5 coins are put in a bag. 3 of the coins are weighted with the probability of flipping heads being three times as great than the probability of flipping tails; the remaining coins are fair. One of these coins is selected at random and then flipped once. What is the probability that a weighted coin was selected given that heads was flipped?

Answers

Answer 1

Answer:

9/13 = 0.6923

Step-by-step explanation:

We start by defining

A as event that head was flipped

B1 = event that coin is biased

B2 = event that it is unbiased

P(B1) = 3/5

P(B2) = 2/5

P(A|B1) = 3/4

P(A|B2) = 2/4 = 1/2

When we solve this using bayes theorem we have to find

p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)

= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5

= 0.45/0.45+0.2

= 0.45/0.65

= 0.6923


Related Questions

Hey can Any body help me today at 10:15 help me with Geometry if you don’t mind

Answers

sure i’ll help just post the questions so i’ll kno

Name the intersection of the plane P and the plane that contains points B, C, and D​

Answers

Answer:

BC

Step-by-step explanation:

When planes intersect it forms a line that belongs to both planes

In this case we have the plane P and the plane with B, C, D points on it

The intersection line is BC as we see on the picture

(02.02)Line segment EF is shown on a coordinate grid:

A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2.

The line segment is reflected about the x-axis to form E'F'. Which statement describes E'F'?

E'F' and EF are equal in length.
E'F' is half the length of EF.
E'F' is greater than twice the length of EF.
E'F' and EF are perpendicular.

Answers

Answer:b

Step-by-step explanation:

The sun of the arithmetic sequence is equal to three times the sum of the infinite geometric sequence.

Answers

Answer:9

Step-by-step explanation:sun *3

x-2/x+1 > 0, what si da solution set?

Answers

Answer:

u need to have better grammer

Step-by-step explanation:

miley cyrus wants to get a 90 score on a 30 question test. how many questions do you need to get right in order to get a 90% score

Answers

Answer:

She needs to get 27/30 right.

Step-by-step explanation:

Please help!
70+23x-5+110+14x=360 (please show step bc I need to turn in work-paper) Thank you!

Answers

x = 5

explanation

70 + 23x - 5 + 110 + 14x = 360

first you group the like terms

23x + 14x + 70 - 5 + 110 = 360

then combine the like terms

23x + 14x    70 - 5 + 110

37x + 175 = 360

subtract 175 from both sides

175 - 175 = 0     360 - 175 = 185

to get

37x = 185

divide both sides by 37

37x/37 = 0     185/37= 5

which gives you

x = 5

HEY CAN ANYONE PLS HELP ME OUT IN DIS!!!!

Answers

Answer:

6 toppings

Step-by-step explanation:

The pizza is charged to 9$ per pizza and topping are 1.25, but heatehr bought it for 15.25$, so all you have to do is the full amount minus the price the pizza is so, 15.25-9=6.25, but its toppings so round it to 6

2.1 x 10^5 +4.3 x 10^4

Answers

Answer:

253,000

Step-by-step explanation:

[tex]10^{5} = 100000[/tex]  [tex]10^{4} = 10000[/tex]  Plug the above answers in: 2.1 × 100,000 + 4.3 × 10,0002.1 × 100,000 = 210,000Plug 210,000 in: 210,000 + 4.3 × 10,0004.3 × 10,000 = 43,000Plug 43,000 in: 210,000 + 43,000210,000 + 43,000 = 253,000

I hope this helps!

I really need help. I’m not good at math someone help please

Answers

1) 50 metres
2) 15 cm

(x4–3x2+1) divided by
(x-1)

Answers

(X4-3x2+1) / X - 1

3x / X - 1

Hope it helps
:)

Frank has $864 in his bank account. His cell phone bill is 1/5 the amount of money he has in his account. He has to give his mother $55.20. How much money will Frank have left in his account?

Answers

Answer:

$117.60

Step-by-step explanation:

Do this:

$864              1              $864

_____    x   ____   =    ______

   1                  5                 5

Then divide $864 by 5

Then take $172.80 - $55.20

That will give you your answer.

Answer:

$636

Step-by-step explanation:

864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.

