Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies

Answers

Answer 1

Answer:

6188

Step-by-step explanation:

Number of children's movies = 4

Number of comedy movies = 7

Number of mystery movies = 7

Number of horror movies = 5

Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies

To find:

Number of different combinations to rent 9 movies out of which 4 are children's movies

Solution:

Number of movies left to be rented = 9 - 4 = 5

Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17

Now, there are a total of 17 movies out of which 5 are to be selected.

Therefore, we can use:

[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]

where, [tex]n = 17[/tex]

[tex]r = 5[/tex]

[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]


Related Questions

Please someone help:)

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Answer:

Im lost to lol mark brainlest imagine

Look at this please i dont need help im just trying to tell everybody something

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Answer:

ok

Step-by-step explanation:

market price of a dress is 1500 rupees shop owner give a discount of 20% find the discount and the bill amount paid​

Answers

Step-by-step explanation:

Marked price (mp) =rs 1500

discount (d) = 20%

discount amount = d% of mp

=20/100 *1500

= Rs. 300

bill amount paid = mp -d

= 1500 - 300

= Rs. 1200

Pls give the right answers
Pls help
Pls help
Pls help

Answers

Answer:

H

Step-by-step explanation:

Because I’m decimal if it is negative the greater the number in negative the less it is

Find the equation for the circle with center (3,−5) and diameter of length 8.

Answers

Answer:

(x-3)² + (y+5)² = 16

Step-by-step explanation:

Radius will be half of diameter means that radius = r = 8/2 = 4.

With Center (h,k) the equation of circle is

(x-h)² + (y-k)² = r²

so by putting values answer will be

(x-3)² + (y+5)² = 4²

(x-3)² + (y+5)² = 16

(15 POINTS) Select the correct answer.
Which equation has infinitely many solutions?

A. -5(x + 2) = -4x - 12 - X + 2
B. 3x – 4 + 2x = 5(x-4)
C. 5(x + 7) = -5(X - 7)
D. 6x + 2 - x = -2x - 2 + 7 x

Answers

A. -5(x+2)=-4x-12-X+2

please solve question in picture branoist to first and correct​

Answers

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

-4 > x - 3 find x in the equation

Answers

Answer:

X= -1

Step-by-step explanation:

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)

Answers

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.

Answers

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Need Heeeeeelp please ...

Answers

the answer is red of all

Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?​

Answers

6.5 because 51-12 is 39 and 39 divided by 6 is 6.5 so about 6.5

A local pizza shop has a membership program for frequent buyers. The membership
costs $15 per month and members get a discounted price of $2 per slice of pizza.
Mayerlin purchased a membership to this pizza shop. How much would Mayerlin
have to pay the pizza shop if she bought 11 slices of pizza this month? What would be
the monthly cost for x slices of pizza?

Answers

The answer to this problem might be 5 slices

Answer:

cost of slices=2x

cost=monthly fee+cost of slices

15x+2x

Step-by-step explanation:

josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?

get it right i will give you 100 points

Answers

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

I GIVEEE BRAILILSTTTTTTTT

Answers

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

What do you get when you cross an electric eel and a sponge puzzle time riddle

Answers

Answer:

A shock absorber?

Step-by-step explanation:

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)
(2, 1)
(14, 1)
(2, -7)

Answers

Answer:

(14 , -7)

Step-by-step explanation:

terminal points: A (-6,3)   B (4,-2)

u = x₁ + i y₁    u = -6 + i3

v =x₂ + iy₂ = 4 - i2       2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(14, -7)

(2, 1)

(14, 1)

(2, -7)

Algebraic Expression
43 times greater than
the sum of 57 and 93​

Answers

The algebraic expression is the following

43(57+93)

You’re going to want to put into parentheses the numbers 57 and 93 anytime you are asked for the sum of two numbers. Of course you would want to complete that portion of the algebraic expression first (PEMDAS) then you would want multiply that by 43 to make it 43 times greater.

43(150)

The final answer to the expression is 6,450

Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?

Answers

Answer:

4.625

Step-by-step explanation:

that is the answer

Solve each inequality using addition and subtraction. Then graph each solution
set on a number line.
-7x + 5 + 8x >3,

Answers

Answer:

wish i could herlp sorry have a great day

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made ​

Answers

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly


polynomial expression
6x2 + 10x - 56

Answers

Answer:

-34

Step-by-step explanation:

Answer:

The answer is  34

Step-by-step explanation:

i was following the order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so i did 6x2 which got me to 12 and then I added 10 which gave me 22, and then lastly i subtracted 56-22 which gave me 34.

~Hope this explanation has helped you, have a great day/ night!~

What is the following product?

Answers

Answer:

10.25 which is equal to letter c

Step-by-step explanation:

I used a calculator and figured out which equals it

Find the missing value in the percent statement using a proportion.
______ is 75% of 4.

Answers

Answer: 3

Step-by-step explanation: Hope I helped

102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121​

Answers

Answer:

For figure 1:

Area of rectangle = 7x + 21

For figure 2:

Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Step-by-step explanation:

We need to find area of rectangle

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

For figure 1:

Length = 7

Width = x+3

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]

So, area of rectangle = 7x + 21

For figure 2:

Length = p

Width = p-9

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]

So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Find the values of the variables in the parallelogram.

Answers

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

What is the solution to the system of equations? =6x=y=8 5x+3y = 29 (10,-2) (10, 2) O (2, 10) (-2, 10)​

Answers

Its the 2nd one in the picture

[Calculus] analyze speed from position. Show steps, please!

Answers

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Which has the greatest value for 1? *
A. 0.1
B. 0.21
C. 0.321
D. 0.4321​

Answers

Out of all the numbers

D. 0.4321 is the largest number
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