You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate

Answers

Answer 1

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]

Probability:

[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]

10.34% probability that you both pick chocolate


Related Questions

ELE HOME 19. Which expression is equivalent to (7 x m) + 5? O A7(m + 5) O B7 + 5m O C 5+ (m x 7) O D 5- (7 x m)​

Answers

Answer:

?

Step-by-step explanation:

Sunni is riding a raft down a stream that is moving at a rate of 75 feet per minute how far downstream does she travel in 5 minute

Answers

Answer:

750 or 325 feet

Step-by-step explanation:

Find mZXYV in the figure below.
A. 65°
(3x + 23)

(7x - 37°
B. 68°
C. 112°
D. 115°

Answers

Answer:

112

Step-by-step explanation:

just believe me lol I wrote it out and did the math I have a 100% in my class

Please help 15 points!

Answers

Answer:

EEE I KNOW. Its C

Step-by-step explanation:

(Im not guessing i actually solved these its C)

A cylindrical tube 9.5 cm high and 0.85 cm in diameter is used to collect blood samples. How many cubic decimeters (dmଷ ) of blood can it hold (V = πrଶh)?

Answers

Answer: 0.539 cubic decimeters of blood can be hold by the cylinder.

Step-by-step explanation:

Volume of cylinder= volume of blood it can hold = [tex]\pir^2h[/tex]

Given :

Height of cylinder (h) = 9.5 cm

Diameter of cylinder (d) = 0.85 cm

Thus radius of cylinder (r) = [tex]\frac{\text {Diameter of cylinder}}{2}=\frac{0.85cm}{2}=0.425cm[/tex]

Putting the values we get:

Volume of cylinder= volume of blood it can hold = [tex]3.14\times (0.425cm)^2\times 9.5cm=5.39cm^3=0.539dm^3[/tex] [tex]      (1cm=0.1dm)

Thus 0.539 cubic decimeters of blood can be hold by the cylinder.



Latoya will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.14 per mile driven.

The second plan has an initial fee of $41.98 and costs an additional $0.19 per mile driven. How many miles would Latoya need to drive for the two plans to cost
the same?

Answers

Nolur acil lütfen yalvarırım

HELP please!! NUMBER 0NE (Factoring) Any help is needed! Please show me how!!


(NUMBER ONE IS THE PROBLEM I NEED HELP WITH)

Answers

Answer: x=6, -3

Step-by-step explanation:

Yea

Answer:

x=6 or -3

Step-by-step explanation:

Make a graph to show the relationship between temperature units, using Celsius as the x-axis. Which are true statements? Check all that apply. The graph includes points in three quadrants. The graph is a line. The graph includes points on only one quadrant, because negative values do not make sense. As one value increases, the other increases. As one value increases, the other decreases.

Answers

Answer:

2 and 3

Step-by-step explanation:

Answer:

It's

A

B

D

Step-by-step explanation:

got it right

7 x 8 x 3 =_ x 3 = _+_+_+_=

Answers

Answer:

7 x 8 x 3 = 56 x 3 = 56 + 56 +56 = 168

Step-by-step explanation:

What is a formula for the nth term of the given sequence?
19,23,27...

Answers

+4 next terms are 33,37,41,44,47,50 and so on.....

DO ALL OF THESE FOR BRAILNESTNFFC THING

Answers

1st is 5. 2nd is 7. 3rd is 4. 4th is 3/5. 5th is 2. 6 is -1/4. 7is 5/6. 8 is 8/7

Plz help
Simplify 6(3x-5)+5(2x-1)

Answers

28x - 35 is the simplified from

The measurements of 100 products from the assembly line show that 99% are correct. Is this percentage a parameter or a statistic and why

Answers

Answer:

The percentage is a statistic, because it is a mesure of the sample.

Step-by-step explanation:

The difference of statistic and parameter is given by:

Statistic is a measure of the sample.

Parameter is a measure of the population.

In this question, we have that:

The measurements of 100 products from the assembly line show that 99% are correct.

This is the percentage from a sample of 100 products, not from an entire population, so the percentage is a statistic.

Which statement is true. All rhombuses are similar. B all rectangles are similar l. C all isosceles trapezoid are similar. D all isosceles right triangles are similar

Answers

Answer:

I think the answer is "All rhombuses are similar."

Step-by-step explanation:

Which of the following is the best example of a long-term goal?

Earning a two-year college degree
Saving enough to fully pay for your children's college educations
Saving 15% of all your earnings*
Earning a total of $200 more per month

Answers

Answer:

Earning a two-year college degree

Saving enough to fully pay for your children's college educations

Step-by-step explanation:

The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an area of 100 cm??
helppp!!

Answers

Answer:

[tex]\huge\boxed{1000 \ \text{cm}^3}[/tex]

Step-by-step explanation:

There are two ways we can solve this equation.

