A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction

Answers

Answer 1

Answer:

11/120

Step-by-step explanation:

Red = 3Yellow = 5Blue = 2

Possible options would be red or yellow as only two blue marbles.

Probability of 3 red:

3/10*2/9*1/8 = 1/120

Probability of 3 yellow:

5/10*4/9*3/8 = 1/12

Probability of same three is:

1/120 + 1/12 = 11/120

Related Questions

Find the volume and surface area of each prism 3cm by 3cm by 3cm

Answers

Answer:

3 x 3 x 3= 18  so 18cm squared

Step-by-step explanation

Answer:

Volume =27cm³

Total surface area=54cm²

Step-by-step explanation:

Formula for finding volume of an object is Volume =length×breadth×height

so V=3cm×3cm×3cm=9cm²×3cm=27cm³ because the cm is three so it will become cube.

Formula for finding the total subject of an object is T.S.A meaning total surface area=2((length ×breadth)+(length×height)+(breadth ×height))

so it will be 2((3cm ×3cm)+(3cm ×3cm)+(3cm ×3cm)) calculate and if you any problem let me know.

Find the equation of the line that passes through (4,4) and is parallel to y = 2x + 4.
Leave your answer in the form y= mx + c

Answers

Answer:

x,y(0,12)

Step-by-step explanation:

Y=mx+c

4=2X+4

4=2x+4

2x=0

X=0

Y=mx+c

Y=2(4)+4

Y=8+4

Y=12

Calculate the paychecks of the following people. Select the total hours and paycheck.

Answers

Answer:

If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5  Sam-38.75,$8.75,339 Step-by-step explanation:

Just add up the number of hours worked and multiply by the rate.

Acellus help slope intercept

Answers

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]   ---> Rise Over Run

But how are we gonna calculate if we don't have any two given ordered pairs?

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - [tex]y=mx+b[/tex]

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is [tex]y=2x+7[/tex]

look at picture and answer ASAP

Answers

Answer:

its B and A

Step-by-step explanation:

Answer:

its in between the fist and second one cuusing what is given thats what i figured out

Step-by-step explanation:

3 x 36= 108 / 3 x 15 = 45

9 x 12 = 108 / 9 x 5 = 45

6 x 18 = 108 / 6 x 7 = 42

i hope this helps :)

Mrs. 1 ran 10 meters in 3.8 seconds. Mrs. 2 ran 10 meters in 3.2 seconds.
Who ran faster?

Answers

Answer:

Mrs. 2

Step-by-step explanation:

3.2 seconds is shorter than 3.8 seconds

Answer:

Mrs 2 ran 10 meters in 3.2seconds

A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?

Answers

Answer:

The total distance traveled by the car is 330 miles.

Step-by-step explanation:

The circular track is the circumference of circle with radius 1.5 miles.

Circumference of a circle = 2[tex]\pi[/tex]r

Thus,

Circumference of the track  = 2 x [tex]\frac{22}{7}[/tex] x 1.5

                           = 9.4286571429

Circumference of the track = 9.4286571429 miles

But, one complete revolution by the car is the circumference of the track.

i.e One complete revolution round the track = 9.4286571429 miles

Therefore,

35 complete revolutions round the track = 35 x 9.4286571429 miles

                                       = 330 miles

The total distance traveled by the car is 330 miles.

Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?

Answers

Answer:

1/8

Step-by-step explanation:

1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8

so 1/8 remains

find the distance from point A to the given line
A(2,-1), y=-x+4

Answers

Answer:

using distance formula you can solve it

A computer manufacturer has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by where x is the number of days since the start of the job. Find the expenditure if the job takes 8 days.

Answers

Answer:

The expenditure would be $ 8600

Step-by-step explanation:

If the cost is given by the function

C(x)= 10x + 6   where x is the number of days

The cost for 1 day would be

C(1)= 16 *100 = 1600 $  ( the expenses are in hundreds of dollars)

Then Putting x= 8 in the given equation we get

C(8)= 10(8) + 6  

= 86

Multiplying 86 by 100 because expenditure rate per day  is in hundreds of dollars

The expenditure would be $ 8600

What is the point-slope form of the equation of the line that passes through the point (-3,-4) and has a slope
of 2?

Answers

Answer:

y=2x+6

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2

(Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept)

So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope.

