Answer:
A
Step-by-step explanation:
Answer: 15
Step-by-step explanation: Take 12 and change the -3 to a regular 3.
(12 + 3 = 15.)
Whichever number in the question that’s bigger determines what integer it will have.
Answer:
25 times
Step-by-step explanation:
p(HT) p(hh) p(tt) p(HT)
h-heads
t-tails
p(hh)=(1/4*100)
25
Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
Answer:
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It weighs 2 lbs or more
Event B: Delivered by UPS
15% of the packages that are delivered by UPS weighs 2 lbs or more.
This means that 
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more