A) Using the formula provided

The formula provided states that the volume of a cube based on the area of one of it's faces will be [tex]a^{\frac{3}{2}}[/tex], a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

[tex]100^{\frac{3}{2}}[/tex]

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - [tex]100^{\frac{3}{2}}[/tex] becomes [tex]\sqrt{100^3}[/tex]

[tex]100^3=1000000[/tex] [tex]\sqrt{1000000}=1000[/tex]

Therefore, the volume of this cube will be [tex]1000 \ \text{cm}^3[/tex]

B) Using prior knowledge about cubes

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be [tex]s^2[/tex], where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is [tex]s^3[/tex].

Since we know that one face is 100, we can make an equation - [tex]s^2=100[/tex]

[tex]\sqrt{s^2}=\sqrt{100}[/tex] [tex]s=10[/tex]

Now that we know the value of s, we can plug it into the volume formula, [tex]s^3[/tex].

[tex]10^3[/tex] [tex]10 \cdot 10 \cdot 10[/tex] [tex]1000[/tex]

So the volume is [tex]1000 \ \text{cm}^3[/tex].

Hope this helped!

Over what interval(s) is the function strictly linear? Look at the picture. Don't Answer If You Don't Know What The Answer Is Please. Will Mark Brainliest. ​

Answers

Answer:

The answer is given by option c.

Step-by-step explanation:

Linear function:

The graphic of a linear function is a straight line.

In this question:

We have a straight line for x between -2 and 0, so in this interval the function is linear.

For x between 0 and 2, the function is a curved line, so not linear in this interval.

We also have a straight line for x between 2 and 4, so in this interval the function is linear.

So it is linear in the following intervals: -2 < x < 0, 2 < x < 4, so the answer is given by option c.

Hello, can you answer this for me


Steve's moms age is 7 years less than 3 times Steve's age. The sum of their ages is 65 years. Find their ages.

Answers

Answer:

Steve is 18 and and his mother is 47.

Step-by-step explanation:

if you add those numbers you'll get 65

Evaluate. Round your answer to the nearest thousandth.
log4 ^21

Answers

[tex]\log_4 21 = \dfrac{1}{2}\cdot \log_2 21 = \dfrac{1}{2}\cdot \left(\log_23+\log_2 7\right) \approx \dfrac{1}{2}\cdot\left(1.584+2.807\right) \approx 2.196[/tex]

Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

[tex]\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)[/tex]

           [tex]= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\[/tex]

The value of the coordinates are [tex]3, 0, 2[/tex] . so, the equation of the line is:

[tex]\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k[/tex]

Please help with A through D

Answers

Answer:

A. 6.466

B. 6

C. 5

D. 30 nominations

Step-by-step explanation:

A. The mean is all of the numbers added together, and divided by how many numbers there are, so take all of the numbers, which end up being added up to 97, and then divide by 15, because that´s how many numbers there are, you end up getting 6.46666 and you round it to 6.466

B. The median is when you take all of the numbers and put them into order, and then find the number in the exact middle of all of the numbers, so the numbers were 4 5 5 5 5 5 5 6 6 7 7 8 8 9 12, the middle number was 6

C. The mode is the number that appears the most, and that would be 5

D. The most reccuring number is 5, and if you take that and multiply it by how many times it is shown, 6, you get 30

I hope this helps!

(82 + 2) 3 - 17 PLEASE ANSWER

Answers

Answer:

235

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

This is a simple question for a calculator (although if you were doing it without, just do the parentheses first, multiply by the three, then subtract by 17. Hope this helps!

Which decimal is equivalent to 19/50

Answers

The answer is 0.38 hope this helps

how many miles would it be ??

Answers

He drove 217 miles because 124/4 is 31 and 31x7 is 217!

help I need help pleaseee

Answers

Answer:

The perimeter of a rectangle is the sum of twice the length and twice the width. If the perimeter is at least 48 cm, then the minimum perimeter is 48 cm.

Let width = x

Let length = x + 4

Perimeter = 48

We can set an inequality for perimeter using the variables.

2x + 2(x + 4) ≥ 48

Solve for x.

2x + 2x + 8 ≥ 48

4x + 8 ≥ 48

4x ≥ 40

x ≥ 10

Substitute this value of x into the variable to get your width and length.

width = 10 cm

length = 14 cm

Step-by-step explanation:

hope it helps

Can someone answer this and then teacher me how I can do more like this in the future?

Answers

Answer:

15²+40²=42.72

Step-by-step explanation:

In this particular problem, you can use pythagorean theorem. The pythagorean theorem consists of the formula a²+b²=c². This theorem is mostly used when solving for the hypotenuse in a right triangle.

