A bag contains 5 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be blue?

Answers

Answer 1

Answer:

4.4%

Step-by-step explanation:

The overall probability is the product of the individual probabilities.

Total number of marbles: 15

Original number of blue marbles: 6

First drawing (6 blue and 15 total):

p(blue) = 6/15 = 2/5

Second drawing (5 blue and 14 total):

p(blue) = 5/14

Third drawing (4 blue and 13 total):

p(blue) = 4/13

p(blue followed by blue followed by blue) = 2/5 × 5/14 × 4/13 = 40/910 = 4/91

p(blue followed by blue followed by blue) = 4/91 = 0.043956... = 4.4%


Related Questions

S(-2, 5) is reflected across the line y= x, what are the coordinates of S′ ?

Answers

Answer:

(_2,5)

Step-by-step explanation:

X,comes first than y comes

*NEED HELP I WILL GIVE BRAINLIEST FOR BEST ANSWER PLEASE HELP ME*
A cylinder has a height of 9 meters and a diameter of 36 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

______cubic meters

Answers

Answer:

0.15 cubic meters

Step-by-step explanation:

Formula volume = π x radius² x height

Answer

πr2h

Step-by-step explanation:

What do 12y and 8y represent?  You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.

Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.

Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?

Allie Caryl Frank
Hector Morgan Terrence

Select the correct name in the table.A teacher arranged some pencils on her desk as shown below and asked

Answers

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

What are parallel lines?

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Which graph has an x-intercept of 5 and a y-intercept of -3?

Which graph has an x-intercept of 5 and a y-intercept of -3?

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

Its the first one.

Step-by-step explanation:

Please anyone out there to help me?

Please anyone out there to help me?

Answers

This is answer . I hope you understand answer .

Please anyone out there to help me?


Please help solve this for me

Please help solve this for me

Answers

Answer:

i believe the answer would be option D

Step-by-step explanation:

32 Over 8 = 28 Over x
a. x = 4
c. x = 8
b. x = 28
d. x = 7

Answers

Answer:

d. x = 7

Step-by-step explanation:

32/8 = 28/x

simplify the fraction

4/1 = 28/x

cross multiply:

4x = 28

divide both sides by 4:

x = 7

Please help I only have a short amount of time to get my grades up I’m struggling

Please help I only have a short amount of time to get my grades up Im struggling

Answers

Answer:

The price of one gram of gold decreased by $1.25 from the beginning of week 1 to week 4.

Step-by-step explanation:

From the given chart;

The change in price between week 0 and week 1;

ΔP₁ = P₁ - P₀

1.5 = P₁ + 0

P₁ = 1.5

The change in price between week 1 and week 2;

ΔP₂ = P₂ - P₁

-3.375 = P₂ - 1.5

P₂ = -3.375 + 1.5

P₂ = -1.875

The change in price between week 2 and week 3;

ΔP₃ = P₃ - P₂

0.625 = P₃ - (-1.875)

0.625 = P₃ + 1.875

P₃ = 0.625 - 1.875

P₃ = -1.25

The change in price between week 3 and week 4;

ΔP₄ = P₄ - P₃

1.5 = P₄ - (-1.25)

1.5 = P₄ + 1.25

P₄ = 1.5 - 1.25

P₄ = 0.25

The change in price of one gold from the beginning of week 1 to end of week 4;

ΔP = P₄ - P₁

ΔP = 0.25 - 1.5

ΔP = -1.25

Thus, the price of one gram of gold decreased by $1.25 from the beginning of week 1 to week 4.

mZB = xo, what is the measure of a
supplement of LB?

Answers

9514 1404 393

Answer:

  supplement of ∠B = 180° -x°

Step-by-step explanation:

The supplement of an angle is the difference between 180° and that angle.

  supplement of ∠B = 180° - m∠B

  supplement of ∠B = 180° -x°

This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.


How many people ride a bike to the city park?

