An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
A 4-column table with 4 rows. The columns are labeled age bracket and the rows are labeled type of movie. Column 1 has entries cartoon, action, horror, comedy. Column 2 is labeled children with entries 50, 22, 2, 24. Column 3 is labeled teens with entries 10, 45, 40, 64. Column 4 is labeled adults with entries 2, 48, 19, 74.
Suppose we randomly select one of these survey participants. Let C be the event that the participant is an adult. Let D be the event that the participant prefers comedies.
Complete the statements.
P(C ∩ D) =
P(C ∪ D) =
The probability that a randomly selected participant is an adult prefers comedies is symbolized by P(C ∩ D).

An Analyst Surveyed The Movie Preferences Of Moviegoers Of Different Ages. Here Are The Results About

Answers

Answer 1

Using it's concept, it is found that the probabilities are given as follows:

P(C ∩ D) = 0.185.P(C ∪ D) = 0.5775.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 400 moviegoers.

From the table, 74 are adults who prefer comedies, hence:

P(C ∩ D) = 74/400 = 0.185.

2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:

P(C ∪ D) = (143 + 88)/400 = 0.5775.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer 2

Answer:

0.3575

0.405

Step-by-step explanation:


Related Questions

How far will the snail be from the rock after 9 minutes?

Answers

Answer:

27 inches <3

Step-by-step explanation:

find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0

Answers

I hope this helps.

Answer:-

   ∴x−3y−4z=0

Explanation:

First we rearrange the equation of the surface into the form f(x,y,z)=0

   x2+2z2=y2

   ∴x2−y2+2z2=0

And so we have our function:

   f(x,y,z)=x2−y2+2z2

In order to find the normal at any particular point in vector space we use the Del, or gradient operator:

   ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk

remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:

   ∇f=(∂∂x(x2−y2+2z2))ˆi+

                    (∂∂y(x2−y2+2z2))ˆj+

                    (∂∂z(x2−y2+2z2))ˆk

      =2xˆi−2yˆj+4zˆk

So for the particular point (1,3,−2) the normal vector to the surface is given by:

   ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk

So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:

   →r⋅→n=→a⋅→n

Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane

Hence, the tangent plane equation is:

   ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠

   ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)

   ∴2x−6y−8z=2−18+16

   ∴2x−6y−8z=0

   ∴x−3y−4z=0

Help me please 13x55x10

Answers

The answer is 7,150.


Which graph represents a function?

Answers

Answer: B

Step-by-step explanation:

simplify this equation

Answers

Answer: 3x/(x-3)(x+1)

Angelo has to pack 7 books in boxes he can pack 7 books in each box how many boxes are need to pack all the books

Answers

1 box?

I'm confused whether you made a mistake writing the question or of this is what the actual question is like.

Mr. Ivey teaches dance at the middle school. His classes are 90 minutes long, and he spend 94% of class time teaching strength and conditioning. How many minutes do Mr. Ivey’s students spend on strength and conditioning in each class? | please give me the answer in a step by step explanation|

Answers

Answer: 84.6

Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%

Calculate the product or quotient: 84.6

get the result: 84.6

Hopefully that helps you! :)

Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?

Answers

Answer: 6

As your figure is a square all sides must be the same so it would be 6 squared which comes out to 36

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2  

36 + 36 = c^2

72 = c^2  

√72 = c    

6√2 = c  

6√2 = V

(Estimate rounded = 8.49)

Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10

6. Complete the table, then use the table to create ordered pairs.

7. Graph the sequence using the ordered pairs.

Answers

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Write ratios in the form 1:n or n:1 6 : 14

Answers

Answer:

3/7 : 1 OR 1 : 7/3

Step-by-step explanation:

You can set up ratios as a fraction and solve for the missing piece. See images.

Answer:

1 : 2.33 aka 1: 2 1/3

Step-by-step explanation:

1) 6 : 14

2) divide both sides by 6

6/6=1

14/6=2 1/3

3) 1 : 2 1/3

Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25

Answers

Answer:

B. x^2 - 10x + 25

Step-by-step explanation:

(x - 5)^2

(x - 5)(x - 5)

x^2 - 5x - 5x + 25

x^2 - 10x + 25

30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?

Answers

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

If I have a discriminate value of -3, how many solutions and what type will I have?

