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coldgirl [10]
2 years ago
6

I need help what is the answer

Mathematics
2 answers:
alukav5142 [94]2 years ago
8 0

Answer:

245

Step-by-step explanation:

To find the value of a function at a specific point you can substitute that point into the equation.

For the function f(x)=\frac{1}{5}(3-x)^{2}, the specific point would be substituted in for every x in the equation.

f(-32)=\frac{1}{5} (3-(-32))^{2}=\frac{1}{5}(35)^{2}=\frac{1225}{5}=245

NemiM [27]2 years ago
5 0

Answer:

245.

Step-by-step explanation:

f(-35) = 1/5(3 - (-32))^2

= 1/5 * 35^2

= 7*35

= 245.

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Null hypothesis:p_{1} = p_{2}  

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

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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  

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

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