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3 years ago

Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of

Mathematics

2 answers:

miskamm [114]3 years ago

8 0

Answer:

P(A and B) = P(AnB)

Step-by-step explanation:

$P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315$

IrinaK [193]3 years ago

7 0

Answer: 0.392

Step-by-step explanation:

So P(A)xP(B|A)= P(AnB)

Plug in

0.56x0.7=0.392

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The population of a town increases by 4 % every year . In the last year the population of the town was 110000.

TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

$P(y)$ represent the total population, and $y$ represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

$P(y)=110000(1.04)^y$

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

$P(1)=110000(1.04)^1=114400$

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

$P(2)=110000(1.04)^2=118976$

The population next year will be 118,976 people.

3 0

3 years ago

Help due in 10 minutes!!

Pavlova-9 [17]

Answer:

A its like right there in the chart

Step-by-step explanation:

hope this helped

7 0

3 years ago

Read 2 more answers

Question 6 of 15<br> Which of the following is a polynomial?

disa [49]

Answer:

Step-by-step explanation:

5 0

3 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Nataly_w [17]

Answer:

12 small boxes

8 large boxes

Step-by-step explanation:

let x be the number of small boxes shipped

let y be the number of large boxes shipped

This means:

the total number of boxes is 20, so

x + y = 20

the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so

50x + 100y = 1400

Then, solve

First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50

x + 2y = 28

Now, subtract the two equations:

x + 2y = 28

- (x + y = 20)

y = 8

Now plug this into the equation x + y = 20

x + 8 = 20

x = 12

So the number of small boxes is 12 and the number of large boxes is 8.

Here's a graph:

7 0

3 years ago

A miner has 3 kilograms of gold dust. She needs to share it evenly with four partners. How much gold should each of the five peo

djverab [1.8K]

600 g

Explanation:
Since 1 kilogram =1000 grams
Therefore 3 grams= 3000 grams
Now divide it with 5 partners
3000 divided by 5=600 grams

Each person will get 600 grams of gold dust

6 0

3 years ago