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3 years ago

14

Line RS bisects PQ at point R. Find RQ if PQ = 4 3/4

2 answers:

svetlana [45]3 years ago

8 0

PQ is bisected by RS at R. It means that PRQ is a line segment with PR = RQ and each of half of PQ.

RQ = PQ/2 = 1/2 [ 4 3/4 ] = 1/2 * 19/4 = <em>19/8 </em> = 2 3/4

Citrus2011 [14]3 years ago

3 0

$|PQ|=2\cdot| RQ|\ \ \ \Rightarrow\ \ \ 4 \frac{3}{4} =2\cdot |RQ|\ /:2\ \ \ \Rightarrow\ \ \ \frac{19}{4}\cdot \frac{1}{2} = |RQ|\\\\|RQ|=\frac{19}{8}=2 \frac{3}{8}$

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<em>The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

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<em> Actually 30% of all drivers make this mistake at the given intersection</em>

Step-by-step explanation:

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

Given Population proportion = 30% or 0.30

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<em>Alternative hypothesis : H₁:p≠0.30</em>

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

a)

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$Z = \frac{p^{-}-P }{\sqrt{\frac{p(1-p)}{n} } }$

$Z = \frac{0.2616-0.30 }{\sqrt{\frac{0.30(1-0.30)}{600} } }$

Z = -2.053

<em> |Z| = |-2.053| = 2.053</em>

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 1.96</em>

<em>The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

<u><em>Conclusion:</em></u><em>-</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>Given level of significance = 0.01</em>

<em>Z₀.₀₁ = 2.576</em>

<em>The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

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3 years ago