Answer:
Step-by-step explanation:
Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
5 red cards.
Ans: 26C5 = 26!/[21!*5!] = 65780
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4 spades and 1 card that is not a spade.
Ans: [13C4*39C1] = 27885
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3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.
Ans: 12C3*40C2 = 171,600
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P(1) = P(-1)
P(1) = 3 - a + b
P(-1) = -3 + a + b
-> 3 - a + b = -3 + a + b
-> 3 - a + b + 3 - a - b = 0
-> 6 - 2a = 0
-> a = 3.
P(2) = 24 - 2a + b -> 24 - (2a - b) = 16 -> 2a - b = 8
-> 6 - b = 8
b = -2.
So, a = 3 and b = -2
Recheck : P(1) = 3 - 3 + (-2) = -2
P(-1) = -3 + 3 + (-2) = -2 => P(1) = P(-1) (true)
P(2) = 24 - 6 + (-2) = 16.
Answer:
Step-by-step explanation:
Let X be the solvent present
Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.
X is N(101.3, 3.68)
a) 
Probability = 0.6368
b) 
means Z score = 1.88
X=100+1.88(s) =101.3
s=1.3/1.88=0.6914
Answer:
used formula to find Area of parallelogram
area of parallelogram =b× h
Step-by-step explanation:
solution :
given ,
h = 7cm
b = 9 cm
we know ,
Area of parallelogram = b× h
=63cm²
V/-8 = 4v
V= -32v
V+32v=0
33v=0
V=0
