A “full house” (3 cards of one kind and 2 cards of another kind)
Since there are 13 sets of each type, we have to select any 2 kinds of it.
The probability becomes : 2× ¹³C2 × ⁴C3 × ⁴C2 : ^52C5
On simplification,
= 3744 / 2598960
= 0.00144
So the probability of a “full house” is 0.00144.
DEFINITION OF PROBABILITYProbability is a measure of the probability that an event will occur in future. Probability is expressed between 0 to 1 or in percentage".
There are three important things in discussing probability, namely trials (experiment), result (outcome). and events.
Experiment is an activity that gave birth to an event.For example, the activity of tossing coins will result in the appearance of images or numbers, the activity of buying and selling shares will result in buying or selling events.
Outcome is a result of the experiment. From an experiment will give results.So the outcome is all the possible events that will occur as a result of an experiment or activity.
An event is a collection of one or more outcomes that occur in an experiment or activity.Events show the results that occur from an event. In every experiment or activity there is only one possible outcome. In the activity of buying and selling shares, if you don't buy, it means selling. When prices change, inflation or deflation occurs.
Learn more about probability at https://brainly.com/question/29381779.
#SPJ4
trapezoidal riemann sum overestimate or underestimate
The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.
What is trapezoidal rule?The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.
To know more about trapezoidal rule,
brainly.com/question/17218343
#SPJ4
Complete question:
The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral. True/False
PLS HELP MEEEEEEEEEEEEEE PLS
The value of {r} is 64 and the value θ is 30°.
What are complex numbers?A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex] . The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.
Given is the complex number -
z = 4√3 - 4i
We can write the value of {r} as -
r = (4√3)² + (- 4)²
r = 16 x 3 + 16
r = 64
θ = tan ⁻¹(4/4√3)
θ = tan ⁻¹(1/√3)
θ = 30°
Therefore, the value of {r} is 64 and the value θ is 30°.
To solve more questions on complex number, visit the link below -
https://brainly.com/question/20566728
#SPJ1
PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
learn more about linear equations here :
https://brainly.com/question/29739212
#SPJ1
Fill in the missing number. % of 98 = 49
50%
since 98/2 = 49
Thats it
Suzanne has a 12 inch board for construction and a wooden chair. The directions say to use a board that is 29 cm long is your board long enough to cut?
Yes 12 inches converted to centimeters is around 30 cm
8 times 10^-3 in numbers
Answer: 0.0008
Please correct me if I'm wrong.
A person loans his friend $500. They agree to an annual interest rate of 5%. Write (type) an expression for computing the amount owed on the loan, in dollars, after t years if no payments are made.
Answer: Answer: 475
Because i divided 500 by 5% and it gives u 475.
Which ordered pair is a solution of the linear system shown? Please include & show all your work to solve this problem.
y = 1/2x + 1
y = 3/2x + 4
A. (-3, -1/2)
B. (0,1)
C. (3/2, 7/4)
D. (3, 5/2)
Answer:
To find the solution of a linear system, we need to find the values of x and y that satisfy both equations. One method to solve a system of linear equations is substitution. We can use the first equation to find the value of y in terms of x, and substitute it into the second equation.
y = 1/2x + 1
y = 3/2x + 4
We substitute the first equation into the second equation:
3/2x + 4 = 1/2x + 1
Now we simplify:
2x = 3
x = 3/2
Finally, we substitute x = 3/2 into either equation to find y:
y = 1/2 * 3/2 + 1 = 2
So, the solution of the system is (3/2, 2). Out of the given options, only (3/2, 7/4) has the same values of x and y.
Therefore, the answer is (C) (3/2, 7/4).
Answer: A
If you plug in -3 into X on both equations you'd get -1/2, thus showing that (-3, -1/2) is a solution to both
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.
12:24 FAST HELP
1:3
3 over 1
4 to 12
The statement that represents the ratio of cars to trains would be = 3 over 1. That is option C.
What is a ratio?A ratio is defined as the expression that represents the comparison between two values.
The collection of vehicle models of Alex include the following:
The number of airplane = 8
The number of trains = 4
The number of cars = 12
Therefore, the ratio of cars to train = 12:4
This is further reduced to a simplest form;
= 12:4 ( divide through by 4)
= 3:1
Learn more about ratios here:
https://brainly.com/question/25927869
#SPJ1
Each face of a cube has an area of 75xy^2cm2 what is the volume of the cube?
