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77julia77 [94]
3 years ago
13

Using the following image, if you EG = 59, what are x, EF, and FG.

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

Step-by-step explanation:

Given: EG =59 \,\,units

To find: x,EF,FG

Solution:

From the image, EG=EF+FG

Put EF=8x-14\,,\,FG=4x+1\,,\,EG=59

8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6

EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25

Therefore,

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

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Step-by-step explanation:

1) Data given and notation  

X_{M}=23 represent the number of men that said they enjoyed the activity of Saturday afternoon shopping

X_{W}=8 represent the number of women that said they enjoyed the activity of Saturday afternoon shopping

n_{M}=66 sample of male selected

n_{W}=23 sample of demale selected

p_{M}=\frac{23}{66}=0.34848 represent the proportion of men that said they enjoyed the activity of Saturday afternoon shopping

p_{W}=\frac{8}{23}=0.34782 represent the proportion of women with red/green color blindness  

z would represent the statistic (variable of interest)  

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

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

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

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

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{23+8}{66+23}=0.34831

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Since is a one side right tail test the p value would be:  

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