Considering the definition of probability, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Definition of probabilityProbability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.
Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:
P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)
Probability in this caseIn this case, you know:
Number of action films= 3 filmsNumber of comedy films= 3 filmsTotal number of films = 6 filmsThe probability that the first movie selected is an comedy movie and the second movie is a action film.
Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.
Then, the probabilty can be calculated A:
Probability= [tex]\frac{3}{6}[/tex]× [tex]\frac{3}{5}[/tex]
Probability= 0.3= 30%
Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
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The equation of a straight line is given a x = 2y - 1 Write the equation in the form y = mx + c
Answer:
2y = x - 1
Step-by-step explanation:
y = 2y
mx = x
c = -1
(please help will give brainlyest)
enter the lowest whole number in the numerator to make the comparison ?/7 > 1/2 true.
14/7 is greater than 1/2
Sure hope this helps you
Problema 2 (Reto) Considera que Nueva York y Londres están ubicadas a la misma latitud. Utilizando la información del radio de la tierra y lo aprendido hasta ahora, calcula distancia aproximada que separa las dos ciudades, especificando cada uno de los razonamientos seguidos en tu estrategia de solución.
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
Cómo se estima la distancia entre dos ciudades
En esta pregunta asumimos que la Tierra tiene una geometría esférica, de modo que los cálculos de arcos circulares se pueden obtener de manera simple y ágil. Por otra parte, también asumimos que las que la ciudad de Londres se encuentra a la misma latitud que la ciudad de Nueva York.
Es posible determinar la distancia estimada mediante la siguiente ecuación de arco circular:
s = [(θ' - θ) · π/180] · R · cos α (1)
Where:
θ' - Longitud de la ciudad de Londres, grados.θ - Longitud de la ciudad de Nueva York, en grados.α - Latitud de la ciudad de Nueva York, en grados.R - Radio ecuatorial de la Tierra, en kilómetros.Si sabemos que θ' = 7°, θ = - 73°, α = 40° y R = 6371 km, entonces la distancia estimada entre la ciudades de Nueva York y Londres es:
s = [(7+73)/180] · π · (6371 · cos 40°)
s ≈ 6814.420 km
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
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Mr. Brown took his class to see a play. Each student ticket was $3.00. Each adult ticket was $5.00. The class spent a total of $190 on tickets. Write an equation in standard form to represent this situation.
Help with this application of surface area and volume problem? i will reward brainly, this is 10th grade geometry! Any help appreciated! I am really struggling
Answer: 20.4
Step-by-step explanation:
Rob owns stock in dowc beverage co. and agram imports. he owns 86 more shares of agram imports, which pays a dividend of $5.15 per share, than he does of dowc beverage co., which pays $6.52 per share. if rob receives $4,585.15 in dividends annually, how many shares of agram imports does he own? a. 535 shares b. 635 shares c. 398 shares d. 441 shares
If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
What is a dividend?A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.
Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.
Data and Calculations:Dowc Beverage Co. Agram Imports
Dividend per share $6.52 $5.15
Number of shares x x+ 86
Number of shares 355 (441 - 86) 441 (355 + 86)
Total dividend received $2,314.60 ($4,585.75 - $2,271.15)) $2,271.15
which is equivalent to $2,314.60 ($355 x $6.52)
Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.
Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
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Find the vertex. f(x) = 9x2 + 1
Answer:
vertex = (0, 1 )
Step-by-step explanation:
f(x) = 9x² + 1 ← has it's vertex on the y- axis
let x = 0 in f(x)
f(0) = 9(0)² + 1 = 0 + 1 = 1
vertex = (0, 1 )
We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $2, 600 and σ = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?a. State A because the sample represents a larger segment of this small population. b. State B because there is less variability in larger populations so estimates from samples are more accurate. c. Equally likely because σ = $800 for both states.
Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:
c. Equally likely because σ = $800 for both states.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that for both states, [tex]\sigma = 800, n = 100[/tex], hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.
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3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
Answer:
6
Step-by-step explanation:
g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.
Let's find the value of f(0).
f(x)= x²
f(0)= 0²
f(0)= 0
Now, we can find the value of g(f(0)).
g(x)= x +6
g(f(0))
= g(0)
= 0 +6
= 6
PLEASE HELP ILL MARK BRAINEST!!!!
