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
Answer:
x=4y+1
Step-by-step explanation:
3x−7=12y−4
Step 1: Add 7 to both sides.
3x−7+7=12y−4+7
3x=12y+3
Step 2: Divide both sides by 3.
3x
3
=
12y+3
3
x=4y+1
Answer:
In the figure, ABO and BCO equal to 35
Step-by-step explanation:
Answer:
7/ 36
Step-by-step explanation:
Roll of 2 fair six sided die :
Sample space = 6² = 36
Sum of 7:
(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6
Probability = required outcome / Total possible outcomes
Required outcome = 7
Total possible outcomes = 36
P(obtaining a sum of 7) = 7 / 36
Answer:
the supplementary angles are 41° and 139°
Step-by-step explanation:
let one of the the supplymentary angle be x
the other angle = 3x + 16
now, since we know they are supplementary, their sum = 180°
=》x + 3x + 16° = 180°
=》4x = 180° - 16°
=》x = 164° ÷ 4
=》x = 41 °
so, one of the angles is x = 41°
the other one is : 3x + 16
=》(3 × 41°) + 16°
=》123° + 16°
=》139°