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3 years ago

Find the area of the shaded segment of the circle

Mathematics

1 answer:

hoa [83]3 years ago

6 0

Answer:

15.35 m²

Step-by-step explanation:

For a central angle of θ in radians, the area of a segment is ...

A = (1/2)r²(θ -sin(θ))

The central angle subtending the segment is 120°, or 2π/3 radians. Thus the segment area is ...

A = (1/2)(5 m)²(2π/3 -sin(2π/3)) = (25 m²)(π/3 -(√3)/4)

A ≈ 15.35 m² . . . . area of shaded segment

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What is the slope for this graph?* (3,2) |(1,2) (-2,1) (-1,2)

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Step-by-step explanation:

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

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3 years ago

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Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

Pie

Answer:

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

Yes it involves a statistical test

The population parameter(s) of interest is

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

Here $\mu_R$ is the average reaction time of the right hands for the right-handed participants

and $\mu_L$ is the average reaction time of the left hands for the left-handed participants

Considering third statement

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

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3 years ago