The cumulative probabilities for the winnings after one round of the game are: P(X ≤ 0) = 0, P(X ≤ 1) = P(X = 0) = 0.2,
P(X ≤ 2) = P(X = 0) + P(X = 1)
= 0.2 + 0.3 = 0.5,
P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 0.2 + 0.3 + 0.1 + 0.1 = 0.7
To find the cumulative probabilities for the winnings after one round of the game, we need to calculate the cumulative probability for each value of x.
Given the probability distribution:
x | $0 | $1 | $2 | $3 | $4
P(x) | p0 | p1 | p2 | p3 | p4
The cumulative probability for each value of x is the sum of the probabilities up to that point.
Let's calculate it:
For x = 0:
Cumulative Probability = P(X ≤ 0) = p0
For x = 1:
Cumulative Probability = P(X ≤ 1) = p0 + p1
For x = 2:
Cumulative Probability = P(X ≤ 2) = p0 + p1 + p2
For x = 4:
Cumulative Probability = P(X ≤ 4) = p0 + p1 + p2 + p3 + p4
Now, let's say the given probabilities are:
P(0) = 0.2
P(1) = 0.3
P(2) = 0.1
P(3) = 0.15
P(4) = 0.25
Using these probabilities, we can calculate the cumulative probabilities:
For x = 0:
Cumulative Probability = P(X ≤ 0) = 0.2
For x = 1:
Cumulative Probability = P(X ≤ 1) = 0.2 + 0.3 = 0.5
For x = 2:
Cumulative Probability = P(X ≤ 2) = 0.2 + 0.3 + 0.1 = 0.6
For x = 4:
Cumulative Probability = P(X ≤ 4) = 0.2 + 0.3 + 0.1 + 0.15 + 0.25 = 1.0
Therefore, the cumulative probabilities for the winnings are:
For x = 0: 0.2
For x = 1: 0.5
For x = 2: 0.6
For x = 4: 1.0
For similar question on cumulative probabilities.
https://brainly.com/question/27856123
#SPJ11
if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...
Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi
Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?
it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
Learn more about time here:
https://brainly.com/question/31732120
#SPJ11
carlos tiene 120 dolares, roxana tiene 200 dolares, claudina 180 dolares ; para viajar a ambato el pasaje cuesta 18 dolares ¿cuántos viaje de vueltas hay para viajar en el mundo? ayudenme plis unu es para mañana
The number of trips that can be taken based on the money than they have is 27 trips.
How to calculate the value?The amount that each person has is illustrated below:
Carlos = $120
Roxana = $200
Claudia = $180..
In order to travel around Ambato, $18 is needed. Therefore, the trips that can be taken will be:
= Total amount / Value for each trip
= ($120 + $200 + $180) / 18
= 500 / 18
= 27
There'll be 27 trips.
Learn more about money on:
brainly.com/question/24373500
#SPJ1
Which of the following is NOT a true statement?
1. Angle 1 and angle 5 are corresponding angles
2. Angles 2 and angle 7 are alternate interior angles
3. Angle 5 and angle 8 are vertical angles
4. Angle 3 and angle 7 are corresponding angles
Answer:
2. Angles 2 and angle 7 are alternate interior angles
Step-by-step explanation:
2. Angles 2 and angle 7 are NOT alternate interior angles.
Please answer this question now
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Find the y-intercept for the line represented by this equation.
3x + 2y = x + y
OA) (0,0)
B) (0, 3)
C) (3,0)
D) (0, 2)
Answer:
A) (0,0)
Step-by-step explanation:
1.) graph the equation, 3x+2y = x+y
2.) the line intersects (0,0) on the coordinate plane
find the ratio of 15 min and 1 hour
Answer:
1 : 4 minutes.
Step-by-step explanation:
Given: 15 minutes / 1 hour.
First convert 1 hour to minutes:
1 hour = 60 minutes
Then write the fraction:
15 : 60
Finally, simplify it:
1 : 4 minutes
Factorise the following
\(4 {a}^{2} v {}^{5} - 18av {}^{2} \)
The factors of the given expression are 2av² and (2av³-9).
The given expression is 4a²v⁵-18av².
