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galina1969 [7]
2 years ago
14

Below is a net of the sugar cube that Ms.Temple put in her morning tea what is the surface area of the sugar cube?Show your work

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0
38:66 because the amount of 1/2 is the amount of 2.5
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1.Simplify the following Expression<br> a. 5y^2+ 3y – 13 + 6x – 3y + 6y^2
insens350 [35]

Simplified expression is 11y² + 6x - 13

Step-by-step explanation:

  • Step 1: Simplify 5y² + 3y - 13 + 6x - 3y + 6y²

5y² + 3y - 13 + 6x - 3y + 6y² = 11y² + 6x - 13

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He collected a total of 120 coins . If ​72 % of the coins he collected were​ foreign, how many other did he​ collect?
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33 other coins were collected
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How to make$1.05 with dimes and quarters?
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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.  

6 0
3 years ago
Write an appropriate inverse variation equation if y = 9 when x = 3.
pav-90 [236]
\bf \qquad \qquad \textit{direct proportional variation}\\\\&#10;\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;y=9\\&#10;x=3&#10;\end{cases}\implies 9=k3\implies \cfrac{9}{3}=k\implies \boxed{3=k}&#10;\\\\\\&#10;thus\qquad y=3x
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3 years ago
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