1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ella [17]
3 years ago
14

Suppose you have 3 bags. Two of them contain a single $10 bill, and the third contains a single $5 bill. Suppose you pick one of

these bags uniformly at random. You then add a $5 bill to the bag, so it now contains two bills. The bag is shaken, and you randomly draw a bill from the bag without looking into the bag. Suppose it turns out to be a $5 bill. If a you draw the remaining bill from the bag, what is the probability that it, too, is a $5 bill
Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Number of bags = 3

number of bags with $10 bill initially = 2

number of bags with $5 bill initially = 1

assume :

event you pick a $5 bill at first draw = A

event you pick a $5 bill at second draw = B

hence : P ( A n B ) = 1/3 * 1 = 1/3

P( A ) = ( 1/3 * 1 ) + ( 1/3 * 1/2 + 1/3 * 1/2 )  = 2/3

therefore P( that the second drawn bill is $5 )

P( B | A ) = P(A n B ) / P ( A )

              = (1/3) / (2/3) = 1/2

You might be interested in
A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
2 years ago
A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t
lord [1]

Answer:

  • r(0) = <0, 100> . . . . . . . .meters
  • r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

<u>Initial Position</u>

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

  r(0) = <0, 100>

<u>Initial Velocity</u>

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

  r'(0) = <10·cos(π/4), 10·sin(π/4)>

  r'(0) ≈ <7.071, 7.071>

7 0
3 years ago
Ms. Taylor earned $18.50 per hour for the first 40 hours she works in a week.She earns 1 1\2 times the amount per hour for each
nalin [4]
18.5•40=740
40•1.5=60
60•5.5=330
740+330=1070
A: $1070
3 0
3 years ago
Read 2 more answers
50 points and brain thing!!! Please show proof for the question above
Elina [12.6K]

Answer:

Ight...

Step-by-step explanation:

Hi

4 0
3 years ago
a circle with radius 3 has a sector with a central angle of 17/9 pi radians. what is the area of the sector?
r-ruslan [8.4K]

Answer:

The area of the sector is 26.69

Step-by-step explanation:

First of all we need to calculate the area

To solve this problem we need to use the area formula of a circle:

a = area

r = radius =   3

π = 3.14

a = π * r²

we replace with the known values

a =  3.14 *  (3)²

a =  3.14 * 9

a = 28.26

The area of the circle is 28.26

A complete circle has 2pi radians

We divide 17/9 pi by 2pi and obtain the fraction of the total circle

(17pi/9) / 2pi = 17/18

we multiply this fraction with the area of the circle and obtain the area of the sector

28.26  * 17/18 = 12.43cm

The area of the sector is 26.69

6 0
3 years ago
Other questions:
  • Assuming the customer gives you a $10 bill for a meal costing $5.38, how much change should you give him?
    14·1 answer
  • Two neon lights are turned on at the same time one blinks every 5 seconds and the other blinks every 8 seconds when will both bl
    13·2 answers
  • Divide using synthetic division.<br><br> <img src="https://tex.z-dn.net/?f=%28x%5E%7B4%7D%20-x%5E%7B3%7D%20%2B3x%5E%7B2%7D%20-6x
    7·1 answer
  • Expand and simplify 2(p + 2q – 3).
    13·1 answer
  • ARE THESE 2 CORRECT?
    14·1 answer
  • What are the difference and similarities between a quadratic function and its transformation?
    7·1 answer
  • Which equation has the same value as 4 x 2/5?<br><br> big question, people!!
    14·2 answers
  • HELP ME PLZ!!!! if the answer is right ill mark you brainliest
    11·1 answer
  • 6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
    5·2 answers
  • What is the perimeter of a rectangle with a length of 16cm and a width of 12cm?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!