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Afina-wow [57]
3 years ago
11

According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Given:

P(A\cap B)=\dfrac{3}{4}

P(B)=\dfrac{4}{5}

To find:

The P(A|B).

Solution:

Conditional probability:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Substituting the given values, we get

P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}

P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}

P(A|B)=\dfrac{16}{16}

Therefore, the correct option is B.

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The ratio of boys to girls at a movie is 3:4 . If there are 16 girls ​, how many boys are at the​ movie?
Annette [7]

Answer:

12 boys

Step-by-step explanation:

  1. Set up a proportion: \frac{3}{4} = \frac{x}{16}  
  2. Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

8 0
3 years ago
Read 2 more answers
For every 1 litre of water used to make a medicine, 193ml of sucrose and 61ml of saline solution are used. Express the amount of
Brilliant_brown [7]
<h3>Answer is the ratio 1000:193:61</h3>

Explanation

1 liter = 1000 mL

For every 1000 mL of water, we need 193 mL of sucrose and 61 mL of saline solution.

The ratio is therefore 1000:193:61

We cannot simplify this ratio any further because the GCF of those three terms is 1.

A quick way to see this is to look at how 1000 = (2*5)^3 has prime factors 2 and 5, but 2 nor 5 are factors of 193 and 61. So only 1 is a factor of all three values 1000, 193, 61

7 0
3 years ago
19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D
RoseWind [281]

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

<h3>Cyclic Quadrilateral</h3>

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

learn more on angles here: brainly.com/question/19430381

6 0
2 years ago
Select the boxes in the table to show whether the power of 10 is equal to 10^-3, Less then 10^-3, or greater than 10^-3, when wr
Licemer1 [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
myra earns 110$ per wewk at her part time job after school how much money does myra earn in one month​
stiv31 [10]

4x110=440 so the answer is 440

5 0
3 years ago
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