The factors are the polynomials which are multiplied to produce the original polynomial.
2av²(2av³-9)
Therefore, the factors of the given expression are 2av² and (2av³-9).
To learn more about the factorisation of polynomial visit:
https://brainly.com/question/16789195.
#SPJ1
What is the range of the function graphed below?
Answer:
um function
Step-by-step explanation:
3rd
bubble
?
Work out the missing numbers:
Answer:
Step-by-step explanation:
1.-60
2.-7
3.15
EFGH is translated 3 units to the left and 7 units up.
What are the coordinates of H'?
Answer:
A (3,5)
Step-by-step explanation:
A.P.E.X. Approved
Which set of numbers represents solutions of the inequality m>20?
{16, 17, 18, 19}
{17, 18, 19, 20}
{20, 21, 22, 23}
{21, 22, 23, 24}
The solution to the inequality ( m > 20 ) is {21, 22, 23, 24}
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
m > 20
And , The set of numbers that represents solutions of the inequality m > 20 is {21, 22, 23, 24}
In this set, all the numbers are greater than 20, satisfying the condition of the inequality. The other sets {16, 17, 18, 19}, {17, 18, 19, 20}, and {20, 21, 22, 23} have numbers that are either equal to or less than 20, which does not fulfill the condition m > 20
Hence , the inequality is solved
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
A red team, blue team and green team were playing a game. The 3 people on the red team each lost 15 points. The 6 people on the blue team each gained 14 points. The 5 people on the green team each lost 11 points.
1. What is the total gain/loss for each team? Write your answer as a integer.
Team red:
Team blue:
Team green:
2. The twist in this game is that you need to multiply your final score by -6. Who won the game and what was their final score? The team with the greatest integer wins.
Team————wins with———-points.
A projectile fired at 5 m/s from a gun. If the horizontal component of the initial velocity is equal to 4 m/s. What is the value of the vertical component?
Answer:
\(the \: value \: of \: the \: vertical \: component \to : \\ (v_v) = 3m {s}^{ - 1} \\ \)
Step-by-step explanation:
\(let \: the \: velocity \: be \to \: v \\let \: the \: horizontal \: component \: be \to \: v_h \\ let \: the \: vertical \: component \: be \to \: v_v \\ applying \: the \: pythagorean \: rule \: of \: vectors \to : \\ {v}^{2} = {v_v}^{2} + {v_h}^{2} \\ {v_v}^{2} = {v}^{2} - {v_h}^{2} \\ {v_v}^{2} = {5}^{2} - {4}^{2} \\ v_v = \sqrt{(25 - 16)} \\ v_v = \sqrt{9} \\ \boxed{ v_v = 3 {ms}^{ - 1} }\)
The currency exchange for US dollars (USD) to Canadian dollars (CAD) changes daily. If the rate today is one CAD for every $0.85 USD, how much Canadian money (CAD) would you have if you have $7.82 USD?
9.20 A
8.67 B
6.65 C
0.11 D
Answer:
A.9.20
Step-by-step explanation:
If one cad is 85 cents in USD and you have $7.82 USD then you have to divide your $7.82 by $0.85
if f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?
f(0) = ( f(k) +f(-k) ) / 2
f(0) = (16 - 4) / 2
f(0) = 12 / 2
f(0) = 6 → ANSWER
*Remember that f(0) = m(0) + n = n
If we have f(x) = mx + n, then:
f(k)= mk + n and f(-k)= -mk + n
If we add them:
f(k) + f(-k)
= mk + n -mk + n
= 2n
= 2f(0)
So we conclude that:
f(0) = [f(k) + f(-k)] / 2
Consider the following. 1 3 1 1 8 38 1 V = Max. 15 = {[33][35)(-+ 1}::] [3} ] = M22 B 1 1 1 8 1 8 Complete the following statements. The elements of set B ---Select--- V linearly independent. The set B has elements and dim(M22) = Therefore, the set B -Select--- a basis for V.
The elements of set B are linearly independent. The set B has 6 elements. dim(M22) = 4. Therefore, the set B forms a basis for V.
