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hjlf
3 years ago
12

Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

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

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80

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10x - 4 = 16<br><br><br> What does x equal to?
Dennis_Churaev [7]

Answer:

x = 2

Step-by-step explanation:

First isolate the variable:

10x - 4 = 16

      +4   +4

10x = 20

Then get x by itself:

10x = 20

x = 20/10

x = 10

5 0
3 years ago
Can someone help it has to be a polynomial
Damm [24]

Answer: Width = 24 inches

Step-by-step explanation:

Let W represent the width of the rectangular sign.

The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be

W/2 + 6

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be

W(W/2 + 6) = 432

W²/2 + 6W = 432

Multiplying both sides of the equation by 2, it becomes

W² + 12W = 864

W² + 12W - 864 = 0

W² + 36W - 24W - 864 = 0

W(W + 36) - 24(W + 36) = 0

W - 24 = 0 or W + 36 = 0

W = 24 or W = - 36

Since W cannot be negative, then

W = 24

5 0
3 years ago
Read 2 more answers
The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base
den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = 36\frac{4}{5} square units

                             = \frac{184}{5} square units

Height of the triangle = 9\frac{1}{5} units

                                    = \frac{46}{5} units

Formula to calculate the area of a triangle is,

Area = \frac{1}{2}(\text{Base})(\text{Height})

\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})

\frac{184}{5}= (\frac{46}{10})\times (\text{Height})

Height = \frac{184}{5}\times \frac{10}{46}

           = \frac{368}{46}

           = 8 units

Therefore, height of the given triangle is 8 units.

6 0
2 years ago
Read 2 more answers
Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which
tamaranim1 [39]
<h3><u>Answer</u>:- </h3>

\longrightarrow \sf 75+ 30(h-1)

<h3><u>Solution:-</u></h3>

<u>Given </u><u>that </u><u>:</u><u>-</u>

  • job last for h hours
  • Cost of job lasting more than 1 hour = $30
  • Cost for the first hour = $75

\leadstoRemaining hours for which the job will last after first hour= (h-1)

<u>Therefore</u>,

Cost for subsequent hours = 30×(h-1)

= 30(h-1)

Total Cost for job = Cost for 1st hour + Cost for subsequent hours

\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}

7 0
2 years ago
Area of the triangle is 124 square inches, what are the base and height
notsponge [240]
248=bh is the answer
4 0
3 years ago
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