Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.

Answers

Answer 1

[tex] \Large \text {Answer:} [/tex]

[tex] \large \boxed {\dfrac{23}{40}} [/tex]

[tex] \Large \text {Step-by-step explanation:} [/tex]

[tex] \text{P}_{B}(r) = \text{P}_{A}(r) \cdot \text{P}_{B}(r) + \text{P}_{A}(w) \cdot \text{P}_{B}(r) [/tex]

[tex] \text{P}_{B}(r) = \left (\dfrac{3}{5} \right ) \negthickspace \left(\dfrac{5}{8}\right ) + \left (\dfrac{2}{5} \right ) \negthickspace \left (\dfrac{4}{8} \right ) [/tex]

[tex] \text{P}_{B}(r) = \dfrac{23}{40} [/tex]

Answer 2

The probability of drawing a red chip from bowl B will be ( 23 / 40 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B.

The probability will be calculated as:-

[tex]\rm P_B(r)=P_A(r)P_B(r)+P_A(w)P_B(r)\\\\P_B(r) = (\dfrac{3}{5})(\dfrac{5}{8})+(\dfrac{2}{5}(\dfrac{4}{8})\\\\P_B(r)=\dfrac{23}{40}[/tex]

Therefore, the probability of drawing a red chip from bowl B will be ( 23 / 40 ).

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Related Questions

- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?

Answers

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

Please help me asap thank you!

Answers

Answer:

6 and 7

Step-by-step explanation:

--_45"gfsu. tc. jkk

Answer:

6x-7

Step-by-step explanation:

1/3x12x=4x

1/3x6x=2x

1/3x21=7

4x+2x=6x

Find the slope of each line.

Answers

Answer:

D

Step-by-step explanation:

URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH

Answers

Answer:

Step-by-step explanation:tha answer is -120

HELP ME PLSSSSSS IM ALMOST DONE !!! Owen took a road trip to Utah. He traveled 615 miles. He put a total of 30 gallons of gas in his tank . What is his average MPG?

Answers

The average is 20.5 MPG

Answer:

Step-by-step explanation:

helpppppppppppppp plssssssssss

Answers

Answer:

a) 40%

b) 1400

c) 700

Step-by-step explanation:

Hope this helps!      :3

Plz mark as Brainliest!

Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?

Answers

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  [tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.

(x + a)(x+b)

Answers

Answer:

(x-4.72)(x+5.72)

Step-by-step explanation:

I2+ i - 72

is it i^2+i-72?

(x-4.72)(x+5.72)

PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!

Answers

Answer:

[tex]\displaystyle m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                     [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract:                              [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide:                                 [tex]\displaystyle m=3[/tex]

Answer:

3

Step-by-step explanation:

-3/-1 = 3

the slope of a line passing through (6,8) and (5,5) is 3.

if the cube above has a surface area of 54cm^3, what is the volume of the cube?

Answers

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!

Answers

Answer:

Starting from the left.

4 × 3

5 × 5

2 × 5

4 × 5

4 × 4

1.5 × 2

Step-by-step explanation:

Divide all dimensions by 8.

> Find the slope of the line passing through the points (-3, -8) and (5.6).

Answers

Answer:

y=1.75x-2.75 slope would be 1.75

Step-by-step explanation:

Use a Regression Calculator

Three vertices of parallelogram DEFG are D(-2, – 4),F(0,7), and G(1,0). Find the coordinates of E.

Answers

Answer:

(-3,3)

Step-by-step explanation:

I just put the points on a graph, and counted how far away from each other they were, and found the last Point.

I hope this helps!

The coordinates of vertex E of parallelogram DEFG is: (-3, 3).

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.

The given vertices of parallelogram DEFG are:

D(-2, – 4),F(0,7), and G(1,0)

Let (x, y) = coordinates of vertex E.

Find the coordinates of E

Find midpoint of D(-4, - 2) and F(3, 3) using  :

[tex](\dfrac{-2+0}{2}, \dfrac{-4 + 7}{2}) = ( \dfrac{x + 1}{2}, \dfrac{y + 0}{2})[/tex]

[tex](-2, 3) = (x + 1, y)[/tex]

By comparison So, we have:

-2 = x + 1

x = -3

and

y = 3

Therefore, the coordinates of vertex E is: (-3, 3).

