Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
Answer:
P(B|Y)=0.4
Step-by-step explanation:
We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y
And we are asked to find P(B|Y)
The formula for P(B|Y)= ![\frac{P(B\cap Y)}{P(Y)}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28B%5Ccap%20Y%29%7D%7BP%28Y%29%7D)
From Venn diagram, ![P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}](https://tex.z-dn.net/?f=P%28B%5Ccap%20Y%29%3D%5Cfrac%7Bn%28B%5Ccap%20Y%29%7D%7B26%7D%20%3D%5Cfrac%7B8%7D%7B26%7D%20%3D%5Cfrac%7B4%7D%7B13%7D)
And P(Y)=![\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28Y%29%7D%7B26%7D%3D%5Cfrac%7B8%2B12%7D%7B26%7D%3D%20%5Cfrac%7B20%7D%7B26%7D%3D%20%5Cfrac%7B10%7D%7B13%7D)
Hence P(B|Y)=![\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Cfrac%7B4%7D%7B13%7D%29%7D%7B%5Cfrac%7B10%7D%7B13%7D%7D%20%3D%5Cfrac%7B4%7D%7B10%7D%3D0.4)
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
<h2>Hey there! </h2><h2>
![\bold{Formula: \dfrac{a \times c + b}{c}}](https://tex.z-dn.net/?f=%5Cbold%7BFormula%3A%20%5Cdfrac%7Ba%20%5Ctimes%20c%20%2B%20b%7D%7Bc%7D%7D)
</h2><h2>
![\bold{10\dfrac{2}{3}=}\bold{\dfrac{10\times3+2}{3}}](https://tex.z-dn.net/?f=%5Cbold%7B10%5Cdfrac%7B2%7D%7B3%7D%3D%7D%5Cbold%7B%5Cdfrac%7B10%5Ctimes3%2B2%7D%7B3%7D%7D)
</h2><h2>
![\bold{Solving\ for\ your\ numerator\downarrow}}\\\\\bold{10\times3+2=?}\\ \bold{10\times3=30}\\ \bold{30+2=32}](https://tex.z-dn.net/?f=%5Cbold%7BSolving%5C%20for%5C%20your%5C%20numerator%5Cdownarrow%7D%7D%5C%5C%5C%5C%5Cbold%7B10%5Ctimes3%2B2%3D%3F%7D%5C%5C%20%5Cbold%7B10%5Ctimes3%3D30%7D%5C%5C%20%5Cbold%7B30%2B2%3D32%7D)
</h2><h2>
![\bold{b=32\leftarrow numerator}\\\\\\\\ \bold{c =3\leftarrow denominator}](https://tex.z-dn.net/?f=%5Cbold%7Bb%3D32%5Cleftarrow%20numerator%7D%5C%5C%5C%5C%5C%5C%5C%5C%20%5Cbold%7Bc%20%3D3%5Cleftarrow%20denominator%7D)
</h2><h2>
![\boxed{\boxed{\bold{Answer: \dfrac{32}{3}}}}\huge\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cbold%7BAnswer%3A%20%5Cdfrac%7B32%7D%7B3%7D%7D%7D%7D%5Chuge%5Ccheckmark)
</h2><h2>Good luck on your assignment and enjoy your day!</h2><h2>~
![\frak{LoveYourselfFirst:)}](https://tex.z-dn.net/?f=%5Cfrak%7BLoveYourselfFirst%3A%29%7D)
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