Using the numbers 8, 6, 4, and 2 write an expression that equals 20 without changing the order of numbers

Answers

Answer:

8 + 6 + 4 + 2 = 20

Step-by-step explanation:

Answer:

8+6+4+2

Step-by-step explanation:

Evaluate b(x)=18−0.5x when x=−2,0, and 5.

Answers

b ( x ) = 18 − 0.5x when x = − 2

b ( - 2 ) = 18 - 0.5 ( - 2 )

b ( - 2 ) = 19

b ( x ) = 18 − 0.5x when x = 0

b ( 0 ) = 18 - 0.5 ( 0 )

b ( 0 ) = 0

b ( x ) = 18 − 0.5x when x = 5

b ( 5 ) = 18 - 0.5 ( 5 )

b ( 5 ) = 15.5

hope that helps :))

The value of the function b(x) = 18 - 0.5x when x = -2, 0, and 5 are 19, 18 and 15.5 respectively.

What is equation?

A formula known as an equation uses the equals sign to express how two expressions are equal.

Given function is b(x) = 18 - 0.5x

Putting x = (-2) in b(x) = 18 - 0.5x

b(x) = 18 - 0.5(-2)

b(x) = 18 - (-1)

b(x) = 18 + 1

b(x) = 19

Putting x = 0 in b(x) = 18 - 0.5x

b(x) = 18 - 0.5(0)

b(x) = 18

Putting x = 5 in b(x) = 18 - 0.5x

b(x) = 18 - 0.5(5)

b(x) = 18 - 2.5

b(x) = 15.5

Hence, required answers are 19, 18 and 15.5 respectively.

Learn more about equation from given link.

https://brainly.com/question/28211721

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What is the solution to the inequality
10x – 7 > 3x + 28
Please answer

Answers

Answer:

x > 5

Step-by-step explanation:

X>5 that the answers becAse

The formula below is known as the
a? + b2= c?

Answers

Answer:

that formula is known as the Pythagorean theorem

Write the slope-intercept form of the equation of the line through the given point with the
given slope.
through: (-1,0), slope = -2

Answers

Answer:

y = -2x  - 2

Step-by-step explanation:

Slope intercept form of equation is y = mx + c

c is intercept and m is slope

given that slope is -2

m = -2

thus, equation in slope intercept will be

y = -2x + c

The given line passes through (-1,0)

y = -2x + c

lets substitute y = 0 and x = -1 in the given equation

0 = -2*-1 + c

0 = 2 + c

c = -2

Thus, the complete slope intercept equation after using the value of c as -2

we have

y = -2x  - 2   answer

4 less than the product of 2 and a number

Answers

(2x)-4

Hope this helps! :D

Answer:

x > 2

Step-by-step explanation:

HELP ME PLS I REALLY

Answers

Answer:

500,000

Step-by-step explanation:

200,000 + 100,000 = 300,000 = pump B

300,000 + 200,000 = 500,000

Pump B + Pump A = Total Amount

A charity sold 475 tickets to a dinner auction. If the charity raised $16,625 in ticket sales, what was the cost of one ticket?

Answers

Answer:

$35

Step-by-step explanation:

you have to divide the total money raised by the amount sold

16,625/475=35

each ticket was $35

and to make sure its correct you can always multiply the amount of 1 ticket to the amount sold

475*35=16,625

Use the distributive property to remove the parentheses.
9(-5)

Answers

Answer:

-45

Step-by-step explanation:

distribute the 9 to everything in the parenthesis

9 will be multiplied by -5

therefore, the answer is -45

I believe all you have to do it do 9 times -5 which would be -45

50 POINTS!!! I WILL GIVE BRAINLIEST TO WHOEVER SHOWS STEPS! THANK YOU!:)))

Show all steps on how you found the answer.
For each function, what is the output of the given input?
For f (x) =4x+7, find f(4)

Answers

Answer:

23

Step-by-step explanation:

If you have something that says it is the f(x) or just f(something) then that is just telling you what the x equals. In this case, x=4 so you plug that into the equation.

