Answer: 0.4754
A poker hand is a combination of 5 cards from the pack of 52 cards.
One hand full is said when we have 2 cards of the same rank.
In this question, we have to find the probability of 2 hands full of different ranks.
So,
We use the formula : C(n,k)=\frac{n!}{k!(n-k)!}
From permutations and combinations, since order doesn't exist.
From a suit of 13 cards any two cards are chosen:
C(13,2)=\frac{13!}{2!(13-2)!}
C(13,2)=\frac{13×12×11!}{2!11!}
C(13,2)=\frac{13×12!}{2!}
C(13,2)=156/2
C(13,2)=78
78 ways are there to choose for each of the pairs .
Now,
If one of the ranks is of any particular suit or maybe a face card out of which two of them are chosen.
C(4,2)=\frac{4!}{2!(4-2)!}
C(4,2)=6
And same for the other sets of cards of another pair.
We have 78×6×6= 2808 ways to pick the first 4 cards.
Now,
For the fifth card which can be any card except for the paired suit i.e, 13-2=11
There are 4 suits to pick from, 4×11= 44 cards to pick for the final card.
For the first card = 2080
For the fifth card= 44
Total number of two pair hands possible= 2080×44= 123,552
Out of:
C(52,5)=\frac{53!}{5!(52-5)!}
C(52,5)= 2,598,960
Probability of event= 123,552/2,598,960
= 0.4753901560624
Final answer= 0.4754
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The probability of being dealt a two-pair is 0.4754.
Given;
What is the likelihood of receiving a two-pair when dealing a five-card poker hand from a 52-card deck that has been properly shuffled?
We use combinations to solve the given case;
From each suit, any two cards are chosen,
C(13,2) = [tex]\frac{13!}{2!(13-2)!}[/tex]
= [tex]\frac{13*12*11!}{2!11!}[/tex]
= 156/2
= 78
Hence, there are 78 ways to choose for each of the pairs.
Now,
If one of the ranks is a face card, two of them are chosen, or if one of the ranks is a certain suit.
C(4,2) = [tex]\frac{4!}{2!(4-2)!}[/tex]
=6
Similar to the other sets of cards of another pair.
We have 78×6×6= 2808 ways to pick the first 4 cards.
Now,
The fifth card, which can be any card other than the paired suit, is dealt as follows: 13 - 2 = 11.
There are 44 cards total to choose from among the 4 suits, or 4 x 11.
2080 for the primary card.
44 for the fifth card.
Possible two-pair hands total 2080 x 44 = 123,552.
Then,
C(52,5) = [tex]\frac{53!}{5!(52-5)!}[/tex]
= 2,598,960
Probability of event = Possible two-pair hands / Total outcome
= 123,552 / 2,598,960
= 0.47539
Hence, the probability of being dealt a two-pair is 0.4754.
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Consider the line y=-8/5x+6.
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of parallel line:
Equation of perpendicular line:
Step-by-step explanation:
the equation
y = -8/5 x + 6
tells us 2 things :
-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).
a parallel line has the same slope (just a different y-intercept) : -8/5
a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8
we the use the given point as x and y values and calculate the y-intercepts.
parallel :
3 = -8/5 × 5 + y-intercept = -8 + y-intercept
11 = y-intercept
y = -8/5 x + 11
perpendicular :
3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept
(3×8)/8 = 24/8 = 25/8 + y-intercept
-1/8 = y-interceot
y = 5/8 x - 1/8 = 1/8 × (5x - 1)
What is the least angle measure by which this figure can be
rotated so
that it maps onto itself?
45°
90°
180°
360°
90° is the least angle measure by which this figure can be rotated so that it maps onto itself.
The correct option is (B)
From the figure,
As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.
Angle between x axis and y axis is 90°.
So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.
Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.
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the human resources department at a major high-tech company recently conducted an employee satisfaction survey of 100 of its 3000 employees. data were collected on such variables as age, gender, marital status, current salary, level of overall satisfaction on a scale from 1 to 5, number of years with the company, and job title. which of the variables listed are considered to be ratio level data?