The volume of the cube would be 5y√x cm^3.
What is cube?A cube is a square shape, so both sides ( length and width) of a face would be the same.
Supposing that the considered cube has side length (also called edge length) of L units.
Then, its one side's area equals L^2 sq. units (as each side is a square, so we used formula for area of a square).
We have to Find the length of the side by finding the square root of the area of the face:
Area = 75xy^2
Length = √75xy^2 = y √5 x 5 x 3 x cm.
Volume is Length x Width X height.
Volume = 5y√x cm^3
Learn more about cube here:
https://brainly.com/question/295960
#SPJ1
don’t understand please help
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center at the origin, passing through P(5, −8)
[tex]x^{2}[/tex] +[tex]y^{2}[/tex] = 801 is the equation of the circle in standard notation.
The equation of a circle with center at the origin (0, 0) can be written as:
, where r is the radius of the circle.
Since the circle passes through the point (5, -8), we can substitute these values into the equation of the circle to find the radius:
[tex](5-0)^{2} (-8-0)^{2}= r^{2}[/tex]
25 + 64 = r^2
[tex]r^{2}[/tex]= 89
r = sqrt(89) = 3 sqrt(89)
So, the equation of the circle with center at the origin and passing through (5, -8) is:
(x - 0)^2 + (y - 0)^2 = (3 sqrt(89))^2
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 9 * 89
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 801
This is the equation of the circle in standard notation.
You can learn more about equation of the circle at
https://brainly.com/question/24810873
#SPJ4
one friday night, two large groups of people called wildgrove taxi service. the first group requested 1 sedan and 2 minivans, which can seat a total of 13 people. the second group asked for 3 sedans and 2 minivans, which can seat a total of 19 people. how many passengers can each type of taxi seat?
Each sedan can seat 2 passengers per type of taxi seat and each minivan can seat 2 passengers per type of taxi seat.
Total no. of sedans requested by the first group = 1
Total no. of minivans requested by the first group = 2
Total no. of people that can be seated = 13
Total no. of sedans requested by the second group = 3
Total no. of minivans requested by the second group = 2
Total no. of people that can be seated = 19
Now, the total no. of people for each type of taxi can seat = 13 passengers / 3 taxis.
By rounding up to the nearest value, 4 passengers per taxi.
No. of sedan seats = No. of passengers of a minivan.
By implementing division,
So, the total no. of passengers for each type of taxi can seat = 4/2 = 2 passengers.
Therefore, each sedan can seat 2 passengers per type of taxi and each minivan can seat 2 passengers per type of taxi.
To learn more about division:
https://brainly.com/question/28749372
#SPJ4
you are dealt seven cards from a well-shuffled, standard deck of playing cards. what is the probability that you get exactly two hearts?
The probability of getting exactly two hearts from a well-shuffled standard deck of playing cards can be calculated as follows:Since there are 13 hearts in a standard deck of playing cards, the probability of getting a heart in one draw is 13/52
A heart card is one of the four suits in a standard deck of playing cards. The standard deck of playing cards has 52 cards, including 13 cards in each of the four suits: clubs, diamonds, spades, and hearts. The hearts suit is usually represented by a red heart symbol. Each suit has cards numbered from Ace to King.A standard deck of playing cards is a deck of playing cards that consists of 52 cards, including four suits: spades, hearts, diamonds, and clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The cards in a standard deck are usually used for playing a variety of card games, such as poker, solitaire, bridge, blackjack, and many others. The standard deck of playing cards has been used for centuries and is still widely used for both casual and professional gaming.
Find out more about deck of playing cards
brainly.com/question/30021866
#SPJ4
A clock has a radius of 2 feet and an arc on the clock has a measure of π3 . A student claims that the area of the clock and the length of the subtended arc can be used to calculate te measure of the central arc in radians. Evaluate the student's claim and give an example that either supports or disproves the student's claim.
Answer:
see below
Step-by-step explanation:
r=2
arc = 3π
clock area = π r² =4π
circumference = 2πr =4π
subtended arc =3π = 75% of the clock
360° for a full circle so its central angle is 270°
1. How does wind move the sail?
2.