This gives you f(4)=4(4)+7. From here, you will use the order of operations to solve.

f(4)=4*4+7

f(4)=16+7

f(4)=23

Answer:

f(4)=23

Step-by-step explanation:

1.f(4)=4(4)+7

2.f(4)=16+7

3.f(4)=23

hope this helps!

A recipe for pasta dough says, “Use 150 grams of flour per large egg.”

How many eggs are needed if 450 grams of flour are used?

Answers

you need 3 eggs because 450/150 is 3

Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers

Answers

Answer: 12.034 yards

Step-by-step explanation:

Given the following :

Height to which egg is protected = 11 meters

Converting this height of 11 meters to yards

Let the height in yards = h

1 meter = 1.094 yards

11 meters = h

(1 * h) = (11 * 1.094)

h = 12.034 yards

Hence, the height in yards to which egg is protected = 12.034 yards

Answer:

it is D

Step-by-step explanation:

hope i helped :D

what is the solution to
25+r = -5(2+8r)+6r

Answers

Step-by-step explanation:

25+r = -5(2+8r)+6r

25+r= -10-40r+6r

25+r= -10-34r

34r +r = -25-10

35r= -35

r= -35/35

r= -1

Answer:

[tex]\huge\boxed{r=-1}[/tex]

Step-by-step explanation:

To solve for this equation, our goal is to isolate the variable r on one side by reversing the equation.

We have the equation [tex]25 + r = -5(2+8r)+6r[/tex]. Let's simplify it.

Apply the distributive property on the right:

[tex]25 + r = (-5 \cdot 2) + (84 \cdot -5) + 6r\\\\25+r = -10 - 40r + 6r[/tex]

Combine like terms:

[tex]25 + r = -10 - 34r[/tex]

Add 34r to both sides:

[tex]25 + r + 34r = -10 - 34r + 34r\\\\25 + 35r = -10[/tex]

Add 10 to both sides:

[tex]25 + 35r + 10 = -10 + 10\\\\35 + 35r = 0[/tex]

Subtract 35 from both sides:

[tex]35 + 35r - 35 = 0 - 35\\\\35r = -35[/tex]

Divide both sides by 35:

[tex]35r \div 35 = -35 \div 35\\\\r = -1[/tex]

Hope this helped!

where is the vertex of y=3(x-26)^2+14?

Answers

The vertex is (26,14)

Because it’s written in vertex form which y=a(x-h)^2 + k. H is the x for the vertex And h is changed to it’s opposite. So since 26 is negative it would actually be positive 26. While k ls the y of the vertex which is 14 in our case

90+2x=4x
can you please help me solve with steps

Answers

Answer:

45

Step-by-step explanation:

solution

90+2x=4x

or,90=4x-2x

or,2x=90

or,x=90÷2

ans x=45

Answer:

[tex]90 + 2x = 4x \\ \\ 90 = 4x - 2x \\ \\ 90 = 2x \\ \\ x = \frac{90}{2} \\ \\ x = 45 \\ [/tex]

it's was helpful to you

are two products the same when you multiply them horizontally?

Answers

Answer:

Are the two products the same when you multiply them with the table method? Yes, the two products are the same when you multiply them with the table method.

A race car travels 400 km in a time of 2 hours. Determine the speed of
the race car

Answers

Answer:

200km per hour

3.33km per second

Margaret works at a clothing store today she has only sold only shirts and pants the ratio of the number fours sold to the total number of items sold is 2/5 which model shows ratio ratio

Answers

Answer:

Step-by-step explanation:

The one with 2 shirts and 5 pants

The ratio of the two pieces of clothing is displayed as 2:3.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Margaret is employed by a clothing retailer. She has just sold pants and shirts today. The proportion of shirts sold to all other things sold is 2/5. The model that displays this ratio

The ratio of shirts sold to total garments is 2:5 if the number of shirts sold is 2/5 of the total number of clothes sold.

Additionally, the ratio of sold shirts to sold pants is 2:3, meaning that three pants are sold for every two shirts.

For instance, 9 pairs of pants would be sold if 6 shirts were sold.

Therefore, 2:3 shows the ratio of the pair of pants and shirts.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ5

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