Answer:
(-3,8) would NOT fit the table.
Answer: (-3,8)
Step-by-step explanation: click on the file
y=8x+7 and -8x+y=7 solve algebretically
Answer:
infinitely many solution
Step-by-step explanation:
-8x + 8x + 7 = 7
7 = 7
Keyshawn buys 100 baseball cards to start a collection. He purchases 25 more baseball cards
each week. Which equation could be used to represent the number of baseball cards (b) in
Keyshawn's collection after w weeks?
A. w = 25b + 100
B. w = 100b+25
C. b = 25w + 100
D. b = 100w + 25
Answer:
C. b = 25w + 100
Step-by-step explanation:
Keyshawn starts off with 100 baseball cards. Each week he buys 25 more baseball cards. Given this we want to find an equation that would represent the number of baseball cards (represented by "b") he would have after a number of weeks (represented by "w")
We know that keyshawn buys 25 baseball cards weekly so the number of baseball cards purchased after w weeks can be represented by 25w.
We also know that he started of with 100 baseball cards so the total amount of baseball cards keyshawn has (b) can be represented by the expression b = 25w + 100
bag contains eight red marbles and
seven blue marbles. You randomly pick a
marble and then pick a second marble
without returning the marbles to the bag.
The first marble is red and the second
marble is blue.
The probability of getting first marble is red and the second
marble is blue is 4/15.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.
Given that:
Number of red marbles= 8
Number of blue marbles= 7
Total Number of marbles= 8+7 = 15 marbles.
P(red Marble) =[tex]\frac{8}{15}[/tex]
No replacement, now the total marbles = 14
P( blue marbles) = 7/14
Now, P( first marble is red and the second marble is blue.)
= 8/15*7/14
= 4/15
Hence, the probability of getting first marble is red and the second
marble is blue is 4/15.
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Consider the system of equations. 3x + 2y = 16, x + y = 4 Which numerical values could you multiply the second equation by to eliminate a variable? Select all that apply. 2 -2 03 D-3 34 -4
Answer:
-2 and -3
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
how to make a decimal into a fraction
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
find the value of x.
Answer:
74 I believe
180 - 32 = 148
148/2 = 74
Hope this helps!
Answer:
[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]
GIVING BRAINLIEST!!!!!
plane PBC is right answer.
it's a logical answer....
Answer:
Plane PBC
Step-by-step explanation:
Plane PBC contains 4 points : P, B, C, and Q.
The question asks which contains all three of C, Q, and P.
The plane is Plane PBCA point T divides a line AB internally in the ratio5:2 .Given that A is (-4,10) and B is (10,3) , find the coordinates of T
Answer:
T(6,5)
Step-by-step explanation:
Solution,
Let the coordinate of T be T(a,b), where T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3).
From the section formula,
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Let,
(x,y)=(a,b)
(x₁,y₁)=(-4,10)
(x₂,y₂)=(10,3)
m₁:m₂=5:2
Now substitute the values.
[tex]\hookrightarrow x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\\\\\hookrightarrow a=\frac{5\times10+2\times(-4)}{5+2},b=\frac{5\times3+2\times10}{5+2}\\\\\hookrightarrow a=\frac{42}{7},\: b=\frac{35}{7}\\\\\hookrightarrow a=6, \:b=5[/tex]
Does anybody know this? Need it done soon. Find the surface area. Use 3.14 for pi. Do not round your answer
Answer:
113.04 yd²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is:
2πrh+2πr² r = radius, h=height
The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.
2πrh+2πr²
2(3.14)(2)(7) + 2(3.14)(2)^2
= 113.04 yd²
Which number sentence is represented by this model?
Answer:
Correct answer is B. -3 • 5 = - 15
find the solution to the system of equations. Y=2x+2
Answer:
[tex](0, 2)[/tex]
Step-by-step explanation:
From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)
Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]
A paint roller is 12 inches long and has a radius of 3/4 inch. what is its lateral area?
Answer: The answer is [tex]16[/tex], You need to reduce the expression, if possible, by canceling the common factors. Then its lateral area of 12 inches and the radius of 3/4 inches would be 16.
Therefore your answer would be [tex]16[/tex].