Equation will look like this:

y=2x+b

Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4

(x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4)

Replace:

-4=2(-3)+b

Multiply 2 and -3:

-4=-6+b

Move 6 to the other side by adding 6 on both side:

6-4=-6+6+b

Simplify

2=b

Now the equation looks like this: (If you replace b with 2 in y=2x+b)

y=2x+2

Answer: y=2x+2 (Point-slope form is the same thing as slope-intercept form)

Can you help me with this question please by the way its not 101

Answers

Answer:

41

Step-by-step explanation:

101+38=139

180-139 = 41

In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD

Answers

Answer:

A. 8

Step-by-step explanation:

BE = ½(CD) (midsegment theorem)

BE = 2x - 10

CD = 12

Plug in the values

2x - 10 = ½(12)

2x - 10 = 6

Add 10 to both sides

2x - 10 + 10 = 6 + 10 (addition property of equality)

2x = 16 (addition property of equality)

Divide both sides by 2

2x/2 = 16/2

x = 8 (division property of equality)

$210 watch; 20% discount

Answers

Answer:

$168

Step-by-step explanation:

Answer:

20% = 0.20

0.20 x 210 = $42

$42 discount

210 - 42 = 168

Your total amount you would pay would be $168. The discount is $48.

b. Determine if x ^ 2 - 9x + 14 is always positive, always negative , or neither for all negative values

Answers

negitive is the answer i think

(7 - 3t) + 3(-2t + 5)

Answers

Answer:

22-9t

Step-by-step explanation:

(7 - 3t) + 3(-2t + 5)

=

7+−3t+(3)(−2t)+(3)(5)=

7+−3t+−6t+15

=

Now you need to combine like terms.

7+−3t+−6t+15

=

(−3t+−6t)+(7+15)=

-9t+22=

22-9t

There you go.

Answer:

22 - 9t

Step-by-step explanation:

(7 - 3t) + 3(-2t + 5)

7 - 3t + -6t + 15

7 - 9t + 15

22 - 9t

Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers

Answers

He doesn’t have enough, he has 19/8 and needs 20/8 for 10 burgers, he’s missing 1/8 :)

what is the equation for (4, 9.4) and (-3, -9.5)

Answers

Answer: I got an eqaution I hope it is basic

Step-by-step explanation:

4 times 9

9 - (-3 ) times -9 + 5

Please help me out quickly

Answers

Answer:

I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me

Step-by-step explanation:

Theresa finds a shirt on sale at the store. The regular price of the shirt is $32.00. But there is a 20% off sale today. Theresa remembered that there is 8.1% tax on the sale price of the shirt. What is her final cost?

Question 10 options:

$28.92


$27.67


$29.31


$31.00

Answers

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%


Carol bought 24 stamps for $6, and Charles paid $13 for 52 stamps. If the amount paid for the stamps is proportional to the number of stamps bought, then what is the constant of proportionality?

HELP !!

Answers

Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

Look at the attachment for work

at a pet store at the mall there are 21 dogs, 13 cats, 12 rabbits, 5 hamsters, and 3 ferrets. What percent of the animals mare rabbits

Answers

Answer:

28.57%

Step-by-step explanation

I added all the animals together and got the precentage of rabbits

Hopefully its right :)

What is
0.74314482
as a fraction?

(I don’t have my TI Calculator with me and that is what I need to figure out this question)

Answers

The answer is

3715731 over 5000000

log(5t)(5t + 1) * log(5x+1) (5t + 2) * log(5t+2 )(5t + 3)... log(5t+n)(5t +n +1)​

Answers

I assume you're referring to the product,

[tex]\log_{5t}(5t+1)\cdot\log_{5t+1}(5t+2)\cdot\cdots\cdot\log_{5t+n}(5t+n+1)[/tex]

Recall the change-of-base identity:

[tex]\log_ab=\dfrac{\log_cb}{\log_ca}[/tex]

where c > 0 and c ≠ 1. This means the product is equivalent to

[tex]\dfrac{\log(5t+1)}{\log(5t)}\cdot\dfrac{\log(5t+2)}{\log(5t+1)}\cdot\cdots\cdot\dfrac{\log(5t+n+1)}{\log(5t+n)}[/tex]

and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to

[tex]\dfrac{\log(5t+n+1)}{\log(5t)}=\boxed{\log_{5t}(5t+n+1)}[/tex]

Convert 51.7% to a fraction in simplest form and a decimal.

Answers

0.517 as a decimal 517/10 as a fraction

The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis

Answers

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

uses 2 1/2 cups of apple juice and 1 1/2 of carrot juice for a recipe. enter the number of cups of apple juice used for 1 cup of carrot juice

Answers

Answer:

1 3/4

Step-by-step explanation:

URGENT DUE AT 1:00 PLZ HELP... MATH123456

Answers

Answer:

Step-by-step explanation:

Nose

HELP QUICK!! what is the effect on the graph of the function y=x^2 when it is changed to y=1/2x^2?

a) the graph moves up the y axis b) the graph moves down the y axis c) the graph narrows d) the graph widens

Answers

Answer:

D is your answer

hopefully this helps

A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from among the workers without regard to gender

Answers

Answer:

I think 4000 worker and I will be there at some point today and I

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