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Find the length of WZ
a. 25
b. 18
c. 9√2
d. 9

Answers

Answer:

18

Step-by-step explanation:

wz/18√2 = sin 45° = √2/2

wz = 18√2 x √2 / 2 = 18

Pls help I’ll brainlest due today

Answers

just use the app desmos it helps with graph solving like this

Answer:

All you have to do is plot one point at (0,0) and another one at (7,2) that should give you a line. The equation is y=2/7x or y=0.2

A value of 600 increases by 15%.

What is the new value?

Step 1 - change 15% to a decimal

Step 2 - multiply the decimal by 600

Step 3 - Add your answer from step 2 to 600 to get your answer.

Answers

Answer:

your steps are correct.

[tex]600 \times 15\% = 90 \\ new \: value = 600 + 90 \\ = 690[/tex]

the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.​

Answers

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

Anaerw this pls ill give pointa

Answers

Answer:

B. C. D. E ALL HAVE FOUR SIDES

Answer:

B

Step-by-step explanation:

Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?​

Answers

Answer:

the percent of the pies did she sell is 84%

Step-by-step explanation:

The computation of the percent of the pies did she sell is as follow;

= Number of pies sold ÷ total number of pies purchased

= 42 ÷ 50

= 84%

Hence, the percent of the pies did she sell is 84%

We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come

In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?

Answers

I’m pretty sure it’s XCIX IV I hope this helped

Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:

Answers

the area of a shape is given by: length*width

400*60 is 24000

So, 24000f feet^2 is the area

Can someone please help and give the right answer

Answers

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.

Statement                             Reason

RS ⊥ TS and RV ⊥ TV           Given

∠S = ∠V are right angles      Definition of perpendicular. Since RS ⊥ TS,

                                               hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°

ST ≅ VT                                  Given

RT ≅ RT                                  Reflexive property of congruence

ΔTSR  ≅ ΔTVR                      Hypotenuse leg congruence theorem. For

                                              two right triangles, if the hypotenuse and leg

                                              of one triangle is the same as the hypotenuse

                                              and leg of the second triangle, then the two

                                               triangles are congruent.

RS ≅ RV                                  Definition of congruency.

Which number is greater...0987 or .12? Explain how you know​

Answers

Answer:

.12

Step-by-step explanation:

.12 is equal to 12/100

and .0987 is equal to 0987/10000

What is the value of x in the equation (x + 12) = (x + 14) – 3?​

Answers

x = 15

(15 + 12) = (15 + 14) - 3

27 = 29 - 3 (true)

TIMED Be FAST PLS
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

How many unique random numbers must be read from the table of random digits?

A 5
B 15
C 60
D 75

Answers

Answer:

C

Step-by-step explanation:

Trust me just took the test

75  unique random numbers must be read from the table of random digits

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 75  unique random numbers must be read from the table of random digits

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What is 30 ÷ 14 written as a fraction?

Answers

Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7

The value of the expression is 15/7.

What is division?

Division is the process of dividing a number by a given number.

The given expression is 30 ÷ 14.

Solve the expression as follows:

30 ÷ 14

= 30/14

= 15/7

Hence, the value of the expression is 15/7.

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Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)

Answers

Answer: m = 0.75

Step-by-step:

Give the domain and range of the relation.

Answers

Answer:

  (a)  D: {-5, 0, 4, 6}; R: {-9, 0, 9, 13}

Step-by-step explanation:

The domain is the list of values in the x-column.

The range is the list of values in the y-column.

It is useful, but not essential, that the values be listed in numerical order.

  x-values are 4, 6, 0, -5, so we can say the domain is {-5, 0, 4, 6}

  y-values are 9, 13, 0, -9, so we can say the range is {-9, 0, 9, 13}

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $810. Otherwise, you have to pay your friend $49. Step 2 of 2 : If this same bet is made 914 times, how much would you expect to win or lose

Answers

Answer:

Step-by-step explanation:

We all know that there are 52 cards prszent in a deck out of which 13 are diamonds. Hence, the probability that both cards are spade is

13/52 * 12/51 =

0.25 * 0.235 =

0.0588

If both cards turn out to be diamonds, the friend pays $810 which is

$810 * 0.0588 = $47.628

On the other hand, the probability that both cards isn't a diamond is simply the negation of the probability that it is a diamond.

1 - 0.0588 = 0.9412

And you would have to pay your friend

$49 * 0.9412 = -$46.12, with the prefixed negative sign telling us that it's a lost bet.

I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)

Answers

Answer:

1.7miles

Step-by-step explanation:

You have to multiply 14 by 3 and divide 14 by 8

Something like this

14x3/8

which would give you around 1,7miles

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