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).
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:
0.3575
0.405
Step-by-step explanation:
Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?
Answer:
Marcus has 24 pens while Bryan has 12 pens.
Step-by-step explanation:
Let u rep 1 unit.
Marcus = 2u
Bryan = u
2u+u=36
3u=36
u=36÷3
=12
No. of pens Marcus has
= 2u
= 2×12
= 24
No. of pens Bryan has
= u
= 12
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
What is the length of EF in the right triangle below?
Answer:
A.24
Step-by-step explanation:
EF=√(25)²-(7)²
EF=√625-49
EF=√576=24
please help me, please and thank youuu! :D
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2 , then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
What is the answer to -6n^2 - 5n - 7 = -8
Answer:
n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]
WHICH PROPERTY IS BEING USED IN THE FOLLOWING?
15 × 1 = 15
Answer:
This is the Idenity Property
Step-by-step explanation:
The Identity Property for multiplication states that anything times 1 is the same number.
3x1=3, and 8192x1=8192 (Do you play 2048?)
The zero property: Anything multiplied by zero is zero.
1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.
The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.
(6 x 7) x 78 is the same as 6 x (7 x 78)
The commutative property: When you switch the order of numbers, you get the same answer.
256 x 32 is the same as 32 x 256
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15 . (1 point)
quantity of x squared plus 21 over 3
quantity of x squared plus 11 over 3
quantity x plus 7 over 3
quantity of x plus 5 over 3
Answer:
(c) (x +7)/3
Step-by-step explanation:
Factor each expression and cancel common factors.
[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]
Answer:
C
Step-by-step explanation:
passed the quiz
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.
x=hours
7.5=2.5x
3=x
x=3
3 hours until the power was restored
Find two numbers that round to 387.4 when rounded to the nearest tenth.
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.
Answer:
Its answer is 32.33
Step-by-step explanation:
please help me with this question.
Answer:
Exact Form: 309/25
Mixed Form: 12 and 9/25
Step-by-step explanation:
Which relation is a function?
Answer:
only the v-shaped graph is a function
Step-by-step explanation:
the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point
a farm has chickens and cows all the cows have 4 legs and all chickens have 2 legs. altogether there are 82 cow and chicken legs on the farm.complete the table to show some possible combinations of chickens and cows to get 82 total legs.
mark me brinilylist pls
PLS HELP TY!!
Two functions, function A and function B, are shown below:
Function A
x y
7 14
8 16
9 18
Function B The first quadrant of a coordinate grid is shown from 0 to positive 8 on both axes at intervals of 1. The title is Function B. Only the even numbers are shown on the scale. A line is drawn by connecting the points on ordered pairs 1, 3 and 2, 6 and 3, 9.
Which statement best compares the rate of change of the two functions? (1 point) The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B. The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function B is greater than the rate of change of function A
y=-2x-3
y=2x-1
y=x+ 4
y=-x+ 2
y=-2x-3
y= x+ 4
y=2x-1
y=-x+ 2
match with WXYZ
Step-by-step explanation:
I don't understand. what are W, C, Y, Z ?
all I can do is solving the 4 systems of equations for x and y.
y = -2x - 3
y = 2x - 1
adding the equations
2y = 0 - 4 = -4
y = -2
-2 = 2x - 1
-1 = 2x
x = -1/2
y = x + 4
y = -x + 2
adding the equations
2y = 0 + 6 = 6
y = 3
3 = x + 4
x = -1
y = -2x + 3
y = x + 4
multiply second equation by 2, add the result to first
2y = 2x + 8
3y = 0 + 11 = 11
y = 11/3
11/3 = x + 4 = x + 12/3
x = -1/3
y = 2x - 1
y = -x + 2
multiply second equation by 2, add the result to first
2y = -2x + 4
3y = 0 + 3 = 3
y = 1
1 = -x + 2
-1 = -x
x = 1
Three consecutive integers add up to 30. Which integers are they?
Answer:
30 31 33 are the three integer consective
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
https://brainly.com/question/23613815?referrer
One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
I need to know if they are simular or not, i also need an explanation
Answer:
Step-by-step explanation:
11
Pls help pls help it’s my last question
Answer:
5
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation:
Giving brainliesttttttt
Answer:
I think it is the line D as a thought
What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?
Answer:
30
Step-by-step explanation:
help me divide me 1/4 divided my three
Answer:
1/12
Step-by-step explanation:
1/4 divide by three= 1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Explanation: In order to divide fractions, you must follow these 3 simple steps:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal.
Step 3. Simplify the fraction (if needed).
help pls !! i am confused
1.
2.
3.
4.
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation: