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

HELPPPPPPPP DUE TODAYYYY!!!!!!!!!!!!! WORTH 30 POINTS!!!!!!!!!

Answers

Answer:

4.5

Step-by-step explanation:

Y=2x^2 - 8x+3 graph the equation

Answers

Answer:

Graph is below.

Step-by-step explanation:

The solutions of the equations are : x = [8 ± √ 40] / 4

Given,

Y=2x² - 8x+3

Now,

To get the solution of equation equate it to 0 .

2x² - 8x+3  = 0

By quadratic formula,

x = -b ± √ b² - 4ac/2a

Substitute the values in the formula,

x = [8 ± √ 64 - 4(2)(3)] / 2* 2

x = [8 ± √ 40] / 4

Now plot the points in the graph. The graph is attached below.

Know more about equations,

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You charge 2500 to a credit card. Use the compound interest formula to find the new amount you owe on your credit card after 6 months 20% APR compounded daily (assuming you don’t make any payments)

Answers

Answer: Well This is what  24% APR on a credit card is?

If you have a credit card with a 24% APR, that's the rate you're charged over 12 months, which comes out to 2% per month. Since months vary in length, credit cards break down APR even further into a daily periodic rate (DPR). It's the APR divided by 365, which would be 0.065% per day for a card with 24% APR.

Step-by-step explanation:

A fish swims 30 miles every 5 hours. How many miles does the fish swim each hour?
A. 15 miles
B. 5 miles
C. 150 miles
D. 6 miles

Answers

Answer:

6 miles

Step-by-step explanation:

30 divided by 5 equals six, therefore six miles.

Answer:

i think it is 6

Step-by-step explanation:

you divided 30 by 5

Determine how, if possible, the triangles are similar. PLS SOLVE ASAP

Answers

Answer: They are both scalene triangles

Step-by-step explanation: look at the types of triangle

Answer:

not similar

Step-by-step explanation:

They are so not similar

Which equation best represents the weight, w, of this alligator, n, weeks after hatching?

Answers

Answer:pretty sure its 0.25n+6

Step-by-step explanation: that seems the most reasonable

Use the Distributive Property to simplify the expression. 7(8 + y)

Answers

Answer:

56+7y

Step-by-step explanation:

7*8 = 56

7*y = 7y

56 + 7y

Answer:

[tex]\huge\boxed{\bold{56+7y}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression using the Distributive Property.

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our math problem:

[tex]\bold{7(8+y)}[/tex]

[tex]\bold{7*8+7*y}[/tex]

[tex]\bold{56+7y}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

−1/5(x−4)=−2 Please help me fast

Answers

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

Algebraic Expression Evaluate the expression 9x + 2 when × = 3

HELP ME​

Answers

Answer:

The value of 9x+2 when x=3 is 29

Step-by-step explanation:

Algebraic Expressions

We are given the expression

9x + 2

And it's required to evaluate the expression when the value of x is 3.

It can be done by substituting x by 3:

9*3 + 2

=27 + 2

=29

The value of 9x+2 when x=3 is 29

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answers

Only A is a linear function because B is not a straight line.
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3

5=5/3*3+b

b=0

Y=5/3x

What is the equation of a line through (6, 8) and (3,-1)
in slope intercept form y=mx+b?

Answers

The answer is y=3x-10

What's 27.63 subtracted by 60

Answers

Answer:

-32.37

Step-by-step explanation:

Answer:

-32.37

Step-by-step explanation:

Find the value of x so that the function has the given value.

r(x)=−45x+7; r(x)=−5

Answers

Answer:

x = 3

Step-by-step explanation:

j(x) = 4/5(-5) + 7

= -4 + 7

= 3

2.7.–2.5 = 6.75

A . agree

b. disagree; a negative times a negative is positive
C. disagree; a positive times a negative is negative.
PLEASE answer quick ​

Answers

The answer to this is about c

please!!! help me which one is ???

Answers

Answer:

The answer is 150 degrees because you add 100 to the 50.

Step-by-step explanation:

Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years

Answers

Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.

What is simple interest?

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]SI = \dfrac{P \times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The simple Interest she is currently getting,

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]

A.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]

B.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]

C.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]

D.)

[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]

Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.