8 people
20 people
25 people
32 people

This circle graph shows the results of a survey that asked 80 people which method of transportation they

Answers

25 % of 80- .25x80=20 the answer is 20 people

Answer:

20 people

Step-by-step explanation:

i did the test <3

humph im sad ask me why

humph im sad ask me why

Answers

Answer:

u ok? hang in there

Step-by-step explanation:

Its okay to feel sad, We all have those moments where we just want to find ourselves near the warm fireplace and find our peace and calming. Don't worry we are here for you!! ✨

pls help me
The measure of angle STV is 145°. The measure of angle STW is 85°. The measure of angle WTV is x°. Find the value of x.

pls help me The measure of angle STV is 145. The measure of angle STW is 85. The measure of angle WTV

Answers

X is 60

Step-by-step explanation:

SWT - STW = X

145 - 85 = X

60 = X

23+4⋅2−7

the 23 is 2 to the third power.

Answers

Answer:

12618

Step-by-step explanation:

23x23x23=12617

4•2=8

12617+8=12625

12625-7=12618

Answer: 9

Step-by-step explanation:

The correct answer to \(2^{3} + 4\) ⋅ \(2 - 7 = 9\)

I hope that helps :)

How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31

Answers

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

solve for x 2x +3y = Q

Answers

Hello! :)

2x + 3y + −3y = q + −3y Add -3y to both sides

2x = q − 3y

2x/2 = q-3y/2 Divide both sides by 2

x = 1/2q + -3/2 y (ANSWER)

Hope this helped you

THEDIPER

4x = y + 3
8x - 3= 2y
Graph the system

Answers

the lines are parellel
4x = y + 38x - 3= 2yGraph the system

What is the mean absolute deviation for 299, 281, 285, 269, 280, 269, 286, 287?

Answers

Answer:

the answer is 7

Step-by-step explanation:

The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We know that;

The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.

Hence, To find the MAD for the given scores, first find the mean of the scores:

= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8

= 280.5

Then, find the absolute difference between each score and the mean, and take the average of these differences:

= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8

= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8

= 7.5

So, the mean absolute deviation of the scores is 7.5.

To learn more about the mean absolute deviation, visit:

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i'll give brainlist for you if you help me

i'll give brainlist for you if you help me

Answers

Answer:

the period of this graph is 2\(\pi\)

Step-by-step explanation:

The period is the length of the section that repeats.  So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.

Let's look at the peaks (maximums).

One is at x = 0 and the next is at x = 2\(\pi\)

2\(\pi\) - 0 = 2\(\pi\)

Therefore, the period of this graph is 2\(\pi\)

\(\frac{x+4}{3} =7\)

Answers

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)

(g o f) (x),

(f o g)(2)


thanks!!

Answers

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

for such more question on composite functions

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A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?

Answers

Answer: The total will drop by 20%

Solve the following equation for f. Be sure to take into account
whether a letter is capitalized or not.
9 = Gf

Answers

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

Divide by G
Solution: f = 9/G

Ava runs at a constant speed of 3.4 meters per second for 1/2 hour. Then, she walks at a rate of 1.5 meters per second for 1/2 hours. How far did Ava run and walk in 60 minutes?

Ava runs at a constant speed of 3.4 meters per second for 1/2 hour. Then, she walks at a rate of 1.5

Answers

Ava ran and walked 8,820m in 60 minutes.

PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =

Answers

Answer:

1 cake 6 slice

Step-by-step explanation:

just divide

12/2=6

A line passes through the point (1,5) and has a slope of 7

Answers

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

For such more question on equation

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If their electric bill is currently 2200 a month, what will their bill be if decreased by 15%

Answers

Answer:

It will be (100 - 15)% as much, which s 85% as much, which is 0.85 times as much.

0.85($2,200) = $1,870

Step-by-step explanation:

Solve my problem now please

If 400 x 300 = 120,000
And 40 x 30 is 1,200


Fill in the blanks and show your work
*_____ x ______ = 12,000?

Answers

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

17. Toby is riding his bicycle at 15 m/s. If it
takes him 60 seconds to get to the end of
the street. What was the length of the
street?
18.
met
him

Answers

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

Can someone help me please

Can someone help me please

Answers

Answer:

(3x+1)(x+9)

Step-by-step explanation:

Answer:

(3x+1)(x+9) is the answer

IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.

What is the climber's distance to the horizon?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

IN CASE YOU ARE LOOKING FOR THE ANSWER A climber is standing at the top of Mount Kilimanjaro, approximately

Answers

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

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