Answer:
12
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2+ b^2=c^2
In our case, we know b, which is 5 and c which is 13.
If we plug that into the equation, we get a^2+ 5^2 = 13^2
Next, we simplify the equation. a^2 + 25 = 169
Then we subtract 25 from 169. 169 - 25 = 144.
Lastly, we do the square root of 144 and we get 12 which is the missing side.
Answer:
a) 450. b) 1:1.25 c) 32 rooms
Step-by-step explanation:
1. 100*4.5 = 450
2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)
3. 64/2 = 32 rooms needed. They have 16.
Sorry if answers are wrong, the picture quality is really poor for me.
Answer:
has to be letter b because they connect and then separate opposite sides
so maybe 6 plus 3 which equals 9. Then add 8 at the end
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