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PLEASE HELP. Mr. Washington made several purchases for his printing business. The mean price of the purchases was $150, and the mean absolute devlatlon was $30 . Based on this informaton, which statement must be true?

Answers

Answer:

the 4th statement

Step-by-step explanation:

It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:

Answers

Answer:

The equations are not given but the clue to your answer is given below:

Step-by-step explanation:

So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.

To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:

1. The maximum number or power that any variable in a linear equation is raised to is 1.

Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.

2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.

Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.

3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.

Example: 2x + 6y = 43z is NOT a linear equation.

603.8 • 1,000 what is the equivalent expression

Answers

Answer

603800

Step-by-step explanation:

Yuh

write a five digit number with an 8 that is 10 times the value of 8 in 48,324​

Answers

Answer:

800000

Step-by-step explanation:

the 8 is 10,000, so 10 x 10,000 = 100,000

100,000 put an 8 anywhere

A total of 817 tickets were sold for the play. They were either adult or student tickets. There were 67 more student tickets sold than adults. How many adult tickets were sold?

Answers

Answer:

375

Step-by-step explanation:

"817 tickets were sold"

a and s are the number of adults and students, respectively.

a+s = 817

s = 817-a

"67 more student tickets sold than adults"

s = a+67

817-a = a+67

750 = 2a

a = 375

375.

817 minus 67 = 750÷2=375

an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct

Answers

Answer:

it lose 90 percent in 3 hours so peter is incorrect

Step-by-step explanation:

Express 4837% as a decimal.

Answers

Answer:

48.37

Step-by-step explanation:

48.37

Answer:

48.37

Step-by-step explanation:

An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.

Answers

Answer:

ok keep going more questions cause ido t get it what u trying to ask

What’s the question? Is it supposed to be how much she gained in her raise? If so, she gained $1.17 in her raise.

Frank invests $5100 for 8 years at a simple interest rate of 5%. How much interest will he earn? What will his total value be?

Answers

Answer:

A = P(1 + r)t

Step-by-step explanation:

Or this formula:

[tex]A = P(1 + \frac{r}{n} )[/tex]

Erin had $35 more than Angie who had 3 times as much money as Jacob. If they had $196 altogether, how much money did each have?

Answers

Answer:

$23

Step-by-step explanation:

let j be jacob"s money

Then angie is 3j, and Erin is 3j+35 so 7I

=161

j=23

Answer: Erin - $104; Angie - $69; Jacob - $23.

(please give me brainlest ❤️)

Step-by-step explanation:

JACOB has least amount of money, so let's say that he has :

x amount of money

ANGIE has 3 times more than jacob:

Angie has 3x

ERIN has $35 more money than Angie:

3x+35

their money together is $196, that means if we add all of their money, it will be equivalent of 196:

3x+35+3x+x=196

now lets find x value.

put all the xes on right side and all known numbers on left side.

i think u know that when it goes to another side it changes sign; for example - makes + and × makes /

3x+35+3x+x=196

7x=161

x=161/7

x=23

now plug x values for each kid:

so Jacob had x=23

Angie had 3x=3×23=69

and Erin had 3x+35=69+35= 104

lets check our answer:

23+69+104=196

196=196

so sum of their money really gives us $196.

how could you use 1/8 measuring cup to measure 1/4 cups of water ​

Answers

You could use the 1/8 measuring cup twice because that would be 2/8 which is the equivalent to 1/4 with GCF of 2

We can use 1/8 measuring cup two times.

What is measurement?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

A cup of measurement 1/8.

Now,

we have to measure 1/4 from the cup using cup of measurement 1/8.

So, we can measure it two times.

as, 1/8+ 1/8

= 2/8

=2/4.

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What is the slope of a line perpendicular to the line whose equation is x-y=6

Answers

Answer:

1

hope this helps!!:)

Step-by-step explanation:

Help pls! 37 points.

Answers

Answer:

7 squares

Step-by-step explanation:

Key skills: Counting, Averages

1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.

2) Since there are already 53 squares present, you need 60-53 = 7 squares more.

Hope you understood and have a nice day!!

answer:

should be 7 squares.

Can please thank you

Answers

Answer:

She would need to work at least 11.363636 hours

Step-by-step explanation:

475+11x≥600

11x≥600-475

11x≥125

x≥125÷11

x≥ 11.363636

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