Answers

Answer:

0

Step-by-step explanation:

If b^2 - 4ac is less than 0, it will not have any real roots/solutions so you would not get any solutions in this case.

find mLABC
is from Big Ideas

Answers

Answer: 50

Step-by-step explanation: add DBC and ABD to get 50 ABC is 50

Michele
wants to save $150 for a trip to the Sox Flags amusement park. she saves $12 each week, how
weeks will it take her to save enough money for the tri?

Answers

Answer:

Twelve and a half weeks

Step-by-step explanation:

Answer:

12 and a half weeks

Step-by-step explanation:

150/12=12 and a half since she takes 7 days to earn 12 dollars, 12x12 and 1/2=150

write the ratio as a fraction in simple form 14 boxes:8 boxes​

Answers

The ratio in its simplest form is 7:4

Cost to store is $32, Markup 3%, what's the selling price, what is answer?

Answers

Answer:

the answer to this question is $32.96

What is an equivalent expression to 7x - 3y + 8x ?

Answers

Answer:

15x-3y

Step-by-step explanation:

Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.

3. If the diameter of “Frosty the Snowman’s” hat is ten inches, what’s the radius?

Answers

The radius is 5 inches

To make a certain shade of paint, Anya mixed 2/3
cups of white paint with 2 and 2/3
cups of blue paint.

How many cups of blue paint should she mix with 3/4
cups of white paint to make the same shade?

Answers

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

Find the zeros of this polynomial:

p(x)= (x²+4x+3)(x²-4)

Answers

Answer:  -3, -2, -1, 2

====================================================

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

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

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

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

In total, the four roots are:

x = -3x = -2x = -1x = 2

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

pls answer
a line has a slope of 19/9 and passes through the point (0,15). what is its equation in slope-intercept form?

Answers

Hey there!

We are given the slope of the line: 19/9.We are also given one of the points that the line passes through.Using this information, we can find the equation of the line.First, let's recall the Point-Slope formula:y-y1=m(x-x1)Plug in the given values:y-15=19/9(x-0)y-15=19/9xy=19/9x+15Therefore, the equation is: [tex]y=\frac{19}{9} x+15[/tex] :)

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A girl who helps others with a smile

#LetItSnow

Good luck.

What is the final amount if 700 is increased by 4% followed by a further 3% increase?

Answers

Answer:

Answer: 749.84

Step-by-step explanation:

• For 4% increment

[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]

• For the 3% increment

[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]

need help asap plz help

Answers

Number three is D and number 4 is also D.

Explanation for number three:

When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40

Explanation for number 4:

In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.

PLS HELP ME I'M SO CONFUSED!!!!!!

Answers

Answer:

a = -3, b = 2.5, c = - 1/2

Step-by-step explanation:

1)

[tex]3^a=1/27[/tex][tex]3^a=1/3^3[/tex][tex]3^a=3^{-3}[/tex][tex]a=-3[/tex]

2)

[tex]3^b=9\sqrt{3}[/tex][tex]3^b=3^2*3^{1/2}[/tex][tex]3^b=3^{2+1/2}[/tex][tex]3^b=3^{2.5}[/tex][tex]b=2.5[/tex]

3)

[tex]3^c=1/\sqrt{3}[/tex][tex]3^c=1/3^{1/2}[/tex][tex]3^c=3^{-1/2}[/tex][tex]c = - 1/2[/tex]

What is the opposite number of -5.23

Answers

opposite of -5.23 should be 5.23

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

find the volume of this figure:

Answers

i believe it’s 103.32
103.32 is the answer im sure

ok the other one did not work so what 10 + 10 × 10 + 10 ÷ 10

Answers

Answer:

111

Step-by-step explanation:

it is correct 10 + 10 × 10 + 10 ÷ 10= 111

mark as brainliest

What are the slope and y-intercept of this function?

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The Correct choice is D

Consider two points (0 , 3) and (2 , -1), now let's find the slope ~

[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

[tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex]

[tex] \sf \dfrac{4}{ - 2} [/tex]

[tex] \sf - 2[/tex]

And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.

that is ~

[tex] \sf(0 ,3)[/tex]

Please help me
I such at geometry

Answers

Middle I think but me too man I suck too
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