The solution is, by force wind move the sail.
What is forces acting on a boat?As the boat is sailing, the wind will be faster than the boat. This fast wind is obstructed by the sail. That is, the fast wind gets slowed down by the sail because the sail pushes the wind backwards which slows down the wind. This will make the wind push the boat forward thereby accelerating the boat.
here, we have,
Gravity and buoyancy are the two key forces that operate on a stationary sailboat. The power of the wind pulls on the sail in order for the boat to move which allows the boat to move. The powers are now unbalanced, which is apparent from the acceleration of the ships.
The boat accelerates until the forward portion of the force from the sails is matched by the drag from the water.
Learn more about the forces acting on a boat here:
brainly.com/question/21186114
#SPJ1
which method is better for developing conceptual understanding? in an experiment, 109 university students all watched the same lecture. half were randomly assigned to take notes on a laptop while the remaining students took notes by hand. before taking a test to measure conceptual understanding of the lecture, researchers assigned half of each group to review their notes while the other half weren't given an opportunity to review.
The students who took notes by hand understood better than those who took lecture notes on laptop.
When students take notes by hand, during writing the notes they understand the concept, and their brains will store the information and they can memorize it easily. This is the best method for conceptual understanding and it will improve the analytical thinking and problem-solving skills of the student.
Instead of adopting the more conventional approach of concentrating on learning on topics, conceptual learning includes students engaging in high-quality learning experiences built around important concepts and essential ideas. Conceptual is a term used to describe ideas and mental constructs.
To learn more about conceptual learning
https://brainly.com/question/29795184
#SPJ4
For the diagram below, which equation is the correct use of the distance formula?
Help please guys....
The equation that portrays the correct use of the distance formula is 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )
Which equation is the correct use of the distance formula?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
From the diagram;
Point A (5,6)
x₁ = 5y₁ = 6Point B (11,y₂)
x₂ = 11y₂ = y₂Distance d = 6.71
Plug the given values into the distance formula.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )
Therefore, the correct use of the formula is 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ).
Option D) 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ) is the correct answer.
Learn more about the distance formula here: brainly.com/question/24509115
#SPJ1
help me do. this\ fast
The equation of the perpendicular line is y = -4/3 x + 12.
The equation of the parallel line is y = 3/4 x + 2.
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
Consider the line y= (3/4)x+6.
To find the equation of the line that is perpendicular to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to find the slope of the perpendicular line.
Since the slope of a line perpendicular to another line is the negative reciprocal of the original line.
The slope of the line y = (3/4)x + 6 is m = 3/4.
Therefore, the slope of the perpendicular line is -4/3.
Plugging in the values we have, we get:
y - (-4) = -4/3 (x - (-8))
Simplifying, we get:
y + 4 = -4/3 x + 8
y = -4/3 x + 12
So the equation of the perpendicular line is y = -4/3 x + 12.
To find the equation of the line that is parallel to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to use the same slope, m = 3/4, as the original line.
Using the point-slope form of a line, we get:
y - (-4) = 3/4 (x - (-8))
Simplifying, we get:
y + 4 = 3/4 x + 6
y = 3/4 x + 2
So the equation of the parallel line is y = 3/4 x + 2.
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ1
Two joggers, one averaging 5 mph and one averaging 4 mph, start from a designated initial point. The slower jogger arrives at the end of the run 35 minutes after the other jogger. Find the distance of the run.
The distance of the run is 11.67 miles.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Speed of first jogger = 5 mph
Speed of second jogger = 4 mph
Let d be the distance in miles of the run.
Time taken by first jogger be t hours.
Time taken by second jogger = t + (35 minutes) = t + (7/12) hours
Speed = Distance / Time
5 = d / t and 4 = d / (t + 7/12)
d = 5t and d = 4 (t + 7/12)
5t = 4 (t + 7/12)
5t = 4t + 7/3
t = 7/3 hours
d = 5t = 11.67 miles.
Hence the distance ran by both joggers is 11.67 miles.
Learn more about Speed here :
https://brainly.com/question/28224010
#SPJ1
100 points!!!!!
A population of 50 foxes in a wildlife preserve quadriples in size every 11 years. the function y=50x4^x where x is the number of 11-years, models the population growth. models the population growth. How many foxes will there be after 22 years?
