Answer:
a. 0.36 = 36% probability that a movie is either a comedy or produced by Warner Bros.
b. 0.2308 = 23.08% probability that a Warner Bros movie is a comedy
c. 0.1154 = 11.54% probability that a comedy has Warner Bros as its producer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that a movie is either a comedy or produced by Warner Bros?
We solve this question treating these events as Venn sets.
I am going to say that:
Set A: Movie is a comedy.
Set B: Movie is produced by Warner Bros.
26% of movies coming out of Hollywood are comedies
This means that[tex]P(A) = 0.26[/tex]
Warner Bros has been the lead studio for about 13% of recent movies
This means that [tex]P(B) = 0.13[/tex]
3% of recent movies are comedies from Warner Bros.
This means that [tex]P(A \cap B) = 0.03[/tex]
The desired probability is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.26 + 0.13 - 0.03 = 0.36[/tex]
0.36 = 36% probability that a movie is either a comedy or produced by Warner Bros.
b. What is the probability that a Warner Bros movie is a comedy?
Conditional probability, in which
Event A: Produced by Warner Bros
Event B: Comedy
Warner Bros has been the lead studio for about 13% of recent movies
This means that [tex]P(A) = 0.13[/tex]
3% of recent movies are comedies from Warner Bros.
This means that [tex]P(A \cap B) = 0.03[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.03}{0.13} = 0.2308[/tex]
0.2308 = 23.08% probability that a Warner Bros movie is a comedy.
c. What is the probability that a comedy has Warner Bros as its producer?
Now,
Event A: Comedy
Event B: Warner Bros as its producer.
About 26% of movies coming out of Hollywood are comedies
This means that [tex]P(A) = 0.26[/tex]
3% of recent movies are comedies from Warner Bros.
This means that [tex]P(A \cap B) = 0.03[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.03}{0.26} = 0.1154[/tex]
0.1154 = 11.54% probability that a comedy has Warner Bros as its producer
Please help and explain, I’ll mark you as brainiest
Answer: (c)
Step-by-step explanation:
Given
The sticker price is $40,000
The option price is $6000
Destination fees are $800
The base sticker price is 90% of the price i.e.
[tex]\Rightarrow 90\%\times 40,000\\\Rightarrow 0.9\times 40,000\\\Rightarrow \$36,000[/tex]
The option price is 80% of included options i.e.
[tex]\Rightarrow 80\%\times 6000\\\Rightarrow 0.8\times 6000\\\Rightarrow \$4800[/tex]
Dealers cost is given by the sum of three costs
[tex]\Rightarrow 36000+4800+800\\\Rightarrow \$41,600[/tex]
Thus, option c is correct.
Graph the line has a slope of 1/4 and includes the point (-2,0)
What is the mean of 9, 25, and 53?
3
9
25
29
Answer:
29
Step-by-step explanation:
9 + 25 + 53
87
87 ÷ 3
29
Answer:
29
Step-by-step explanation:
add all the numbers up and divide by how many numbers there are.
can u please help me
Answer:
a) 0.15
b) 0.45
c) 0.16
Step-by-step explanation:
a)
The total probability will add up to 1, so the probability of getting a rat = 1 - 0.35 - 0.4 - 0.1 = 0.15
b)
Probability of cat: 0.35
Probability of hamster: 0.1
Probability of cat or hamster: 0.35+0.1 = 0.45
c)
The probability for getting card out of deck 1: 0.4
The probability for getting card out of deck 1: 0.4
Probability of both: 0.4*0.4 = 0.16
Enter an equation that represents the data in the table.
x 3 5 8 10
y 15 25 40 50
An equation is y
Answer:
y=5x
Step-by-step explanation:
3 x 5
5 x 5 and so forth
What would the answer be for this equation? 3a^3b^2x2a^2b^5
9514 1404 393
Answer:
6a^5b^7
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
It looks like you want to simplify ...
[tex]3a^3b^2\times 2a^2b^5=(3\cdot2)a^{3+2}b^{2+5}=\boxed{6a^5b^7}[/tex]
Answer:
6a^5b^7
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
can someone help me with this?!!
