So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
-4x-9y=-13 +
0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1

x=1
y=1

8 0

3 years ago

Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two num

Bumek [7]

Answer

:X + Y = 5.678

X ± 9.876 = Y

Step-by-step explanation:

needed points

4 0

3 years ago

Read 2 more answers

Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2

Gelneren [198K]

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

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ 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 $P(A \cap B) = 0.15$

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

$P(A) = 0.15*0.2 + 0.93*0.8 = 0.774$

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

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938$

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

3 0

2 years ago