A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red

Answers

Answer 1

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.


Related Questions

HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

HI!!!

Step-by-step explanation:

The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy

Answers

Answer:

20%Discount price is 14800

Then 5%Discount price of the new price is 14060

14060 is the answer

Which variable expression represents the following word phrase?
four times the sum of five and a number

Answers

Answer:

c

Step-by-step explanation:

c represents adding 5 and n together, and multiplying it by four.

Four times the sum of five and a number equivalent expression is 4(5 + n) which is the correct answer would be an option (C).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs arithmetic operations is called arithmetic operator.

Operators let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Let the number be n

To determine the four times the sum of five and a number

The sum of five and a number as

⇒ 5 + n

So, four times the sum of five and a number as

⇒ 4*(5 + n)

Hence, four times the sum of five and a number equivalent expression is  4(5 + n).

Learn more about the expressions here :

brainly.com/question/21751419

#SPJ2

help me please!! and thank you ​

Answers

Answer:

y = -(5/6)x + 0.917

Step-by-step explanation:

We can calculate a slope with the two given points:

(-2.5,3) and (3.5,-2)

Rise (change in y) = -2 - (3) = -5

Run (change in x) = 3.5 - (-2.5) = 6.0

Slope = Rise/Run = -5/6

The line has the following form:

y = -(5/6)x + b

We can find b, the y-intercept, by using one of the two points in the equation and then solve for b.  I'll choose (-2.5,3):

y = -(5/6)x + b

3 = -(5/6)*(-2.5) + b

3 = 2.083 + b

b = 0.917

y = -(5/6)x + 0.917

Can you give me the answer?

Answers

Answer:

39

Step-by-step explanation:

The inside of a triangle adds up to 180:

90 because that square box is 90 degrees

90+50=141

180-141=39

The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same

Answers

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

Answer:

5 hours

Step-by-step explanation:

15 times 5 is 75 plus 25 is 100

20 times 5 is also 100

The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.

Answers

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

[tex]\frac{52}{4} = \frac{4x}{4}[/tex]

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21

Please help asap!!!

Will give brainliest

Answers

Answer:

33/2 or

Step-by-step explanation:

2x−7

4

=

x+3

3

(2x−7)*(3)=(x+3)*(4)

6x−21=4x+12

Step 2: Subtract 4x from both sides.

6x−21−4x=4x+12−4x

2x−21=12

Step 3: Add 21 to both sides.

2x−21+21=12+21

2x=33

Step 4: Divide both sides by 2.

2x/2

=

33/2

x=

33/2

Answer:

  x = 33/2 = 16 1/2

Step-by-step explanation:

You can clear fractions first, or you can work with the fractions as is.

  (2x -7)/4 = (x +3)/3

  2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses

  (1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x

  1/6x = 11/4 . . . . . . . . . . . simplify

  x = 66/4 = 33/2  . . . . . multiply by 6, reduce the fraction

Write three different multiplication problems for which the product is 9x2 + 18x. ​

Answers

18 ( 1 + X )

sorry if my answer wrong

A donut has a diameter of 15cm. Whats is the comerference?

Answers

The circumference you mean its:47.124

Identify the like terms of 3x, choose all that apply:

Answers

Answer:

-2x, x, 5x

Step-by-step explanation:

Answer:

5x-2xx

Step-by-step explanation:

Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.

3xy

It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".

3

This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.

7y

Seven has a y, which is different from an x.

express 10500 in terms of its prime factors .
determine the smallest positive number P such that 10500P is a perfect cube​

Answers

Answer:

Below

Step-by-step explanation:

Dividing by prime numbers :

2 | 10500

2 |   5250

3 |    2625  

5 |       875

5 |        175

5 |          35

                7.

So 10500 = 2*2*3*5*5*5*7

To find the smallest positive cube  we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's

That is P = 2*3*3*7*7 =  882.

The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.

help! Scroll to see image!

Answers

mhorn seems to be correct

Step-by-step explanation:

yshahaa

Find an irrational number between 6 and 28

Answers

Answer:

Step-by-step explanation:

All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.

Answer:

√101 (square root of 101)

Step-by-step explanation:

Irrational numbers are numbers that can't be written as fractions.

The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.

The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy

Answers

Answer:

203 i just did it

Step-by-step explanation:

Answer:

the answer is 203

Step-by-step explanation:

Just got it right on edge 22

What is the cube root of 8x27?

Answers

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

16 308/1000 as a decimal

Answers

Answer: 16.308

Step-by-step explanation:brainiest please

Pls help me solve thisss

Answers

Answer:

J (-5,2)

Hope this helps!

can somebody please help me

Answers

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15

Answers

Answer:

The answer is 3. 2x - 5y = 15

Step-by-step explanation:

Which table represents a direct variation between x and y

Answers

Answer:

Y

Step-by-step explanation:

Because the direct variables are plus twenty five

What is the range
of 98, 99, 100,
90, 98, 100?

Answers

Answer:

10

Step-by-step explanation:

Increasing order:-

90,98,98,99,100,100

Range = Highest term - Lowest term

Range = 100 - 90

Range = 10

Hence,

Range of the given term is 10

Answer:

10

Step-by-step explanation:

The data set in ascending order:

90, 98, 98, 99, 100

It has min = 90, max = 100

The range is the difference between min and max:

100 - 90 = 10

Draw and label a figure to represent the congruent triangles. Then find x and y.

please draw and label!!! i will give brainliest.

Answers

Answer:

hope it helps

Step-by-step explanation:

<K=<N

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

m<K=23°m<N=23°

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

PM=5

Diagram attached

(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с​

Answers

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48

(-2.05) - (-5)
explain and show how u did this

Answers

Answer:

2.95

Step-by-step explanation:

When we have a problem like this (-2.05)-(-5)

It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95

Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?

Answers

Answer:

380 days

Step-by-step explanation:

38 × 1 = 38 38 × 6 = 228    

38 × 2 = 76 38 × 7 = 266

38 × 3 = 114 38 × 8 = 304

38 × 4 = 152 38 × 9 = 342

38 × 5 = 190 38 × 10 = 380

20 × 1 = 20 20 × 6 = 120

20 × 2 = 40 20 × 7 = 140

20 × 3 = 60 20 × 8 = 160

20 × 4 = 80 20 × 9 = 180

20 × 5 = 100 20 × 10 = 200

20 x 10 = 200  20 x 20 = 400

so 20 x 19 = 380

First common number in both times table is 380

if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP

Answers

I’ve been there and I think it most likely means that you’re plotting it wrong. The graph should always have space for you to graph the problem correctly.

Is 1/3 greater than, less than, or equal to 1?​

Answers

Answer:

1/3 is less than 1

Step-by-step explanation:

3/3=1

1/3<1

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

Answers

Answer: Varies

Step-by-step explanation:

There would still be some Xs and Ys.

Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes

Answers

Answer:

25

Step-by-step explanation:

Its just 25

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