Answer:
33, 97
Step-by-step explanation:
Start by setting up equations for the equivalent angles
3z + 2 + 79 = 180
3z = 99
z = 33
3z + 2 = y
3(33)+2 = y
97 = y
Answer:
.
c)"At least 1 O+" is equivalent to "not none O+" (forgive the incorrect English).
P(not none O+)+P(none O+)=1
P(not none O+)=1-P(none O+)
P(not none O+)=1-0.00491
P(at least 1 O+)=0.995
Step-by-step explanation:
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
Answer Using the method of alligation. 40.0= 20/(10/20) qts of 50% solution to add to your 20 qts of 20% solution. 60.0= (20+40.0) qts of the final 40% solution.
