Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

Answers

Answer 1

Answer:

[tex]P(F/E) = 0.6[/tex]

Step-by-step explanation:

If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].

Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]

Here the two events given are [tex]E[/tex] and [tex]F[/tex].

[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]

and [tex]P(E) = 0.5[/tex]

As per the above formula that we have already discussed, the formula can be written as:

[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]


Related Questions

what value for n makes the following sentence true ?

2( n+3 )=5

ILL MARK BRAIIST !!!

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

12. Write the EQUATION for 125 is what percent of 200.
A 125 = p x 200
B 125 = p/200
C 125/p = 200
D 125 = 200/2

Answers

Answer:

Step-by-step explanation:

125 =200p

125/p=200

So the answer is option D

The correct equation for 125 is what percent of 200 is:

C (125/p = 200).

To write the equation for 125 is what percent of 200, follow these steps:

Step 1: Identify the unknown value.

In this case, looking for the percent, which can represent as p.

Step 2: Set up the equation.

To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.

Step 3: Simplify the equation.

To simplify, divide both sides of the equation by 200 to isolate p:

125/200 = p/100

Step 4: Simplify further.

To simplify the left side, divide both the numerator and denominator by 25:

5/8 = p/100

Step 5: Rewrite the equation.

Finally, rewrite the equation as:

125/p = 200

Therefore, the correct equation for 125 is what percent of 200 is:

C (125/p = 200).

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In this picture B and F are
midpoints.
x=[ ? ]

Answers

Answer: x = 10

see in the picture, ΔACE has:

+) BF//AE

+) B and F are  midpoints.

=> BF is the median line of the triangle ACE

=> BF = 1/2. AE

=> AE = 2BF

⇔ 5x - 4 = 2.23 = 46

⇔ 5x = 46 + 4 = 50

⇔ x = 50/5 = 10

Step-by-step explanation:

HELP ME PLEASE Find the slope of the line and write it as a rate of change.

Answers

A slope is also known as the gradient of a line. The rate of change is $0.13/ mile.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given two of the points on the line of the function (7000, 900) and (20000, 2600). Now, The rate of change for the given function is the slope of the line as shown in the graph. Therefore, the rate of change will be,

Rate of change = ($2600 - $900)/(20,000 miles - 7,000 miles)

                         = 1700 / 13000

                         = $0.13/ mile

Hence, the rate of change is $0.13/ mile.

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The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?

Answers

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

How many miles per hour? please help i will give brainliest<3

Answers

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

There are 36 doughnuts in 3 boxes.
How many doughnuts are in 7 boxes?

Answers

Answer:

x=84

Step-by-step explanation:

[tex]\frac{36}{3}=\frac{x}{7}[/tex]

(cross multiply)

252=3x

(divide both sides by 3)

x=84

80+100??????????????????​

Answers

Answer:

180

Step-by-step explanation:

8 0

+ 1 0 0

1 8 0

What is the median 5,7,9,10,16,17,20

Answers

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1

Answers

look it up lol thats what i di

How many gallons of a 70% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 60% antifreeze?

Answers

Answer:

350 gallons

Step-by-step explanation:

Let x = number of gallons of 70% solution

   100 = number of gallons of 25% solution

Then, x + 100 = number of gallons of 60% solution

0.70x + 0.25(100) = 0.60(x + 100)

0.70x + 25 = 0.60x + 60

0.10x = 35

      x = 350 gal

Mix 350 gal of 70% solution with 100 gal of 25% solution to obtain 450 gal of 60% solution.

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

Zach spent $2.00 to buy 10 packs of gumHe plans to sell each pack of gum for $ 0.50. Which equation represents the profit, that Zach will make if he sells x packs of gum?

Answers

Answer:

x=$0.50 one pack for 50 cents

Step-by-step explanation:

$2.00= 10

$1.00=5

Frank has a chance of receiving an A grade in statistics, a chance of receiving an A grade in geology, and a chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both). Write your answer as a decimal (not as a percentage).

Answers

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?

Answers

Answer:

65,000 grams

Step-by-step explanation:

1 kilogram = 1,000 grams

The giraffe weighs 65,000 grams.

Please please help me please it’s due today at 6:50pm please please help me please will mark the brainiest please please help me please

Answers

Answer:

6. nebula

7. a white dwarf star

will give branlist

The sum of two numbers is 107, the difference is 51. Find the numbers.

