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aleksley [76]
3 years ago
13

In the diagram,

Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = \frac{1}{2}(\text{AD})

                                  = 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

AB = 3 units

Now we have measurements of the segments as,

AB = BC = 3 units

AC = CD = 6 units

AD = 12 units

Total number of segments = 5

Length of segments more than 3 = 3

Probability to pick a segment measuring greater than 3,

= \frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}

= \frac{3}{5}

= 0.6

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Step-by-step explanation:

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2 years ago
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
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Answer:

a

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

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The alternative hypothesis is H_a: \mu_R < \mu_L

b

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

c

Yes it  involves a statistical test

The population parameter(s) of interest is  

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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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