Answer:
P(A)=0.55
P(A and B)=P(A∩B)=0.1265
P(A or B)=P(A∪B)=0.7635
P(A|B)=0.3721
Step-by-step explanation:
P(A')=0.45
P(A)=1-0.45=0.55
P(B∩A)=?
P(B|A)=0.23
P(B|A)=(P(A∩B))/P(A)
0.23=(P(A∩B))/0.55
P(A∩B)=0.23×0.55=0.1265
P(A∪B)=P(A)+P(B)-P(A∩B)
=0.55+0.34-0.1265
=0.7635
P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721
Answer:
55.8
Step-by-step explanation:
Answer:
12 cm
Step-by-step explanation:
This would be the cubic root of 1728
= 12 cm
( 1729 is known as Ramanajan's number. Look it up - it's interesting)
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