Answers

Answer:

Answer is 79 and 28

Step-by-step explanation:

Let two numbers be x and y.

x + y = 107. --> 1

x - y = 51 -->2

solving above equations,

2x = 158

x =79

y = 28

On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours . Assistant A will work 25hours and assistant B will work the remaining hours . You earn $22 per hour. Assistant A $15 per hour . assistant B earns

Answers

Answer: assistant A earned a total of $550, assistant earned a total of $225 so in a total they earn a total of $775.

Find the arc length of the partial circle.

Answers

answer should be 9.42 units, hopefully this helped ^^

Please help me asap this was due 5 days ago

Answers

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

Solve the system of equations.
3y + 10x - 54 = 0
5y - 2x - 34 = 0
2 =
y =

Answers

Answer:

y=3 x=8  (8,3)

Step-by-step explanation:

12 yd/min =________ft/s

Answers

Answer:

you need yarn

Step-by-step explanation:

3fts times 12 is equal to=kuha ka calculator

Answer: 12 yd/min = 0.6 ft/seconds.

Because: 36/60 = 36  1/60 = 6  1/10 = 3/5 = 0.6

Which of the following results in the expression 0.22 x 86? (1 point)

Answers

18.92 I hope it helps

Answer:

18.22

Step-by-step explanation:

0.52 0.25 0.75 0.620 0.062 from smallest to largest

Answers

0.062, 0.25, 0.52, 0.620, 0.75

Answer:

0.062; 0.25; 0.52; 0.620; 0.75

A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?

Answers

Answer:

50 golf balls

Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

Answer:

50 in each small bucket

Please help! BRAINLIEST to correct answer!

Answers

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[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]

[tex]2x( {x}^{2} + x - 20) = [/tex]

[tex]2x(x - 4)(x + 5)[/tex]

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The correct answer is (( a )) .

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The first option is the correct one.

[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]

[tex]2x( {x}^{2} + x - 20)[/tex]

[tex]2x(x - 4)(x + 5)[/tex]

(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole

Answers

Answer:

The distance 'd' between T and S:

[tex]d=10[/tex]

Step-by-step explanation:

As the point 'T' is located at (2, -4)

So, the point 'T' has the coordinates (2, -4)

And the point 'S' is located at (2, 6)

So, the point 'T' has the coordinates (2, 6)

The distance 'd' between T and S can be computed using the formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]d=10[/tex]

Therefore, the distance 'd' between T and S:

[tex]d=10[/tex]

Answer:

t and s

Step-by-step explanation:

A compound proposition that is always ___________ is called a contradiction. A. True B. False

Answers

Answer:

A compound proposition that is always false is called a contradiction

Step-by-step explanation:

A compound proposition that is always false is called a contradiction. Option B is correct.

What is a contradiction?

Contradiction is defined as a situation or set of diametrically opposed ideas. Declaring publicly that you are an environmentalist but failing to remember to recycle is a contradiction.

A compound proposition that is always false is called a contradiction. A contradiction is a statement that contradicts itself, i.e., a statement that cannot be true at the same time. When two statements are combined and lead to a logically untenable conclusion, they are said to be contradictory. If a statement contradicts itself, it must be false. For example, the proposition "This statement is false" is a contradiction, as it leads to a logically untenable conclusion.

Thus, a compound proposition that is always false is called a contradiction. Option B is correct.

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Will spent $3.75 for 5 1/2 pounds of granola. What is his unit rate in dollars per pound to the nearest cent?

Answers

Answer:

Unitary cost (per pound)= $0.682

Step-by-step explanation:

Giving the following information:

Total cost= $3.75

Total pounds= 5.5 pounds

To calculate the unitary cost of each pound, we need to use the following formula:

Unitary cost= total cost / total pounds

Unitary cost per pound= 3.75 / 5.5

Unitary cost per pound= $0.682

Quinzels earn 1254 each month his total deductions is 20%

Answers

Answer:

I believe its $250.80

Step-by-step explanation:

Because 20% of 1254 is 250.8

Answer: Well what you said is not really a question more a statement. But anyway, 1254*.80=1003.20$. So that would be what’s left, the 20% deduction is 250.80$.

To which subjects of a real number does the number -22 belong

Answers

Answer:

-22 belongs in integers and rational numbers.

Step-by-step explanation:

-22 can't fit into the natural numbers category because it is a negative number. That also means that it can't go into the whole numbers category. It can fit into the Integers category because it is a number without a fraction. And if it can fit into integers it can fit into the rational numbers as well.

Hope this helped you! ;-D

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