From the given notation, it seems that we are dealing with a vector space V and a set B containing certain elements. We are asked to analyze the linear independence of the elements in set B, determine the number of elements in set B, and evaluate whether set B forms a basis for V.
Linear Independence:
To determine if the elements in set B are linearly independent, we need to check if any element in set B can be written as a linear combination of the other elements in set B. If no such combination exists, then the elements are linearly independent.
Number of Elements in Set B:
We need to count the number of elements in set B based on the given notation. From the provided information, it seems that there are 6 elements in set B.
Dimension of V:
The notation M22 suggests that the vector space V has a dimension of 4. This means that any basis for V should contain 4 linearly independent vectors.
Basis for V:
If the set B is found to be linearly independent and contains the same number of elements as the dimension of V, then it forms a basis for V. A basis is a set of vectors that is linearly independent and spans the entire vector space V.
To know more about linearly independent,
https://brainly.com/question/16466163
#SPJ11
The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 3 ft. By how many feet is the circumference of the outer circle greater than the circumference of the inner circle? Use ²²⁄₇ for π.
Thanks in advance!
\(6\pi = \boxed{18.9ft}\)
9514 1404 393
Answer:
18 6/7 ft
Step-by-step explanation:
The circumference is given by the formula ...
C = 2πr
The circumference of the larger circle is then ...
C' = 2π(r+3) = 2πr +6π
The difference in circumference is ...
C' -C = (2πr +6π) -(2πr) = 6π
For the given value of π, the difference in circumference is ...
(22/7)(6 ft) = 132/7 ft = 18 6/7 ft
The circumference of the outer circle is greater by 18 6/7 ft.
4. What is the median of this data set?
11, 13, 14, 14, 14, 15, 15, 17, 20, 22
O A 11
O B.14
O c. 14.5
O D. 15
Answer:
C
Step-by-step explanation:
Question Help
Temperature Suppose there is a 1.3°F drop in temperature for every thousand feet that an
airplane climbs into the sky. If the temperature on the ground is 46.3°F, what will be the
temperature when the plane reaches an altitude of 11,000 ft?
The temperature will be
°F (naan
Answer:
662090 thank me later god bless
PLEASE HELP THIS IS DUE IN A SOON PLEASE I WILL MARK YOU BRAINLIEST!!
Find the indicated values.
I need help on number 1, 3 on the bottom, 4 and 5
Answer:
1. m VX = 110°
m VY = 220°
2. AD = 21
3. m PR = 125
m RQ = 125
4. PR = 30
5. AQ = 5
a k/n lottery requires choosing k of the numbers 1 through n. how many different lottery tickets can you choose for a 7/47 lottery? (order is not important, and the numbers do not repeat.)
There are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.
What is combination formula?Using a combination formula, we may extract the number of alternative arrangements from a set of objects or numbers. The combination formula, however, enables us to select a necessary item from a group of items.
To calculate the number of different lottery tickets you can choose for a 7/47 lottery, where order is not important and numbers do not repeat, we can use the concept of combinations.
In a 7/47 lottery, you need to choose 7 numbers out of 47 without considering their order and with no repetition. This can be calculated using the combination formula.
The combination formula is given by:
C(n, k) = n! / (k!(n-k)!)
Where n! represents the factorial of n, which is the product of all positive integers up to n.
In this case, we have n = 47 (the total number of available numbers) and k = 7 (the number of numbers to be chosen).
Plugging these values into the combination formula, we get:
C(47, 7) = 47! / (7!(47-7)!)
Simplifying this expression, we have:
C(47, 7) = 47! / (7! * 40!)
Since the numbers are quite large, it's more practical to use a calculator or a computer program to compute the factorial values and perform the division.
Using a calculator or a program, we find that C(47, 7) is equal to 62,891,499.
Therefore, there are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.
Learn more about combination formula on:
https://brainly.com/question/29501899
#SPJ4
The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.
antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5
Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1
Which of the following can be inferred from the data?
A. Antonio runs the race faster than Marco on average.
B. Marco always runs a better time than Antonio.
C. Marco is more likely than Antonio to improve after a poor race.
D. Antonio's average time is about 5.1 seconds,
Step-by-step explanation:
The answer is A
Bcz In a race runs faster whoever does it in less time
What percent is equivalent to 24/50?
