Answer:
15
Step-by-step explanation:
If A||B then the sum of given angles must be equal to 180°
2x + 5 + 5x - 80 = 180 add like terms
7x - 75 = 180 subtract 75 from both sides
7x = 105 divide both sides by 7
x = 15
Answer:
x=3
y=5
Step-by-step explanation:
3×3=9
5×5=25
9+25=34
[3^2+5^2=34]
3^2=9
2×5=10
9+10=19
[3^2+2×5=19]
60 children tickets and 190 adult tickets were sold.
<u>Step-by-step explanation:</u>
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
60 children tickets and 190 adult tickets were sold.
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
