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
Thus ;

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The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.
To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.
Answer:
P(A∪B)=17/20 or 0.85
P(A∪B')=2/5 or 0.4
P(A'∪B')=4/5 or 0.8
Step-by-step explanation:
There are four font colors so each color had equal chance and thus,
P(A)=1/4
There are 5 font sizes and so not the smallest fonts are 4.Thus,
P(B)=4/5
P(A∪B)=P(A)+P(B)-P(A∩B)
The design is generated randomly so event A and event B are independent.
P(A∩B)=P(A)*P(B)
P(A∩B)=1/4(4/5)=1/5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=1/4+4/5-1/5=1/4+3/5
P(A∪B)=17/20 or 0.85
P(A∪B')=P(A)+P(B')-P(A∩B')
P(B')=1-P(B)=1-4/5=1/5
P(A∩B')=P(A)*P(B')=1/4*1/5=1/20
P(A∪B')=P(A)+P(B')-P(A∩B')
P(A∪B')=1/4+1/5-1/20=9/20-1/20=8/20
P(A∪B')=2/5 or 0.4
P(A'∪B')=P(A∩B)'
P(A'∪B')=1-P(A∩B)
P(A'∪B')=1-1/5=4/5
P(A'∪B')=4/5 or 0.8
5/3 go to wolfram for math questions