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3 years ago

0.051x40(0.5+0.01)x40 using distributive property

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

Answer:

41.616

Step-by-step explanation:

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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

3 years ago

Sam’s two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large

Gre4nikov [31]

Okay so you have to do 5 times 10 then you will have to do 8 time 8 times 40 so after you get your answer you would do the ratio 50 to 320 50:320

7 0

3 years ago

Read 2 more answers

Find the area of a triangle whose vertices are (0,0), (4,2), (-1,2)

Yakvenalex [24]

Answer:

Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is

5 units².

Step-by-step explanation:

Given:

Let the vertices be,

point A( x₁ , y₁) ≡ ( 0 , 0)

point B( x₂ , y₂) ≡ (4 , 2)

point C(x₃ , y₃ ) ≡ (-1 , 2)

To Find:

Area of Triangle = ?

Solution:

If the Vertices A( x₁ , y₁), B( x₂ , y₂) and C(x₃ , y₃ ) then the Area of Triangle is given by

$\textrm{Area of Triangle}=\dfrac{1}{2}(x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2}))$

Substituting the values we get

$\textrm{Area of Triangle}=\dfrac{1}{2}(0(2-2)+4(2-0)+(-1)(0-2))$

$\textrm{Area of Triangle}=\dfrac{1}{2}(0+8+2))=\dfrac{10}{2}=5\ units^{2}$

Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is

5 units².

7 0

3 years ago

Help ASAP!!!!!!!!!!!!

zepelin [54]

Answer:

x is greater than or equal to -4

Step-by-step explanation:

I am not sure if I have to graph as well so I will just solve the inequality.

3x-12 greater than or equal to 7x+4

+12 +12

3x is greater than or equal to 7x+16

-7x -7x

-4x is greater than or equal to 16

-4x/-4 16/-4

x is greater than or equal to -4

7 0

3 years ago

What is 1/2 as a percent ?

miss Akunina [59]

50% what is half of one hundred

8 0

3 years ago