Answer:
Step-by-step explanation:
Given
Required
Simplify the expression
Express the square root of 121 as 11
Express 90 as 9 * 10
Split the surd to 2
Express the square root of 9 as 3
Hence, the result of the expression is
Answer:
See the attached file.
Step-by-step explanation:
Answer:
(a)2/3
(b)2/3
(c)9/13
Step-by-step explanation:
Total Number of Cards in new Deck=39
Hearts(Red)=13
Diamonds(Red)=13
Spades(Black)=13
(a)P(drawing a red card)
Total number of red cards = 13+13=26
P(drawing a red card)=26/39=2/3
(b)Drawing a heart or a red card
Number of Hearts=13
Number of red cards=26
Number of Red Hearts = 13
Since the two events are not mutually exclusive
P(Hearts or Red) = P(Hearts) + P(Red) - P( Hearts and Red)
P(H∪R)=P(H)+P(R)-P(H∩R)
=13/39 + 26/39 - 13/39
=26/39 =2/3
(c)Drawing a jack or a red card.
Number of Jacks=3
Number of red cards=26
Number of Red Jacks = 2
Since the two events are not mutually exclusive
P(Jack or Red) = P(Jacks) + P(Red) - P( Jacks and Red)
P(J∪R)=P(J)+P(R)-P(J∩R)
=3/39 + 26/39 - 2/39
=27/39 =9/13