24%
48%
50%
52%
Answer:
48%
Step-by-step explanation:
24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)
a plane has 360 360360 total seats, which are divided into economy class and business class. for every 13 1313 seats in economy class, there are 5 55 seats in business class. how many seats are there in each class?
There are 100 seats in business class and 260 seats in economy class on the plane. As,we know that for every 13 seats in economy class, there are 5 seats in business class. We can write this as a fraction:5/13. This fraction represents the ratio of seats in business class to seats in economy class.
We can use this ratio to find the actual number of seats in each class, let's start by finding the total number of seats in business class. To do this, we need to know what fraction of the total number of seats is in business class. We can write this as: 5/18. This fraction represents the ratio of seats in business class to the total number of seats and can use this fraction to find the actual number of seats in business class:5/18 * 360 = 100. So there are 100 seats in business class.
Now we can use the ratio of seats in economy class to find the actual number of seats in that class. We know that there are 13 seats in economy class for every 5 seats in business class. So the ratio of seats in economy class to seats in business class is:13/5, We can use this ratio to find the actual number of seats in economy class: 13/5 * 100 = 260, so there are 260 seats in economy class.
To know more about fractions click here
brainly.com/question/10354322
#SPJ11
64a^3 b^3-125c^3
Which algebraic identity is used in this?
Answer with steps
Answer:
\(64a^3b^3-125c^3=(4ab-5c)(16a^2b^2+40abc+25c^2)\)
Step-by-step explanation:
You have the following polynomial:
\(64a^3b^3-125c^3\)
This expression is of the form:
\(x^3-y^3\)
that is, a difference between cubes. The factorization of such a polynomial is given by:
\(x^3-y^3=(x-y)(x^2+2xy+y^2)\)
You apply the last expression to the polynomial given in the problem. But first you have:
\(x^3=64a^3b^3\\\\y^3=125c^3\\\\x=4ab\\\\y=5c\)
finally, you obtain:
\(64a^3b^3-125c^3=(4ab-5c)((4ab)^2+2(4ab)(5c)+(5c)^2)\\\\64a^3b^3-125c^3=(4ab-5c)(16a^2b^2+40abc+25c^2)\)
Drag numbers to make an expression
that has a value of 10.
5 2 1 1
(_ - _) + (_ x _)= 10
a is 15 A is the inverse ol matrix A,give the values of g and h below,showing all working and simplifying results as far as possible 3 (iv) Solve the system of simultaneous equations 2x+3y+z=4 x-2y+2z=4 4y-3x-3z=5 ing.matrixinversion:
To find the inverse of matrix A, we can use the formula for the inverse of a 3x3 matrix: A^(-1) = (1/det(A)) * adj(A) First, let's find the determinant of matrix A. The determinant is calculated by taking the cross product of the rows or columns:
det(A) = (1 * 2 * 4) + (2 * 2 * 3) + (3 * 4 * 1) - (4 * 2 * 3) - (3 * 2 * 1) - (1 * 4 * 2)
= 8 + 12 + 12 - 24 - 6 - 8
= 4
Next, we need to find the adjoint of matrix A. The adjoint is obtained by taking the transpose of the cofactor matrix:
To solve for X, we can use the formula:
X = A^(-1) * B
Plugging in the values, we have:
X = | 1/2 -1/2 1 | * | 4 |
| 4 |
| 5 |
Calculating the matrix product, we get:
X = | 1/2 * 4 + (-1/2) * 4 + 1 * 5 |
| 1/2 * 4 + 1/4 * 4 + (-3/4) * 5 |
| (-1) * 4 + 1/2 * 4 + 1/4 * 5 |
Therefore, the solution to the system of simultaneous equations is x = 2, y = 1, and z = -1.
Learn more about the matrix product here; brainly.com/question/31040795
#SPJ11
65 people like cricket or tennis .40 of them like cricket while 30 like cricket only .How many like tennis only?How many like tennis?
Answer:
The overlap is 40 - 30 = 10 which means 10 people like both. 65 - 40 = 25 people like tennis only and 25 + 10 = 35 people like tennis.