A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Answers

Answer 1

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =


Related Questions

Solve this simultaneous e
x + y = 26
3x + y = 56

Answers

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.

Answers

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?

Answers

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]

[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]

From the last equation:

[tex]x=h.\tan 48^\circ[/tex]

Substituting into the first equation:

[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]

Operating on the right side:

[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]

Rearranging:

[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]

Solving for h:

[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]

Calculating:

h = 61.5 m

The building is 61.5 m tall

I really need help with this
"Simplify this equation."

Answers

Answer:

2nd one

Step-by-step explanation:

ewkrfmwekosdfgseargfaerfgaerfmwoegm :

Answers

Answer:

Ok thats really cool thanks :)

A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation

Answers

Answer:

Concept: Engineering Statistics

To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.

Please help me!!! I’ll mark Brainlyest!

Answers

Answer:

12/6 2 is the best answer

Plug in 12 into x , and 2 into y.
This gives you 12/3(2).
3 x 2 = 6
12/6 can be simplified as 2.
B is the answer :)

help pls my math teacher is rude​

Answers

Answer:

2.25 or 2 1/4 pounds

Step-by-step explanation:

if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4

? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?

Answers

Answer:

13

Step-by-step explanation:

125 - 60= 65

65/5= 13

itll take her 13 weeks

Write a function formula for g using the function f.
g(x)=

Write a function formula for f using the function g.
f(x)=


Answers

Answer:

g(x) = -f(x+3)

f(x) = -g(x-3)

Step-by-step explanation:

Transformations

Function f can be obtained by knowing function g and vice-versa.

Suppose we know the expression of function f. If we reflect f across the x-axis, we get function g but displaced 3 units to the right.

Thus, we only have to translate the reflected f 3 units to the left:

g(x) = -f(x+3)

Similarly, if g(x) is reflected across the x-axis and translated by 3 units to the right, we get f(x), thus:

f(x) = -g(x-3)

The volume of a rectangular prism is represented by the function x
representing the width of the box.
Ox- 4
OX-1
Ox+1
Ox+4

Answers

Answer:

x = 4

Step-by-step explanation:

Hope this helps! Consider Brainiest! <3

show the steps on how to use the distributive property to evalute 9·67​

Answers

Answer:

6.oz I will ply to get a

Step-by-step explanation:

ok is the only

Answer:

Step-by-step explanation:

9(67)=9(70-3)=

What is 60 minutes 20% of

Answers

Answer:

60 minutes is 20% of 300%

Step-by-step explanation:

60 minutes is 20% of 300

Robin, who is self-employed, contributes $4500/year into a Keogh account. How much will he have in the account after 30 years if the account earns interest at the rate of 2.5%/year compounded yearly?

Answers

Answer:

The amount that would be in the account after 30 years is $368,353

Step-by-step explanation:

Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly

We proceed to use the formula below;

A = [P(1 + r)^t-1]/r

From the question;

P is the amount deposited yearly which is $4,500

r is the interest rate = 2.5% = 2.5/100 = 0.025

t is the number of years which is 30

Substituting these values into the equation, we have;

A = [4500(1 + 0.025)^30-1]/0.025

A = [4500(1.025)^29]/0.025

A = 368,353.3309607034

To the nearest whole dollars, this is;

$368,353

Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?

Answers

Answer: R/12=3

             

Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /

Answer:D

Step-by-step explanation:

Find the value of the variable.

Answers

X= 4. You get this by setting the two equations equal to each other and isolating the variable and the constant.

Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1

Answers

Answer:

7.11 > -7.1

Step-by-step explanation:

A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?

Answers

It fills 1 box per every 7 mins
Hope that helps u:)

In 7 minutes machine can fill 1 box.

Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.

What is the constant rate?

A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.

Now, in 35 minutes machine has filled 5 boxes.

So, 1 box is filled in 35/5=7 minutes.

Therefore, in 7 minutes machine can fill 1 box.

To learn more about the constant rate visit:

https://brainly.com/question/13659182.

#SPJ2

Place each pair of angles in the correct column.

Answers

Answer:

congruent: 1 & 8,

congruent & corresponding: , 4&8

supplementary: 2&5, 3&5, 3&4

i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped

(Will mark brainlest Help please)out of 800 students at icenhower intermediate 208 live inside the city of mansfield

Answers

Answer:

Doesn't this mean that 592 students live outside the city of mansfield?

Step-by-step explanation:

800 - 208

-2 (x + 4) – (3x – 8)
What it equals

Answers

Answer:

-2x+-8-3x-8

Step-by-step explanation:

-2 times x =-2x  

-2 times 4=-8

Answer:

x

Step-by-step explanation:

-2 (x + 4) – (3x – 8)

-2x-8-3x+8

x+0

x

Which expression is equivalent to
-15163-3?Assume #w0D

Answers

Answer:

Second one.................

binomio al cubo
(x+2)3​

Answers

Answer:

3x+6

Step-by-step explanation:

(x+2)3

3(x)+3(2)

3x+6

I GIVE BRANLILSET

Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer:

10 hours

Step-by-step explanation:

24kg dough/6 hours = 4kg dough/hour

4kg dough / 1 hour

*10                *10        (multiply both sides by 10)

---------------------------

40kg dough/10hrs

Sharon uses 1 1/2 cups of sugar to make 2 batches of cookies. How much sugar will she use to make 6 batches of Cooke’s?

Answers

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

help me pls ill mark brainly

Answers

Answer:

First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.

Second step: I think it would be 0.08 x 25.

Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.

Fourth step: Friendly percent is 10%. It is always even.

Hope this helps!

Which of the following situations results in a sum of 1 1/2 ? Select all that apply .

1. I painted 5/8 of one room and 7/8 of another .

2. I gained 6 1/2 pounds and my wife lost 8 pounds .

3. I had 4 1/4 bottles of juice and drank 1 3/4 of them .


4. I cut 3 1/3 inches from my grass. The grass grew 1 5/6 inches over the next week .

5.I used up 1/4 of a pound of coffee and bought 1 1/4 of a Pound of coffee from the store .

6. I used 3/4 of a pound of ground beef to make burgers and purchased 2 1/4 of a pound of ground beef .

Answers ASAP!!!!

Answers

Answer:

A, E, And D

Step-by-step explanation:

i did the quiz :)

2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5

Answers

Answer:

The answer is 15=15

Step-by-step explanation:

go to math

way, which is a website

and put your question in and the answer waill come to you!

can u pls help me with this question

and the equations to choose from are
y=k+x

y=k

y=kx​

Answers

Answer:

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

i need help with this please

Answers

Answer:

31/8

Step-by-step explanation:

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