Type the correct answer in the box. If necessary, use / for the fraction bar. Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement. The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is

Answers

Answer 1

Answer: 77 / 1785

Step-by-step explanation:

Number of caramels = 10

Number of mints = 12

Number of dark chocolate = 14

Total number = 36

Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:

= 12/36 × 11/35 × 14/34

= 1/3 × 11/35 × 7/17

= 77/1785


Related Questions

I need help!!

Find the height of this cone using the Pythagorean Theorem.

Answers

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Please help! Thank you

Answers

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Practice multiplying numbers by powers of 10.

Answers

Answer:

Multiply (400 + 20 + 3) x 10000

Add 4 zeros to the end of 423

Step-by-step explanation:

423 x 10,000 = Adding the amount of zero’s in 10000 to 423



in a survey of 850 students in a school 90% reported having pets at home. if the margin of error is +3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home

Answers

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Let f(x) = 4x + 3 and g(x) = -2x + 5. Find. (g⋅f)(5)

Answers

Answer:

-41

Step-by-step explanation:

f(x) = 4x + 3 and g(x) = -2x + 5

g(f(5) ) =

First find f(5) = 4(5)+3 = 20+3 = 23

Then find g(23) = -2(23) +5 = -46+5 = -41

Under what condition the composite function of any two function is an identity function?

Answers

Answer:

under the condition of f(x)=x composite function is an identity one

Someone help pleasee

Answers

Answer:

Step-by-step explanation:

g(x) = 3f(-2x)

     = 3*([-2x)² + (-2x) - 2)

    = 3 (4x² - 2x - 2)

   =   3 * (4x² - 4x  +2x - 2)        {Rewrite the middle term}

  = 3 *[ 4x(x - 1) + 2(x - 1)]

 = 3* [ (x -1) *(4x + 2)]

 = 3(x - 1)(4x + 2)

x - 1 = 0    ;   4x + 2 = 0

x = 1         ;      4x   = -2

                        x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

Roots:   x = 1 , (-1/2)

PLZZZZZZ HELP! Find the area.

Answers

Answer:

14.88 km

Step-by-step explanation:

add both base 1 and base 2 together divide them by 2 then multiply by the height.


The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?

Answers

Answer:

sorry I don't know.....

The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:

a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?

Answers

Answer:

Step-by-step explanation:

Find the area of the triangle.
PLEASE HELP ASAP!

Answers

Answer:

D 111.4 cm²

Step-by-step explanation:

I'LL GIVE BRAINLIEST !! FASTER

please provide explaination​

Answers

Answer:

532

A

Step-by-step explanation:

A=86

B=180

C=94

D=266

now,

a+b+c+d_94

=86+180+94+266_94

=532

the process of finding the indefinite integral. Give an example to provide emphasis.​

Answers

Answer From Gauth Math

Which point bisects the segment ZV?

Answers

Bisect means it is in the middle so that the length of each side would be the same.

The bisector is point W

#1 with work please

Answers

Answer:

-19

Step-by-step explanation:

5v+3w

Let v = -5 and w=2

5(-5) + 3(2)

Multiply first

-25 + 6

The add

-19

1. Evaljate 5v +3w for v = -5 and w = 2

plug-in

5(-5) +3(2)

-25 +6

Answer: -19

2. Simplify the expression 8(e -1) + 2(e -1)

Distribute

8(e -1) + 2(e -1)

8e -8 + 2e -2

10e -10

Answer:  10e -10

x^{4} - 5x^(2) + 2x + 3 < 0

Answers

the Answer is irrational number

Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.

could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.

don't need to follow back. ​

Answers

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

anyone know if its a b c or d?

Answers

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

Find the slope of the line that passes through (7, 2) and (9, 9).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0

Answers

Answer:

x

[tex]x \leqslant - y + 1[/tex]

Steps are show in the picture above.

When the input is 1, what is the output of the function? That is, find the value of g(1).

Answers

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º

What are the values of x and y

Answers

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

x^2+4xy+4y^2-8x-16y-20​

Answers

Answer:

Step-by-step explanation:

x²+4xy+4y²-8x-16y-20=(x+2y)²-8(x+2y)-20

put x+y=t

t²-8t-20=t²-10t+2t-20=t(t-10)+2(t-10)=(t-10)(t+2)

substitute the value of t

x²-4xy+4y²-8x-16y-20=(x+2y-10)(x+2y+2)

i don't know what else you want.

