Roxie is picking out some movies to rent, and she is primarily interested in horror films and foreign films. She has narrowed down her selections to 20 horror films and 8 foreign films. Step 2 of 2 : How many different combinations of 3 movies can she rent if she wants at least two horror films

Answers

Answer 1

Answer:

2470

Step-by-step explanation:

Roxie must pick 3 movies from 20 horror films and 8 foreign films with at least two horror films.

i) She can pick 2 horror films and 1 foreign film

The number ways this is possible = C(20, 2) * C(8, 1)

[tex]C(20,2)=\frac{20!}{(20-2)!2!}=190\\\\C(7,1)=\frac{7!}{(7-1)!1!}=7[/tex]

The number ways this is possible = C(20, 2) * C(8, 1) = 190 * 7 = 1330

ii) She can pick 3 horror films

The number ways this is possible = C(20, 3)

[tex]C(20,3)=\frac{20!}{(20-3)!3!}=1140\\\\[/tex]

The number ways this is possible = C(20, 3) = 1140

The number of ways of picking 3 movies from 20 horror films and 8 foreign films with at least two horror films = pick 2 horror films and 1 foreign film + pick 3 horror films

The number of ways of picking 3 movies from 20 horror films and 8 foreign films with at least two horror films = 1330 + 1140 =2470


Related Questions

Determine the intercepts of the line.
8x-5y=-11

Answers

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

Answer:

Intercept on y-axis is

[tex]b=\frac{11}{5}[/tex]

Step-by-step explanation:

Equation of line in slope intercept form is given as

[tex]y=mx+b[/tex] ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

[tex]y=\frac{8}{5} x + \frac{11}{5}[/tex]----------(2)

Comparing equation (1) and equation (2)

[tex]b=\frac{11}{5}[/tex]


Which correctly describes how the graph of the inequality 5x + 2y > 13 is shaded?

Answers

Answer:

We can't graph on this app but this is what I can give you.

Step-by-step explanation:

The 5+2 part automatically makes 7, obviously, meaning that x and y each would have to at least represent 2 for this equation to be true.

whats the difference between y=4-1/2x and y=1/2x+4​

Answers

Answer:

the numbers r switched

Step-by-step explanation:

Answer:

its opposites y=1/2x+4 would be more because its adding on the other on is decreasing

Step-by-step explanation:

The height of an object dropped from a tower is 64 feet above the ground after t seconds can be modeled with the function h = 16x2 + 64. which description is true about the the possible domain values of this real world function

Answers

Answer:

144 ft

Step-by-step explanation:

IXL please help!...........

Answers

Answer:

12 cm

Step-by-step explanation:

20² = length² + 16²

length² = 400 - 256 = 144

length = 12

Check

20² - 16² = 12

Hopefully I'm right!!

Which equation best represents the relationship between x and y in the graph? (PLEASE ANSWER I BEG YOU :( PLSSSSS)​

Answers

Step-by-step explanation:

We observe the line graph.

For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.

Also, the y-intercept when x = 0 is 2.

Slope-intercept form: y = mx + c

Hence we have y = 2x + 2. (C)

Answer:

B I think

Step-by-step explanation:

It’s either that or c


In the figure, JKLM - EFGH Complete the following table

Note: 1) Figures not drawn to scale.
ii) Use slash to separate numerator and denominator, wherever needed.
Scale factor of JKLM to EFGH
Value of X
Value of Y
value of Z

Answers

Answer:

Step-by-step explanation:

Scale factor of JKLM to EFGH is 5/2.

Value of x = 27.5

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

JKLM ~ EFGH

Scale factor = JK/EF = 20/8 = 5/2

So, KL/GF  = 5/2

x/11 = 5/2

x = 55/2

x = 27.5

There is scale factor of 5/2 from JKLM to EFGH.

27.5 is value of x.

Learn more about scale factor here:

https://brainly.com/question/29464385

#SPJ2

Gross profit will always be___ net income.

a. equal to
b. less than
C. greater than
d. unrelated to

Answers

Answer:

C. Greater than

Step-by-step explanation:

Gross profit will always be greater than net income.

What is gross profit and net income?

Gross profit is the total revenue earned before any form of expense in subtracted. Net income is gross profit less total expenses.

For example, if the selling price of a pencil is $1 and 1000 pencils is sold. Total cost is $500. Gross profit would be $1000(1 x 1000). Net income would be $500.

To learn more about gross profit, please check: https://brainly.com/question/26948480

Please help!!!! :D 51 points of right! :3! :>

Answers

Answer:

r is wrong, t is wrong,

Step-by-step explanation:

dum gio

Need help with this question

Answers

Answer:

5 is not in the domain

Step-by-step explanation:

the domain is x ≤ 2

2. An 18-ft steel beam is to be cut into two pieces so that one piece is twice the length of the other. Find the length of each piece.

Answers

The first piece would be 12 feet and the second piece would be 6 feet.

[4×(6 - 3) + [(8 - 2)÷2]

what is the value of the expression

A. 9
B. 15
C. 19
D. 24
E. 28​

Answers

Answer:

B. 15

Step-by-step explanation:

6-3=3, multiply 4 by 3 then add 6 (Answer to 8-2) then divide by 2

4×3+6÷2

Whoever answers it first gets the title brainliest.

