12 marbles are in a bag; 3 each of red, blue, green, and orange. If 3 marbles are chosen at random, what is the probability that all 3 are green?

Answers

Answer 1

Answer: [tex]\dfrac{1}{220}[/tex]

Step-by-step explanation:

Given

There are 3 marbles of red, blue, green and orange

Total marbles are 12

No of ways of choosing 3 green marbles out of 3 green marbles is [tex]^3C_3[/tex]

Total no of ways of selecting 3 marbles out of 12 are [tex]^{12}C_3[/tex]

So, the probability is

[tex]\Rightarrow P=\dfrac{^3C_3}{^{12}C_3}=\dfrac{1\times 3\times 2\times 1}{12\times 11\times 10}\\\\\Rightarrow P=\dfrac{1}{220}[/tex]


Related Questions

Does the nature of the data allow you describe the difference of the two medians as a multiple of the interquartile range? If so, what is the multiple?

Answers

Answer:

1/3

Step-by-step explanation:

From the figure, we know that the median of Amy is 40 and the median of Megan is 35.

Therefore the difference in their medians is = 40 - 35

                                                                         = 5

We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25

                                           = 15

So, the difference of the medians is the multiple of the interquartile range.

So the multiple is = 5/15

                             = 1/3 (IQR of Megan)

Answer:

Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.

Step-by-step explanation:

The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.

This shows that the difference of the medians is about 1 times, or nearly equal to, the interquartile range of either data set.

For Genivieve, the multiple is 1:

9 = m(9)

m = 1

For Mindy, the multiple is 1.125:

9 = m(8)

m = 1.125

(This is the answer on edumentum)

the cost of a catering prom is 250 plus $15 for each person attending. what is the cost of 150 people?

Answers

Answer:

$2500

Step-by-step explanation:

First, multiply the $15 for the 150 people attending, to get 2250. Next, add the last $250 to get a total cost of $2500

Hopefully this helps- let me know if you have any questions!

Answer:

i think it is 2500

Step-by-step explanation:

take 15 times the amount of people. then add the 250 fee

What is the measure of the other acute angle ?

Answers

Answer:

58

Step-by-step explanation:

Answer: 58°

Step-by-step explanation:

We know it's a right triangle, one of them must be 90°. The sum of the three interior angles are 180°, so we know the sum of the other two angles is 180 - 90 = 90°.

If one of the angles is 32°, another angle is 90 - 32 = 58°

i really need help so can you plz help meeee

Answers

Answer:

5/11 is 0.4555555555555555555555555

so basically the first option out of the two.

U do know you can just calculate this with the calculator right?

A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation?

y = 5/x
y = x/5
y = x + 5
y = x – 5

Answers

Answer:

The answer of the function is y=x-5

A hawk is flying 130 meters up in the sky and spots a rodent on the ground at a 20
degree angle of depression. To the nearest meter, what is the horizontal distance
between the hawk and the rodent?

Answers

Answer:

arc length d = ∫ √(1 + (dy/dx)²) dx

y = 228 - x²/57

dy/dx = -2x / 57

(dy/dx)² = (2x/57)²

Upper limit for integration:

y = 0 = 228 - x²/57

yields x = 114

d = ∫ √(1 + (2x/57)²) dx for 0 ≤ x ≤ 114 = 264.9 m

Step-by-step explanation:

Need someones help on this!

Answers

Answer:

x^3

Step-by-step explanation:

quotient property of exponents

I think the answer is c. x^3

Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle

Answers

reflected across the x axis
ordered pairs are b’(3,1), a’(4,6), and c’(6,2)

A neighborhood in Shiloh is building a treehouse. It has a rectangle floor of 6 ft by 4 ft. What is the area of the tree house floor?

Answers

Answer:

24

Step-by-step explanation:

Shiloh is building a tree house

It's measurement is 6ft by 4ft

Therefore the area can be calculated as follows

= 6×4

= 24

Hence the area of the rectangle is 24

(PLEASE HELP ME ASAP)

Write down a number that has a value less than |4.7|

Answers

Answer:

4.6

Step-by-step explanation:

3.. litteraly anything less than that

Answer:

0

Step-by-step explanation:

|4.7| = 4.7

Any number less than a positive 4.7 is less than |4.7|.

The jaguar is a top predator that helps to regulate other population in the rainforest. It produces waste that are broken down to nutrients by decomposers. Microorganisms live in its fur and it may also be home to some parasites. This description describes the jaguar's __________ ?

A. Habitat
B. Niche
C. Awesome ninja-like skills
D. Trophic Level

Answers

Answer: B. Niche

Explanation:

Definition of niche: a niche is the match of a species to a specific environmental condition. It describes how an organism or population responds to the distribution of resources and competitors and how it in turn alters those same factors.

Answer: Niche

Niche is basically like a type of place of something or someone

Explain how g is 62 degrees using angle theorem. Ex supplementary angle theorem, ASTT. Etc

Answers

Answer:

The exterior angle is 35° + 62° = 97°

And 97° > 35°

And 97° > 62°

Step-by-step explanation:

Answer:

pppop-

That’s what u get

Step-by-step explanation:

solve for x round to your nearest tenth

Answers

Answer:

x ≈ 5.98

Steps:

tan(50.1°) = x/5

1.19.. = x/5

x = 5 × 1.19 ..

x = 5.97.. ≈ 5.98

1/4 of my shirts are red, the rest are blue. Show the ratio of red to blue shirts

Answers

Answer:

1:3 red to blue

Step-by-step explanation:

you have x shirts. Let's call the number of red shirts r and the number of blue shirts b.

r = x * 1/4

b = x - r = x - (x * 1/4) = x * 3/4

r:b = (x * 1/4):(x * 3/4) = (1/4):(3/4) = 1:3

TRIG HELP NEED TO FIND C IS IT NOT ALT ANGLES?????

