1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8090 [49]
3 years ago
11

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

Mathematics
1 answer:
Dmitriy789 [7]3 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
Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE
inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to 20\ units

Part 3) The area is equal to 25\ units^{2}

Step-by-step explanation:

we have

A(5,0), B(2,4), C(-2,1),D(1,-3)

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

A(5,0),B(2,4)

substitute in the formula

d=\sqrt{(4-0)^{2}+(2-5)^{2}}

d=\sqrt{(4)^{2}+(-3)^{2}}

d=\sqrt{25}

AB=5\ units

Find the distance BC

B(2,4), C(-2,1)

substitute in the formula

d=\sqrt{(1-4)^{2}+(-2-2)^{2}}

d=\sqrt{(-3)^{2}+(-4)^{2}}

d=\sqrt{25}

BC=5\ units

Find the distance CD

C(-2,1),D(1,-3)

substitute in the formula

d=\sqrt{(-3-1)^{2}+(1+2)^{2}}

d=\sqrt{(-4)^{2}+(3)^{2}}

d=\sqrt{25}

CD=5\ units

Find the distance AD

A(5,0),D(1,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(1-5)^{2}}

d=\sqrt{(-3)^{2}+(-4)^{2}}

d=\sqrt{25}        

AD=5\ units

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

B(2,4),D(1,-3)

substitute in the formula

d=\sqrt{(-3-4)^{2}+(1-2)^{2}}

d=\sqrt{(-7)^{2}+(-1)^{2}}

BD=\sqrt{50}\ units        

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

BD^{2}=AD^{2}+AB^{2}

substitute

(\sqrt{50})^{2}=5^{2}+5^{2}

50=50 -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

A=b^{2}

we have

b=5\ units

A=5^{2}=25\ units^{2}

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

P=4b

we have

b=5\ units

P=4(5)=20\ units

6 0
3 years ago
What is the actual distance around the garden?It took Clare 30 minutes to walk around the garden at a constant speed
konstantin123 [22]

Answer:

f she walks for 30 minutes, that means she was traveling at about 280 feet per minute (8,400÷30=280), or about 16,800 feet per hour

Step-by-step explanation:

8 0
3 years ago
Kudrey was making a box plot. He first plotted the least and greatest values. He then divided the distance into half, and then d
lidiya [134]

Step-by-step explanation:

When creating a box plot, the 3 middle values are not found by dividing the distance between the max and min values and then dividing the distances in half again. The 3 middle values are found by finding the median of the set of values, the median of the first half of values, and the median of the last half of values. For example, if the data values were 2, 3, 3, 5, 8, 8, 9, 10, 11, the median is 8, the median of the first half is 3, and the median of the last half is 9. The points to plot to make the box plot are then 2, 3, 8, 9, and 11.

3 0
3 years ago
How do you find the answer to 2 yards equals how many inches?
Elodia [21]

Answer:

Step-by-step explanation:

the answer is 72 inches since mostly yards are 3 feet long its 6 feet converted to inches and the way u do that is 6 times 12

4 0
3 years ago
Read 2 more answers
Makayla has $8 to buy tickets at the school fair. Each ticket costs @1.5. Which inequality best represents how many tickets she
cricket20 [7]

Answer:

n\le 5

Step-by-step explanation:

Let n be the number of tickets Makaya has to buy.

If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.

Makayla has $8 to buy tickets at the school fair, thus

1.5n\le 8\\ \\n\le \dfrac{8}{1.5}\\ \\n\le \dfrac{80}{15}\\ \\n\le \dfrac{16}{3}\\ \\n\le 5\dfrac{2}{3}

The maximum number of tickets Makaya can buy is 5, so

n\le 5

5 0
4 years ago
Other questions:
  • Find the surface area of the cube.
    9·2 answers
  • Solve for x: |3x + 12| = 18 (5 points)
    12·1 answer
  • Find the volume of a sphere with a radius of 10.use pi or 3.14 to round to the nearest hundredth.
    14·2 answers
  • A balloon has a volume of 2.9 l at 320 kelvin. if the temperature is raised to 343 k, what will its volume be?
    5·1 answer
  • Complete the table time and distance
    10·1 answer
  • Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31
    15·1 answer
  • HELP PLEASE Find the center and radius of the circle.
    5·2 answers
  • for one roll of die, let a be the event "even" and let b be the event "4,6" find the probability p(a)
    11·1 answer
  • The owner of a small business buys coats for $60 each. He sells the coat for $72.00 each. What percent of the purchase price is
    14·2 answers
  • Solve the system by graphing <br> y = x -1 y = -2x -4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!