≠ means not equal to
L x w = 36
2L + 2w = 30
1. Find the multiples of 36
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
2. Figure out which set of numbers multiplied by 2 equals 30.
For 1 and 36:
2(1) + 2(36) = 2 + 72 = 74 ≠ 30
For 2 and 18:
2(2) + 2(18) = 4 + 32 = 36 <span>≠ 30
For 3 and 12:
2(3) + 2(12) = 6 + 24 = 30
So your answer is 3 and 12</span>
Answer:
1)https://answers4you-ph.com/math/question513389162
2)https://learning-ph.com/math/question512796522
Step-by-step explanation:
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
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
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 ![P(A \cap B) = 0.15](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.15)
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So
![P(A) = 0.15*0.2 + 0.93*0.8 = 0.774](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.15%2A0.2%20%2B%200.93%2A0.8%20%3D%200.774)
a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.15%7D%7B0.774%7D%20%3D%200.1938)
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Answer:
x = -1, 0, 2
Step-by-step explanation:
p(x) = 5x³ − 5x² − 10x
Factor the greatest common factor:
p(x) = 5x (x² − x − 2)
Now factor the quadratic. You can use the AC method, the quadratic formula, the rational root test, or trial and error.
p(x) = 5x (x − 2) (x + 1)
Finally, set each factor equal to 0 and solve for x.
5x = 0 → x = 0
x − 2 = 0 → x = 2
x + 1 = 0 → x = -1