Answer:
Slope: -2, y-intercept: -8
Step-by-step explanation:
y = mx + b
m is slope. Subtraction sign means negative slope.
b is y-intercept
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?
5
10
25
625
The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.
Surface area of a rectangular prismThe surface area of a rectangular prism is as follows;
surface area = lwh
where
l = lengthw = widthh = heightTherefore,
surface area of the first prism = 8 ft²
surface area of the second prism = 200 ft²
Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;
200 / 8 = 25
learn more on surface area here: https://brainly.com/question/2835293
#SPJ2
25, I got it right on my lesson... The other person is correct!!!!!!!
Lowest common multiple for 3ab; 6b2; 7a3b
Answer:
L.C.M = 2 × 7 = 14
Step-by-step explanation:
3ab = 3 × a × b
6b² = 2 × 3 × b × b
7a³b = 7 × a × a × a × b
L.C.M = 2 × 7 = 14
Thus, Lowest common multiple for 3ab; 6b²; 7a³b is 14
-TheUnknownScientist
what is the probability
Answer:
Probability in Maths:-
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
Formula for Probability:-
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes
Probability refers to a possibility that deals with the occurrence of random events also can be state as all the events occurring need to be 1.
What is the Probability in Maths?Probability means possibility. This is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.It has been introduced in Maths to predict how likely events are to happen.
Formula for Probability:-
This can be defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Here Probability of event to happen can be written as;
P(E) = Number of favourable outcomes/Total Number of outcomes
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
Is this 40%? If not, what's the answer? Thanks!
Answer:
It is!
Hope this Helps!
ILL GIVE BRAINLIST I ONLY HAVE 1O MINUTES
Describe how changing each part of y=a/x−b+c changes the graph
a:
b:
c:
Answer:
Step-by-step explanation:
I am sorry that I might not be able help you, just try and sound smart while saying if u change a then the value of a/x would change, thus changing everything because the fraction in which you are using in this situation would be different. And for b be like the difference between the numbers would be different and c the product. Idek if this is what the question is asking. lol
The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the second number is 19. Find the numbers.
What is y intercept of the equation y - 3 = 4(x-0)?
Answer:
3
Step-by-step explanation:
Given
y - 3 = 4(x - 0)
y - 3 = 4x
y = 4x + 3
Comparing with y = mx + c
we get
y-intercept (c) = 3
hope it will help :)
What are the solutions to the equation x2 + bx+c=0?
Answer:
Find the complex solutions using the quadratic formula.
x
=
−
b
−
√
b
2
−
4
c
2
x
=
−
b
+
√
b
2
−
4
c
2
Step-by-step explanation:
What is the interval of convergence for the power series the summation from n equals 1 to infinity of the product of negative n factorial and x to the nth power
Answer:
∞ and n = 1
Step-by-step explanation:
The interval of convergence for the power series :
= ∞ and n = 1
summation of the product of negative n factorial and x^n = ∑ -n! * xⁿ
Interval : ∞ , n = 1
And the test that can be carried out here to test for the convergence or divergence of the power series is called Integral test
The family is having grilled steak for dinner. Ian gets a 7-ounce steak. He eats 1/2 of it. How many ounces of steak does he eat?
Answer:
3.5 ounces
Step-by-step explanation:
5
Select ALL the correct answers.
Select all the statements that are true for the following systems of equations.
System A
2x - 3y = 4
4x - y = 18
System B
3x - 4y= 5
y = 5x + 3
System C
2x - 3y = 4
12x - 3y = 54
Systems A and C have the same solution.
Systems A and B have different solutions.
ООООО
Systems B and C have the same solution.
System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three.
All three systems have different solutions
Reset
Next
Answer:
I didnt get all of them but A and C are the same and A and B are different
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEE
Answer:
12
Step-by-step explanation:
12-8=4
p=12
Answer:
p is equal ro 12
Step-by-step explanation:
4=p-8
add 8 to both sides and you get 12=p
I need help please ASAP
H. 200 miles in 4 hours
represents a constant rate of change of 50 miles per hour.