Based on the concrete of the lateral area and the content of the question, the right answer is 18π
What is the lateral area?The lateral area is the term that is used to describe the surface of an object as all of the sides of the object, excluding its base and top. Generally, the term lateral area is different from the surface area, which is the lateral surface area together with the areas of the base and top.
Hence, in this case, to calculate the lateral area of the paint roller, find the circumference of the roller and multiply it by its length.
The circumference of a circle can be found using the formula: C = 2πr where r is the radius.
Given that the roller has a radius of 3/4 inch let's substitute this value into the formula to find the circumference:
C = 2π(3/4)
C = 6π/4
C = 3π/2
Now we have the circumference of the roller.
To find the lateral area we multiply the circumference by the length of the roller which is 12 inches:
Lateral Area = Circumference x Length
Lateral Area = 3π/2 x 12
Lateral Area = 36π/2
Lateral Area = 18π
Therefore, in this case, it is concluded that the lateral area of the paint roller is 18π square inches.
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The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.
What is the area of the base of the prism?
A) 3 1/3 cm²
B) 5 1/4 cm²
C) 9 3/4 cm²
D) I don't know
Answer:
C
Step-by-step explanation:
To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.
On average how far from the mean age is each player?
The mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The data of the age of the player is,
18,19,20,21,21,21
The number of player are 6. Thus, the mean of the data is,
Mean=(18+19+20+21+21+21)/6
Mean=20
The distance form mean 20 of each player age is, 2,1,0,1,1,1. The mean deviation is,
Mean Deviation= (2+1+0+1+1+1)/6
Mean Deviation=1
Thus, the mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
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The number of 22 cent stamps, n, can be found by solving the equation: 22n + 17(20 − n) = 400
How many 22 cent stamps are in the book?
Answer:
12
Step-by-step explanation:
22n + 17(20 - n) = 400 ← distribute parenthesis and simplify left side
22n + 340 - 17n = 400
5n + 340 = 400 ( subtract 340 from both sides )
5n = 60 ( divide both sides by 5 )
n = 12
there are 12, 22 cent stamps in the book
pls help in geometry
Answer:
58.5; 300; 196.5
Step-by-step explanation:
Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2
Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2
Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2
1-Find the measure of
1. 226 degrees
2. 113 degrees
3. 134 degrees
4. 67 degrees
2-Find the circumference of the circle 7 cm. Use 3.14 for pi.
1. 21.98 cm
2. 38 cm
3. 3.5 cm
4. 7 cm
3-Classify the triangle by its sides and angles: 15.5 in, 15.5 in and 15.5 in.
1. Scalene, right
2. Equilateral, right
3. Equilateral, acute
4. Isosceles, acute
4-What are the coordinates of the image of point L(4,2) after a reflection over the line y = -1.
1. (-5,2)
2. (4,-4)
3. (3,1)
4. (4,-2)
5-A point P has coordinates (3.2). What are it’s new coordinates after reflecting point P over the y-axis.
1. (-3,-2)
2. (3,-2)
3. (3,2)
4. (-3,2)
A linear pair must add up to 180 degrees is true or false?
Answer:
true
Step-by-step explanation:
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long, and the bottom of the triangle is longer than the two sides. what is the length of the longest side?
the length of the longest slide is inches. the other two sides will each be
inches in length.
The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
Length of the longest slideIsosceles triangle
Given:
Total length=13 inches
Hence:
AC=BC<AB
Let AC=BC=x-1 inches
AB=x inches
Thus:
x-1+(x-1)+x=13
3x-2=13
3x=13+2
3x=15
divide both side by 3x
x=15/3
x=5 inches
Hence:
Other two side
x-1=5-1=4 inches
Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
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Answer:
4 in
Step-by-step explanation:
I Just Took the Test.
offering tons of points and brainliest for the right answer!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answer:
16 mph
Step-by-step explanation:
You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.
TimeThe relation between time, speed, and distance is ...
t = d/s
If we let b represent the boat speed, the two identical times give the relation ...
28/(b -2) = 36/(b +2)
Solution28(b +2) = 36(b -2) . . . . cross multiply
28b +56 = 36b -72 . . . . eliminate parentheses
128 = 8b . . . . . . . . . . . . add 72 -28b
16 = b . . . . . . . . . . . . divide by 8
The speed of the boat is 16 mph.
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