x–10y=19
emmainna [20.7K]

Answer:

(3,0.5)

Step-by-step explanation:

The given system has equations:

7x + 4y = 23 \\ 8x - 10y = 19

Let us multiply the second equation by 4 and the first equation by 10.

70x + 40y = 230 \\ 32x - 40y = 76

We add both new equations to get:

102x = 306 \\ x =  \frac{306}{102}  = 3

Put x=3 into the first equation and solve for y.

7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\  y =  \frac{1}{2}

The point of intersection is the solution to the system of equation which is (3,0.5)

8 0
3 years ago
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
Solve this quadratic equation by completing the square.
nadya68 [22]

Answer:

x=-3+\sqrt{27}\\  x=-3-\sqrt{27}

Step-by-step explanation:

Let's find our C value for the quadratic equation.

(\frac{6}{2})^{2} = 9

That is our C. Since we added 9 to one side, we have to do the same to the other. We get:

x^{2} +6x + 9 = 18 + 9\\x^{2} +6x + 9 = 27

Now, lets form the left side as a binomial squared.

(x+3)^{2} = 27

Let's square both sides now:

x+3 = (+/-)\sqrt{27}

Now, we subtract 3 from both sides to isolate the variable, X:

x= -3(+/-)\sqrt{27}

This means that the answers are:

x=-3+\sqrt{27}\\  x=-3-\sqrt{27}

I do not understand your answers though. Answer A makes no sense, answer B is 221, answer C is 115, and answer D also does not make sense. If you could clarify this portion, maybe I can help you find your alphabetic answer

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3 years ago
Use the Distributive Property to multiply. 5(b + 8) A. 5b + 40 B. 5b + 8 C. 5b + 13 D. 8b + 40
lyudmila [28]
Answer is A multiply 5xb and 5x8
7 0
3 years ago
Read 2 more answers
Okay I’m good at right triangles and Pythagorean theorem but I don’t know about is one please help
Bess [88]

Answer:

x=2

Step-by-step explanation:

When you sub in these values for the pythagorean theorem you get 1.5^2+x^2=2.5^2

2.25+x^2=6.25

4=x^2

x=2

8 0
3 years ago
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