Answer:
H. 200 miles in 4 hours.
Step-by-step explanation:
200 miles in 4 hours.
In this situation, in 4 hours, the vehicle has driven a distance of 200 miles.
To determine the distance in one hour, divide the miles by the hour.
200 ÷ 4 = 50.
The vehicle drives at a constant rate of 50 miles per hour.
Arielle has $60 in her wallet. She only has $10 bills. Which equation can be used to find the number of $10 bills, Arielle has?
A. 10 + b = 60
B. 10 • b = 60
C. 10 + 60 = b
D. 60b = 10
Answer:
b
Step-by-step explanation:
10x6=60
<3
Answer:
The answer is B.
Can someone please simplify 1.50 for me please
Answer:
1
Step-by-step explanation:
1.5^0 = 1
Any number to the zero power is equal to 1
Answer:
50 is already in the simplest form
Step-by-step explanation:
Steps to simplifying fractions
Divide both the numerator and denominator by the GCD
1 ÷ 1
50 ÷ 1
Reduced fraction:
1
50
Therefore, 1/50 simplified to lowest terms is 1/50.
32% of what number is 8
Answer:
25
Step-by-step explanation:
x= the number
(32/100)*x=8
x=8*(100/32)
x=25
Convert 49° Celsius to degrees Fahrenheit using the following formula: F = {C+32 O A. 506.5°F OB. 196.2°F C. 94.6°F OD. 2237°F O E. 120.2°F
Answer:
Step-by-step explanation:
F = 9/5C + 32
Putting value
9/5(49) + 32
88.2 + 32
= 120.2°F
Option E is the correct answer
The Celsius temperature 49 in Fahrenheit is 120 F.
To convert Celsius to Fahrenheit, you can use the formula:
F = (C × 9/5) + 32
Let's calculate the conversion using the given Celsius value:
C = Celsius temperature
F = (C × 9/5) + 32
F= (49 x 9/5)+ 32
F= 88.2 + 32
F = 120.2 F
Thus, Celsius temperature 49 in Fahrenheit is 120 F.
Learn more about Temperature Conversion here:
https://brainly.com/question/15016292
#SPJ6
A rectangular shape of dimension 95m by 75m is drawn to a scale of 1cm to 10m find the area
Answer:
71.25
Step-by-step explanation:
plz press thanks. thank you
FOUR balls are selected from a bag containing 15 red and 5 blue balls. What is the probability that:
(a) exactly 3 are red if the balls are replaced each time?
(b) exactly 3 are red if the balls are not replaced?
pedro's car averaged 957 miles on its 29-gallon tank of gas. If pedro runs out of gas and a mechanical comes to his rescue with 2 3/4 gallons of gas, determine how far his car can go. Round to the nearest
Answer:
His car can go 90.75 miles.
Step-by-step explanation:
We solve this question using proportions.
Pedro's car averaged 957 miles on its 29-gallon tank of gas.
This means that per gallon, his car can go:
957/29 = 33 miles.
2 3/4 gallons of gas
[tex]2 + \frac{3}{4} = 2 + 0.75 = 2.75[/tex] gallons.
Determine how far his car can go.
For each gallon, the car goes 33 miles. He has 2.75 gallons, so his car can go 33*2.75 = 90.75.
His car can go 90.75 miles.
Fully factories thus expression
4h + 12
Answer:
4(h+3)
Step-by-step explanation:
4h+12
Rewriting as
4h+4*3
Factor out the 4
4(h+3)
Answer:
4(h+3)
Step-by-step explanation:
PLEASE HELP. Consider the following equation -(3/2)^x +12=2x-3 Approximate the solution to the equation above using three iterations of successive approximation use the graph below as a starting point
Answer:
71/16
Step-by-step explanation:
I got it right on edmentum. Good luck with the rest of you quiz or test
Thank you top answer!
Help is need please???
Answer:
it expands 2230 people each year
Step-by-step explanation: