A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie? EXPLAIN how the probability would change if two more comedy movies were added to the list in place of the 2 mystery movies.

Answers

Answer 1

Answer:

Step-by-step explanation:

1. The Probability that she selected 2 comedies and 1 action movie = (36/455) or 0.07912  

2. if two comedy movies were added to the list in place of the 2 mystery movie , the probability that she selected 2 comedies and 1 action movie = (18/91) or 0.1978

- I hope that makes sense, I hope its helpful, please let me know if it does.

Answer 2

Answer:

Then the probability of the comedies being chosen would go up because there would be more of them.

Step-by-step explanation:


Related Questions

help please thank you no links! ^^

Answers

Answer:

x = 31

y = 59

Step-by-step explanation:

90 - 59 = x

x = 31

31 + y = 90

90 - 31 = y

y = 59

Have a nice day!

The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)​

Answers

Answer:

x = 6

Step-by-step explanation:

because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other

Knowing the angles are equal to each other you can make the equation

2x + 29 = 9x - 13

then you solve for x in this equation

2x + 29 = 9x - 13

(subtract 2x from both sides)

29 = 7x - 13

(add 13 to both sides)

42 = 7x

(divide by 7 on both sides)

6 = x

x = 6

You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.

Answers

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!

Answers

On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

What is proportionality?

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

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help me please i need short answer :)​

Answers

Answer:

they are on opposite sides whick makes them in the opposite

Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx

Answers

The numeric value for each trigonometric expression is given as follows:

3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]

4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]

How to obtain the numeric value for the trigonometric expressions?

The first trigonometric expression for this problem is defined as follows:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]

The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:

[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).

Hence:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]

For item 4, the angles are on the first quadrant, hence:

[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]

Hence the numeric value of the expression is given as follows:

[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]

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find the value of X.
L,M∈KN

Answers

We know:
Angles on a straight line sum to 180 degrees, so we can calculate OLM and OML, OLM will be 180 - 134, and OML will be 180 - 84. These are both 46 and 96. We also know that three angles in a triangle sum to 180 degrees, therefore 46 + 96 + x = 180, or 142 + x = 180, so x = 38 degrees
the answer is x=38 degrees

2 miles equals how many feet?

Answers

Answer:

10560 feet.

Step-by-step explanation:

Daily Question 8/4/20: Cities A, B, C, D, and E are connected by roads AB, AD, AE, BC, BD, CD, and DE (see figure). How many different routes are there from A to B that use each road exactly once?

Answers

Geometrically there are 16 different routes from A to B that use each road exactly once.

What is geometry?

The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. Geometry comes from the Ancient Greek terms "geo" and "metron," which both imply "measuring."

Keep in mind that cities C and E can be excluded from the count of paths because there is only one road that can lead out of either city if a path enters it. The geometric diagram is shown below.

Now move on to the casework. It's important to keep in mind that there are two routes from A to D, D to A, B to D, and D to B.

Case 1: A⇒D: If the path from D leads back to A, the subsequent path must go to B⇒D⇒B. The path ADABDB has 2×1×2=4 possible outcomes. The path must continue with either BDAB or BADB if it leads from B to D. There are 8 possibilities as 2×2×2=8. Therefore, there are 4+8=12 potential outcomes in this scenario.

Case 2: A⇒B: BDADB must be the next step on the path. There are 2×2=4 options in this situation.

Combining the two situations results in 12+4=16.

Therefore, there are 16 different routes.

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F(x) = 3x -4 find each value of F(0)

Answers

Answer:

Step-by-step explanation:

Rewrite the function as an equation.

y

=

3

x

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

3

b

=

4

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

3

y-intercept:

(

0

,

4

)

wich holds less capacity 5 gallons or 20 cups

Answers

Answer:

20 cups holds less

Step-by-step explanation:

image you have 5 gallons and 20 cups you could see the diffrence between the 2.

its not that i want to kill her is just i dont want her to be alive :)

Answers

Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.

A geometric sequence is shown.

Fill in the missing terms for the geometric sequence.

What is the common ratio for this geometric sequence?

......... ,-11, 22, ....... , 88, -176.

Common ratio:........

Answers

The common ratio for the given sequence is -2.

Any term in the provided geometric sequence can be divided by the term before it to determine the common ratio.

For instance, the ratio obtained by dividing 22 by -11 is 2, the ratio obtained by dividing 88 by 22 is 4, and so on. This approach allows us to determine that the general ratio is -2. This indicates that the previous term is multiplied by -2 to produce each word in the sequence.To put it another way, the sequence begins with -11, and each term after that is acquired by multiplying the previous term by -2. Therefore, -11 x (-2) = 22 would be the following number, followed by 22 x (-2) = -44, and so on.

So the common ratio of the given sequence is -2.

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100 Points!!!!!!!!!

Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In the same direction?

Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In opposite directions?

Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: Orthogonal?

Answers

Answer:

its u=(-2,1)

Step-by-step explanation:

Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2

Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10

Identify the property of equality which yields Step 5.

A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property

Answers

A. Division Property
explanation:
The answer is : A.division property

Hope this helps!!

P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)​

Answers

Answer:

P=4×5+3×-2

P= 20x-6y

4e²+8e

Find the area of the trapezoid below to the nearest tenth.