A bookstore had 81 copies of a magazine. Yesterday it sold 7\9 of them. How many copies were sold yesterday?
Write your answer in simplest form.

Answers

Answer:

63

Step-by-step explanation:

81 x 7/9 = 63

To calculate, multiply 81 x 7. Then divide that total by 9.

Help I don’t get this

Directions: Write rack of the following statements using a symbolic language.


2. A number is four times larger than the square of half the number.

3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.

4
The sum of a number squared and three less than twice the number is 129.

5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book

Answers

Answer:

2.)4n>(n/2)^2

3. (The problem isn't clear)

4.)n^2+2n-3=129

5.)n-5=171

Step-by-step explanation:

2.)

4n(four times the number) >(larger than) (n/2)^2 (half the number squared)

4.)

Sum=addition

n^2 (number squared) +2n (twice the number)-3=129

5.)

N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)

Find x.

A. 4
B. 4√2
C. 2√2
D. 8

Answers

Answer: D. 8

Explanation:

As shown, x is the hypotenuse and we have an angle 30 whose adjacent side is 4sqrt3. When given an angle and its adjacent side and are required to find the hypotenuse, we may use the cosine of the given angle. Since cosine is adjacent/hypotenuse, we may apply this.

1) cos30 = 4sqrt3/x
2) sqrt3/2 = 4sqrt3/x
3) x/2 = 4sqrt3/sqrt3
4) x/2 = 4
5) x = 8

Hope this helps, brainliest would be appreciated :)

Number of subsets of B={p,q,r}​

Answers

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = [tex]2^{n}[/tex]

Her, n  is the number of elements in the set.

Number of subsets = 2³ = 8

Answer:

Sorry I don't know the answer

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barnyard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?

Answers

Using a system of equations, it is found that:

There are 8 chickens in the yard.There are 16 pigs in the yard.

-----------------------------------------

This question is solved using a system of equations. I am going to say that:

x is the number of chickens.y is the number of pigs.

-----------------------------------------

A chicken has 1 head, as do a pig.There are 24 heads.

Thus:

[tex]x + y = 24 \rightarrow y = 24 - x[/tex]

-----------------------------------------

A chicken has 2 feet.A pig has 4 feet.In total, there are 80 feet.

Thus:

[tex]2x + 4y = 80[/tex]

-----------------------------------------

Number of chicken:

Since [tex]y = 24 - x[/tex]

[tex]2x + 4y = 80[/tex]

[tex]2x + 4(24 - x) = 80[/tex]

[tex]2x + 96 - 4x = 80[/tex]

[tex]2x = 16[/tex]

[tex]x = \frac{16}{2}[/tex]

[tex]x = 8[/tex]

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

[tex]y = 24 - x = 24 - 8 = 16[/tex]

There are 16 pigs in the yard.

A similar problem is given at https://brainly.com/question/24104709

please help me I need​

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]2^{x+3}[/tex] × [tex]3^{x+4}[/tex] = 18 = 2 × 9 = [tex]2^{1}[/tex] × 3²

Then

[tex]2^{x+3}[/tex] = [tex]2^{1}[/tex]

Since bases on both sides are equal, both 2, then equate exponents

x + 3 = 1 ( subtract 3 from both sides )

x = - 2

Then

[tex]2^{-2+3}[/tex] = [tex]2^{1}[/tex]

and

[tex]3^{-2+4}[/tex] = 3²

18 = 2 × 3²

Answer:

x=-2

Step-by-step explanation:

[tex]2 {}^{x + 3} \times 3 {}^{x + 4 = 18} [/tex]

Apply the Inverse of the Product of Power Rule

If

[tex]x {}^{y} \times x {}^{z} = x {}^{y + z} [/tex]

This means that

[tex] {x}^{y + z} = {x}^{y} \times {x}^{z} [/tex]

So in order words,

[tex](2 {}^{x} \times 2 {}^{3} ) \times (3 {}^{x} \times 3 {}^{4} ) = 18[/tex]

[tex](2 {}^{x} \times 8) \times (3 {}^{x} \times 81) = 18[/tex]

Divide both sides by 31 and 8.

We get that

[tex]2 {}^{x} \times {3}^{x} = \frac{1}{36} [/tex]

[tex]6 {}^{x} = \frac{1}{36} [/tex]

Take the log of both sides.

[tex] log_{6}( \frac{1}{36} ) = x[/tex]

[tex]6 {}^{ - 2} = \frac{1}{36} [/tex]

so

[tex]x = - 2[/tex]

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c

Answers

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

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