Answers

[tex]c+20=55\\c=55-20\\c=35[/tex]

Best method to solve y=-3x+4 y = 3x-2

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 1 , 1 )

Equation Form:

x = 1 ,   y = 1

A scientist is studying the effect of rainfall on the height of a certain species of sunflower. The scatter plots shows the results.

Answers

Answer:answer is d

Step-by-step explanation:

I have done the test

Joe, Josie and Bob has $35 when they put their money together. Joe has half as much as Josie. Bob has four times as much money as Joe. How much money does Josie have?

Answers

Answer: $10

Step-by-step explanation:

Let Josie's money be x

Since Joe has half as much as Josie. Joe's money will be: x/2 = 0.5x

Bob has four times as much money as Joe. Bob's money will be = (4 × 0.5x) = 2x

Therefore, we add all the amount together and equate to $35. This will be:

x + 0.5x + 2x = 35

3.5x = 35

x = 35/3.5

x = 10

Josie has $10

A statue casts a shadow that is 9 ft long. A boy that is 4 ft tall casts a shadow that is 6 ft long. How tall is the statue?

Answers

Answer:

6 feet tall.

Step-by-step explanation:

The boy is 4 ft tall, but he casts a 6 ft long shadow. You need to find how long a shadow would be if a person/thing was just 1 ft tall.

To do this, you would need to divide 4 by 4, and 6 by 4 as well.

6/4 is 1.5, or 1 and a half.

If a person (or a thing) is 1 foot tall, the statue will cast 1 and a half feet long shadow.

The statue casts a 9 ft long shadow.

Since we already figured out 1 ft = 1 and 1/2 ft shadow, and since the statue casts a 9 foot long shadow, you need to divide 9 by 1.5.

(You'll get 6.)

This means that the statue is 6 feet tall, and it casts a 9 foot long shadow.

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Answers

Answer:

Only the mean increased.

Step-by-step explanation:

The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.

The median is still 7.

Write 4^3 using repeated multiplication. Then find the value of 4^3

Answers

Using repeated multiplication, 4^3 is 4•4•4

The value of 4^3 is 64

please help___________​

Answers

ANSWER: 152.5 m²
&
ANSWER: 66.8m
(I’m assuming shaded region is the whole shape)

Area triangle = 1/2bxh
96= 1/2(16)h
96=8h
h=12m

If h=12m then circle diameter = 12m
radius=12 ÷2= 6m

Area of circle= πr²
Area of semi circle = 1/2 π r²

1/2 π r²= 1/2 π(6²) =18πm² or 56.5 m²

56.5+96= 152.5 m²

ANSWER: 152.5 m²


PERIMETER
|YZ|=16
|XY|=12
|XZ|=
a²+b²=c²
(16 ²)+(12 ²)=c ²
c ²=400
c=20m

Perimeter of circle= 2πr
Perimeter of semicircle= πr = π(6)= 18.8m

[18.8+20+12+16=66.8m]

ANSWER: 66.8m





Best disc and answer will get BRAINLIEST

Answers

Answer:

A is the answer

Step-by-step explanation:

All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.

Hope that helps

Answer: A. (2, 100)

Step-by-step explanation:

F(-3)=11 and f(4)=55 find value of f(-1)

Answers

11(4)=55

44=55

f=55÷44

f=1.25(-3)

-3.75

What is debt-to-income ratio and how do you figure it out?

Answers

To calculate your debt-to-income ratio:

Add up your monthly bills which may include: Monthly rent or house payment. ...

Divide the total by your gross monthly income, which is your income before taxes.

The result is your DTI, which will be in the form of a percentage. The lower the DTI; the less risky you are to lenders.

What is the product of 2x + 3 and 4x^2 - 5x + 6

Answers

Answer:

8

x

3

+

2

x

2

3

x

+

18

Step-by-step explanation:

simply the answer thought bc i didn't simplify

can anyone expand and simply this for me (3x +2)(2x-5) ?​

Answers

Answer:    5x-3

Step-by-step explanation:

3x+ 2x +2-5

5x        -3

Ms. Reynolds is asking students to find
the volume of the rectangular pyramid
below. Which student wrote the
correct expression for the value of B,
the area of the base ?

Peter: 5•13

Thelma: 1/3 (13•12)

Answers

Peter found the correct expression, the width and length of the base are 5 and 14 centimeters.
Thelma found the measurements for the surface on the side of the rectangular pyramid, not the base.
peter had gotten the answer thelma is the one who got the question wrong

Find m QRS? who can help me?​

Answers

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

If you are given a 16 sided dice. What is the
probability that you get a number less than or
equal to 5?

Answers

Answer:

numbers less than 5 are 1,2,3,4 and equal to 5 is 5.

probability of less than 5 is 4/16

while equal to 5 is 1/16

or means additions; so its 4/16 +1/16=5/16

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