Answers

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.

And '[tex]h[/tex]' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]

BE = [tex]3\sqrt{3}[/tex] units

By applying sine rule in ΔABE,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]

[tex]\frac{1}{2}=\frac{AE}{6}[/tex]

AE = 3 units

Length of [tex]b_1=BC=10[/tex]

Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                [tex]b_2=3+10+3[/tex]

                [tex]b_2=16[/tex]

Height between the parallel sides [tex]h=3\sqrt{3}[/tex]

Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]

                                    = [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]

                                    = [tex]39\sqrt{3}[/tex]

                                    = 67.6 square units

52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer with a yes or no for EACH one
HELP

Answers

Answer:

7 -  Yes

4 - Yes

13 - No

9 - No

Step-by-step explanation:

43 + 7 = 50

52 > 50

43 + 4 = 47

52 > 47

43 + 13 = 56

56 is not less than 52

43 + 9 = 52

52 = 52

Answer:

Substitute the numbers for w

Step-by-step explanation:

What must be added to 3x^3+x^2-22x+9 so that the result is exactly divisible by 3x^2+7x-6.​

Answers

Answer:

Step-by-step explanation:

30 POINTS!!!

If the measurements for a living room were 5 1/2 by 3 ft. If the scale is 1/2 ft = 2 1/2 meters. If carpet cost 1.50 per square foot, how much will it cost to cover the living room floor?

Answers

Answer:

fvbbbbb

Step-by-step explanation:

The lengths of leaves on a tree are normally distributed with a mean of 5.9 centimeters and a standard deviation of 0.8 centimeters.
What is length of a leaf on the tree with a z-score of 0.3?
Enter your answer, rounded to the nearest tenth.

cm =

Answers

Answer:

6.14 cm

Step-by-step explanation:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.3=\frac{x-5.9}{0.8}\\\\(0.3)(0.8)=x-5.9\\\\0.24+5.9=x\\\\6.14=x[/tex]

Quick
Check
Match the scenario to the probability of it occurring.
1/6
rolling a 3 on a number cube
1/3
flipping a coin to get tails up
spinning blue on a spinner with four
different colors in four equal parts
1/4
pulling a white marble froma bag of 2
white marbles and 4 red marbles
1/2

Answers

Answer:

1/6 ; 1/2 ; 1/4 ; 1/3

Step-by-step explanation:

Rolling 3 on a number cube ;

Required =1 ; number if faces on a number cube = 6

P = 1/6

Flipping a coin to get tail up = 1/2

Number of faces on a coin = 2

P = 1 / 2

spinning blue on a spinner with four different colors in four equal parts = 1/4

Total possible outcomes = 4

P = 1 / 4

pulling a white marble froma bag of 2 white marbles and 4 red marbles

Total number of marbles = (2 + 4) = 6

Number of white marbles = 2

P = 2 / 6 = 1 /3

A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.

Part A
What is her new rate?
Answer $ _____ per lawn

Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn

Answers

Answer:

Rate when price rises 20% = $36

Rate when price downs 20% = $24

Step-by-step explanation:

Given:

Current rate to mow = $30 per lawn

Find:

Rate when price rises 20%

Rate when price downs 20%

Computation:

Rate when price rises 20%

Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]

Rate when price rises 20% = 30 + 20%[30]

Rate when price rises 20% = 30 + 6

Rate when price rises 20% = $36

Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]

Rate when price downs 20% = 30 - 20%[30]

Rate when price downs 20% = 30 - 6

Rate when price downs 20% = $24

Mona's new bicycle weighs 1812 pounds.

Weight Equivalent

1 kg = 2.2 pounds

Using the table above, about how many kg does her bike weigh?

A
8

B
16

C
41

D
84

Answers

answer

B.16PO _^^ PLSPLS

18 different rides. cost 1.75 the function c(R)=1.75

Answers

Answer:

Step-by-step explanation:

Domain= [0,18], Range = [0,31.50]

If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]

Does anyone know how to solve this?

Answers

Answer:

the answer for first question is $112.

the answer for second question is 16 trips.

Step-by-step explanation:

Hope it helps you!!

Step-by-step explanation:

a) 224-14(8)=224-112=112dollars

b) 112 divided by 14=8trips

HELP ME ASAP HELP ME ASAP HELP ME ASAP

Answers

Answer:

First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).

Then go up 2 points and to the right 3 points and plot a point there. (3,3)

We go to the right because the slope is positive.

Draw a line through the two points.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate

Answers

On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

what is frequency distribution?

In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,

stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?

12x - 2/3 = 83 1/3
Can you please help me solve to find X?

Answers

let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators

[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]

Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi

Answers

The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.

What is the function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given:

f(x)=√x - 2 + 3.

The inverse function can be found as shown below,

f⁻(x) = √(y - 2) + 3  (Replace x by y)

x = √(y - 2) + 3

solve the equation as shown below,

x - 3 = √(y - 2)

Squaring both sides,

(x - 3)² = [√(y - 2)]²

x² + 9 - 6x = y - 2

x² + 9 - 6x + 2 = y

y = x² - 6x + 11 or y = (x - 3)² + 2

Thus, the inverse of the function is  (x - 3)² + 2.

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