Answer:
a. 0.1864
b. Events D and P are dependent
Step-by-step explanation:
a.
P(D)=0.29
P(P)=0.59
P(P and D)=P(P∩D)=0.11
We have to find
P(D/P)=?
P(D/P)=P(P∩D)/P(P)
P(D/P)=0.11/0.59=0.1864
Thus, the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight is 18.64%
b.
The events D and P are independent if
P(D/P)=P(D)
P(D/P)=0.1864
P(D)=0.29
As P(D/P)≠P(D), so the events D and P are dependent.
Answer:
-31
Step-by-step explanation:
Let x be the first integer
x+1 is the second integer
x+2 is the third integer
x+ x+1 + x+2 = -96
Combine like terms
3x+3 = -96
Subtract 3 from each side
3x+3-3 = -96-3
3x =-99
Divide by 3
3x/3 = -99/3
x = -33
The integers are
-33
-33+1 = -32
-33+2 = -31
The largest integer is -31
Answer:
4
Step-by-step explanation:
Solve the terms in parentheses first. We'll start on the denominator.
The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:
Simplify the denominator:
Solve the fractions in the numerator:
The problem should now read:
There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:
Using a calculator, simplify the numerator:
The fraction should now read:
There is a denominator in the numerator. This can be brought down to the overall denominator:
Factor 19683:
Simplify the exponents:
The following fraction will be your answer: