All categories

2 years ago

Given P(A)= 0.95 and P(A∩B)=0.37. Find P(B∣A)

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

6 0

Answer:

$P(A)= 0.95 \: and \: P(A∩B)=0.37. \\ Find \: P(B∣A) \\ P(B∣A) = \frac{P(A∩B)}{P(A)} \\ = \frac{0.37}{0.95} \\ \therefore \: P(B∣A) = 0.389$

You might be interested in

Find the area of the composite shape

Alexxandr [17]

Answer:

$13.735$ $ft^{2}$

Step-by-step explanation:

Area of a circle.

$A=\pi r^{2}$

$r=d/2\\r=8/2\\r=4$

$A=\pi \times 4^{2}$

$A=16\pi$

$A \approx 50.2654824574$

Area of a square.

$A=s^{2}$

$A=8^{2}$

$A=64$

Subtract the area of the square with the area of the circle.

$64-50.2654824574$

$= 13.7345175426$

I hope it helps.

Brainliest much appreciated.

8 0

2 years ago

8 Line in the xy-plane contains points from each of Quadrants II, III, and IV, but no points from Quadrant I. Which of the follo

iren2701 [21]

Answer:

The correct option is D.

Step-by-step explanation:

The slope of a line is the change in y with respect to x.

$m=\frac{y_2-y_1}{x_2-x_1}$

If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.

If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.

If the slope of a line is positive it means the value of y increases as x increases.

Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.

If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.

Therefore the correct option is D.

6 0

2 years ago

Identify the property being shown here, assuming that a + 2 = y. (a + 2)/3 = y/3

allochka39001 [22]

Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Recall:

What is done to both sides of an equation will determine what property of equality was applied to the equation.

Thus, given the equation:

a + 2 = y

The following was obtained:

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Learn more here:

brainly.com/question/13260378

4 0

2 years ago

Drag each equation to show if it could be a correct first step to solving the equation

mote1985 [20]

Answer:

9(8 + 2 = 10) = 90

9 times 10 = 90

x = 8

5 0

3 years ago

The formula for the circumference

Marina CMI [18]

Answer:

2πr or πd

Step-by-step explanation:

Where

π= pi

r= radius of the circle

d= diameter of the circle

4 0

2 years ago