Answers

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24

What is 10x9 and 9x10

Answers

Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

Please help me solve this fast

Answers

Answer:

1.

Clean machine slope: 3/2

Sudz slope: 3/2

This means they rise and run at the same rate.

2.

y intercept of clean machine: 2

y intercept of sudz: 4

this tells us that the cost for sudz is higher per pound.

3.

Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.

4.

a. plot these points

Brand A: (0,100) (1,150)

Brand B: (0,200) (1,225)

b. Brand B cuz 25 is lower than 50

What is the most specific name for the quadrilateral shown?
A) Parallelogram
G
B) Rhombus
C) Rectangle
D) Square
H

Answers

The answer is D square

Good afternoon guys and god bless!! does anyone know the answer to this?

Answers

Answer:

The answer to the question provided is

[tex] - \frac{5}{4} [/tex]

Step-by-step explanation:

God bless you too!!

Have a good afternoon <3

the answer is -5/4 >3

The price of 6 slices of pizza and 4 drinks is $37. The price of 4 slices of pizza and 6 drinks is $33. How much does one drink cost?

Answers

One drink cost $2.50

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
4
8

Answers

Answer:

[tex]k = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

[tex]y = kx[/tex]

When y = 1, x = 2;

So, we have:

[tex]1 = k * 2[/tex]

[tex]2 * k = 1[/tex]

Make k the subject

[tex]k = \frac{1}{2}[/tex]

Hence, the constant of proportionality is 1/2

Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per gallon (rate of change) for each car and interpret the meaning in terms of the problem. Which car has a better gan mileage?
Car A. | car b |
|No. If gallons used | 4 | 9 | 15 | f(x) =22x |
Total mileage | 76 | 161 | 285

Answers

Answer:

Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.

Step-by-step explanation:

Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 30 grams, how much of the element would remain after 12 years, to the nearest whole number?

Answers

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

A = starting amount = 30 grams

H = half life period = 90 years

x = number of years that pass by = 12

y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number

.If you travel for 18 hours a distance of 7,794 miles, what was the speed that you traveled per hour

Answers

Answer:

433 mph

Step-by-step explanation:

Speed = Distance/Time = 7,794/18 = 433 mph

Someone please answer this question for me it’s my last one on my chapter test. It would be very appreciated

Answers

Answer:

We have the function:

[tex]P(t) = \frac{800 + 630*t}{20 + 0.09*t}[/tex]

a) The population of deer when t = 60 is equal to P(60)

We just need to replace t by 60 in the above equation:

[tex]P(60) = \frac{800 + 630*60}{20 + 0.09*60} = 1,519.7[/tex]

We can not have the 0.7 of a deer, so we could round this up to 1,520

So at t = 60, we would have around 1,520 deers.

b) The horizontal asymptote of P(t) = y is when the denominator of the function is equal to zero (this is when P(t) goes to infinity).

Then we need to find the value of t such that:

20 + 0.09*t = 0

20 = -0.09*t

20/-0.09 = t = -222.222...

The asymptote of P(t) is at t = -222.222...

Because in this case t is negative, the function will diverge to infinity and minus infinity.

c) We can ignore the asymptotes and only compute this for positive values of t.

To find the maximum, we first need to look at the zeros of the first derivative of P(t):

[tex]P'(t) = \frac{630}{20 + 0.09*t} - \frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = 0[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = \frac{630}{20 + 0.09*t}[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09*(20 + 0.09*t) = 630[/tex]

[tex]\frac{800 + 630*t}{20 + 0.09*t} *0.09 = 630[/tex]

[tex](800 + 630*t) *0.09 = 630*(20 + 0.09*t)[/tex]

[tex]0.09*800 + 0.09*630*t = 630*20 + 630*0.09*t[/tex]

[tex]0.09*800 - 630*20 = 630*0.09*t - 0.09*630*t[/tex]

That last equation has no real solution, this means that we do not have a maximum. Then we will have a vertical asymptote

Then we can just look at the graph of the function (is below)

And you can see that we have a horizontal asymptote at y = 7000, then this will be the maximum number of deers.

xy+(z-x) x=3 y=2 z=4​

Answers

Answer:

7

Step-by-step explanation:

xy + (z-x)

x = 3

y = 2

z = 4

3×2 + (4-3)

6+1

= 7

A race car can complete 8 laps in 1/3 hour at this rate how many hours will it take the race car to complete 1 lap in fractions

Answers

Answer:

yes

Step-by-step explanation:

Answer:

6.66 minutes to complete one lap.

Step-by-step explanation:

i need help plz help me​

Answers

6×8=48 and 12×4=48 so it is 48 though 48 is the same

Answer

solve for x x/3+5=5

x=​

Answers

Answer:

x=15

Step-by-step explanation:

(I had this question on a test my teacher told me my answer)

lol hope it helps you and/or others :))

           

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

HELP PLEASE WILL GIVE BRAINLIEST!

Answers

Answer:

So easy

Step-by-step explanation

on the y axis put -5 and then for x axis put -6

Answer:

(2,0) and (4,0)

Step-by-step explanation:

The roots are the values of x for which y = 0, or where the graph crosses the x-axis. (2,0) and (4,0)

help pls its very urgent u get 15 points too plz help

Answers

Answer:

Payback B

Step-by-step explanation:

Thx for the points bbg

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