After 22 years there will be _____ (type whole number)
Answer:
To find the number of foxes after 22 years, we need to substitute x = 22/11 into the equation:
y = 50 * 4^(22/11)
Using a calculator or approximation, this expression evaluates to approximately 68,719.
So, after 22 years there will be approximately 68,719 foxes.
Step-by-step explanation:
Simplify the expression:
[tex]\frac{\frac{1}{a} +\frac{2}{b} }{\frac{2}{a}+ \frac{1}{b} }[/tex]
The simplified form of the given expression is 2a+b/2b+a.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is [tex]\frac{\frac{1}{a}+ \frac{2}{b} }{\frac{2}{a}+ \frac{1}{b} }[/tex].
The expression can be simplified as follows
[tex]\frac{\frac{b+2a}{ab} }{\frac{2b+a}{ab} }[/tex]
= 2a+b/2b+a
Therefore, the simplified form of the given expression is 2a+b/2b+a.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ1
what is a linear system with fewer equations than unknowns?
Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.
What in mathematics is a linear system?
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.
Learn more about linear system
brainly.com/question/26544018
#SPJ4
is it possible to form a triangle with side lengths 3,3, and 4
Answer:
Yes
Step-by-step explanation:
is it possible to form a triangle with side lengths 3,3, and 4?
Sum of any two sides of a triangle is greater than the third side.
3 + 3 = 6 (greater then 4)
4 + 3 = 7 (greater then 3)
so, the answer is yes
in the picture your isosceles acute triangle
a 5-card poker hand is dealt at random from a standard 52-card deck. what is the total number of possible hands?
By using the formula for permutation, we can find that there are 2,598,960 possible combinations of 5 cards that can be dealt from a standard deck of 52 cards.
Poker is a popular card game that is played with a standard deck of 52 cards.
A permutation is the arrangement of objects in a specific order. In this case, the objects are the 52 cards in a standard deck, and the order is the 5 cards that are dealt to each player.
To find the number of possible 5-card hands, we can use the formula for permutation:
P(52, 5) = 52! / (52 - 5)!
Where "52!" is the factorial of 52, meaning the product of all positive integers from 1 to 52.
52! / (52 - 5)! = 806,368,039,360 / 47! = 2598960
The final answer is that there are 2,598,960 possible 5-card hands that can be dealt from a standard deck of 52 cards.
To know more about permutation here.
https://brainly.com/question/1216161
#SPJ4
Choose the equations in which w = 100 makes the equation true.
A. 0.54 ÷ w = 0.0054
B. 4,086 ÷ w = 4.086
C. 362.7 ÷ w = 3.627
D. 5.3 ÷ w = 0.0053
E. 21.9 ÷ w = 0.219
Answer:
equation A,C and E are true if w=100
whats fractio equivlet to 18.75%
Answer:
18 3/4
Step-by-step explanation:
Answer:
18 3/4 or 75/4
Step-by-step explanation:
please check image regarding rational exponents
Answer:
the length of each side will b s.
the answer is 1.6x ............
Answer: ok njnnnnnnnnnnnnnnnnnnnnnnnn
Which of the of the following is a true statement about their kinetic energies?
True statement about the kinetic energies between Daniel and Robert is that Daniel has more kinetic energy than Robert.
What is the relationship between mass kinetic energy and speed?Kinetic energy will be greater if the speed and mass are large, otherwise the kinetic energy will be smaller if the speed and mass are small.
At the illustration, who has a faster speed is Daniel.
It is stated that the rowing device and its mass are the same. So a greater speed will also affect the kinetic energy which will also be greater. So it can be conclude that Daniel has more energy kinetic.
Your question is incomplete but most probably your full question was:
Daniel and Robert went rowing. While Robert was rowing at a speed of 8 km/h, Daniel was rowing at a speed of 10 km/h in the opposite direction. If the masses of the boats and their rowers are equal, which of the following is a true statement about their kinetic energies?
Only Robert has kinetic energy because he is rowing in the forward direction.Robert has more kinetic energy than Daniel.Only Daniel has kinetic energy because his energy cancels out Robert’s.Daniel has more kinetic energy than Robert.Learn more about kinetic energy at https://brainly.com/question/26472013
#SPJ1