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ch4aika [34]
3 years ago
7

Which is bigger 12.5% or 3/20

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0
It's 0.125 which is 12.5% or 0.15 which is 3/20 in fraction form so 3/20 is bigger
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Step-by-step explanation:

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Find the vertex, focus, directrix, and focal width of the parabola. x2 = 28y
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X^2 = 28y 
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A survey of 400 randomly selected high school students determined that 68 play organized sports. ​(a) What is the probability th
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Answer: a) The probability that a randomly selected high school student plays organized​ sports = 0.17

b) The randomly selected high school student is unlikely to play organized​ sports.

Step-by-step explanation:

Given : A survey of 400 randomly selected high school students determined that 68 play organized sports.

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\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{68}{400}=0.17

In percent , the  probability that a randomly selected high school student plays organized​ sports is 17%.

since 17% lies in the interval of unlikely events (0%, 25%).

It means that the randomly selected high school student is unlikely to play organized​ sports.

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City health officials will conduct a two-sample t-test for a difference in means to investigate whether
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Answer:

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means      

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

<u><em>Step(ii):-</em></u>

T-test statistic

               t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }

     where

             S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2}   }{n_{1} +n_{2}-2 }

            S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2}   }{22 +15-2 }

           S² =  637.1428

           S = √637.1428 = 25.24168  

The standard deviation of the sample 'S' = 25.24168   

<u><em>Step(iii):-</em></u>

<u><em>Null Hypothesis:H₀:</em></u>

There is no difference between the means

<u><em>Alternative Hypothesis:H₁:</em></u>

There is a difference between the means

         T-test statistic

               t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }

              t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }

             t =   2.366

Degrees of freedom

           γ = n₁+n₂ -2 = 22+15-2 = 35

     t₀.₀₅ = 2.0301

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means          

3 0
3 years ago
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