In this problem,

a=15

b=40

c=? (this is the hypotenuse)

then, plug the numbers into the formula

a²+b²=c²

15²+40²=?

15²=225

40²=1600

1600+225=1825

or you could just punch the numbers in a calculator

then take the square root of 1825 to find your answer

√1825=42.72

Hope this helps! :)

Jarad scored 18 points at a basketball game if the final score 60 points what percentage of the final score was jarad

Answers

Answer:

30%

Step-by-step explanation:

can someone help me with this? its solving systems by substitution

Answers

Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3

what is 1,000+20,222

Answers

the answer is 21,222
21,222 is the answer
Hope that helps and have a good day <3

A total of 937 people attended the play. Admission was $2.00 for adults and $0.75 for students. The total ticket sales amounted to $1,109. How many students and adults attended the school play? First complete the equations below, where A stands for Adults and S stands for Students. 2A + 0.755 = 1,109; A + S = 937 Now use the equations to find the number of students and adults. Students = [?]; Adults = [ ] ​

Answers

Answer:

612 students and 325 adults.

Step-by-step explanation:

To determine the number of adults and students who attended the event, knowing that in total there were 937 people who spent a total of $ 1,109 and that each student ticket is worth $ 0.75 while each adult ticket is worth $ 2, the following logical reasoning must be performed:

2 - 0.75 = 1.25

Therefore, the minimum that each ticket will be worth is $ 0.75, while there will be a surplus of money that will be divisible by 1.25, which is the amount of more that each adult paid on their ticket.

Therefore, since 0.75 x 937 equals 702.75, the total price surplus is 406.25 (1,109 - 702.75). Now, this number divided by 1.25 gives a total of 325, with which 325 adults attended the event. In turn, given that the total number of attendees was 937, the total number of students who attended the event is 612 (937 - 325).

Other Questions
What did Ancient China have in common with earlier civilizations? help this is worth a lot of points Write 4^6 as a product of the same factor. *4x4x4x4x4x46x6x6x64x66x4 HELP ASAPWhat role did Olaudah Equiano play in Great Britain's abolitionist movement?A. He encouraged British leaders to aid former slaves during theHaitian Revolution.B. He convinced British citizens to oppose slavery by describing hisown life as a slave.C. He proposed a bill in the British Parliament banning the Atlanticslave trade.D. He used economics to demonstrate that Great Britain was betteroff without slavery. The population of a town is increasing at a rate of 7% annually. The population in 2001 was 5,226. Choose the equation below that gives the population of the town, Pn, n years after 2000. Then, use the equation to determine what the population of the town will be in 2028. A. Pn = 5,226(1.07)n ; P28 = 34,746 B. Pn = 5,226(1.07)n ; P28 = 32,473 C. Pn = 5,226(1.07)n-1 ; P28 = 34,746 D. Pn = 5,226(1.07)n-1 ; P28 = 32,473 Select the correctly punctuated sentence. A. Tevon missed too many days of class, so he will have to withdraw for the semester. B. Tevon missed too many days of class so, he will have to withdraw for the semester. C. Tevon missed too many days of class so he will have to withdraw for the semester. What is the correct meaning of the word vivid? The author's vivid memories of his childhood were woven into his poetry. unusual clear faint imaginative Done !!!HALPP!!! I rlly need help pls!!! !!!DUE IN 15 MINS!!!Sandwich shop customers can choose the bread and meat they want. The table shows the sandwiches that were sold on a given day. What is the experimental probability that the next sandwich sold will be tuna on wheat bread? A sample of water contains 5.24 x 1022 molecules. How many moles are in this sample? FIRST ANSWER GETS BRAINLIEST PLEAAASEEE HURRY!!!Which of the following are periods in the geological time scale?Check all that are true.Paleozoic EraCenozoic EraPrecambrian TimeDarwinian TimeMesozoic Era A WANTONNESS of spirit suggests...spontaneityO restraintO neutralityO indifference Find the perimeter of the rectangle.A rectangle with length 12 millimeters. The area of the rectangle is marked as 132 square millimeters. Freddie has a bag of jelly beans that has the following colours. 2 purple 1 red 4 yellow 3 orange. What is the probability that Freddie will select an orange jelly bean?\ 10% 20% 30% 40%100 point who is your least favorite teacher? And why ( complete Sentences) multiple choice !!! A B C OR D ! Please help!!!! I dont know it Summarize the two arguments (Hamilton vs. Jefferson) in the debate for the banks. 2. Which argument do you think was the strongest and why? You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. How much water can a pool hold? Use 3.14 for pie. $700 principle earnings 2.25%, compounded quarterly,after 6 years the answers are/a. $799.98/b.$17,178.00/c.$800.87/d. 723.96 What forces are responsible for breaking down a rock