Gender and marital status and Job title.
What are edtech companies?Computer hardware, software, educational theory, and practice are all used in conjunction with educational technology, also known as edutech or edtech, to facilitate learning. The sector of businesses that produce educational technology is frequently referred to by its abbreviation, edtech.EdTech companies can approach the consumers, this can be done via the schools that are convinced to use a product for free. Then, if the families want to continue to use the offering they can be charged for its usage at home. Here, schools act as lead generators for consumer adoption.They design contemporary learning spaces that enable digital immersion.They provide individualized instruction that is catered to the learning style and circumstances of each student.They offer access to a variety of information and educational opportunities without regard to location.learn more about edtech companies click here:
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write down the ratio 240kg:6kg give your answer in its lowest form
Answer:
40kg:1kg
Step-by-step explanation:
240kg:6kg
Both sides can be divided by 6 so we that to simplify
40kg:1kg
Hopes this helps please mark brainliest
240 : 6
answer = 1 : 4 the simplest form of 240 : 6
1. Simplify the expression: 13 [6²÷(52-42) +9]
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
Write and solve an equation to find the original amount of nuts, x, in the recipe.
The original amount of nuts, x, in the recipe is 103
The equation for the original amount is 2x + 2x = 412
What is an algebraic expression?An algebraic expression can be defined as an expression made up of terms, factors, constants, coefficients, and variables.
These expressions are also known to be made up of mathematical operations such as;
SubtractionAdditionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
Beverly doubles the amount of nuts and peanut butter chips
Total number = 412
This is represented as;
2x + 2x = 412
collect like terms
4x = 412
Make 'x' the subject of formula
x = 412/ 4
x = 103
Hence, the value is 103
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Please help me with this question
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 42 in, find its length and width.
Answer: Width = 7 inches, Length = 14 inches
Step-by-step explanation:
Let the width be [tex]w[/tex]. Then, the length is [tex]2w[/tex].
Using the formula for the perimeter of a rectangle,
[tex]2(w+2w)=42\\\\w+2w=21\\\\3w=21\\\\w=7\\\\\implies 2w=14[/tex]
please help asap will give brainliest
1. The angles measures are larger than the original angle measures is a false statement.
2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.
3. The final angle measure are the same as the original angle measure is false statement.
4. The original figure and the final figure may not be congruent is true statement.
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follow the steps to find the area of the Shaded region. use trigonometry to find the height of the triangle. ROUND TO THE FOURTH DECIMAL PLACE!
The height h of the triangle is equal 6.2cm
Trigonometric RatioTrigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
In this case, we have some data and we can easily plug in those values and find the height.
Angle = 51 degreesHypothenuse = 8cmopposite = hWe can apply the sine ratio to this problem and solve.
sinθ = opposite / hypothenuse
sin 51 = h /8
h = 8 sin 51
h = 6.2cm
Using trigonometric ratio, the value of h is 6.2cm
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Which graph represents the inequality y ≥ 1-3x?
Answer: show us the graph
Step-by-step explanation:
PAGE 6
7. Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child
tickets cost $3 each.
a. Write a mathematical equation that represents the total cost, t, for a adult tickets and c child tickets.
b. Ciera has $28. Could she buy 2 adult tickets and 7 child tickets? Use your equation from part a. to show
your work.
c. Jaylen has $22. If he buys 2 adult tickets, how many child tickets can he buy? Show your work.
C2022 Iluminate Education, Inc.
Question
Edit ->
Edit ->
Ĉ
Question 7b
Ĉ
Fo
Form
a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b)No, she cannot buy 2 adult tickets and 7 child tickets.
Define equation.Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.
Given,
Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.
a) Mathematical equation:
represents the total cost, t, for a adult tickets and c child tickets
t = $5a + $3c
A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b) Ciera has $28.
a = 2 c = 7
Equating values in equation,
= $5(2) + $3(7)
= $10 + $27
= $37
No, she cannot buy 2 adult tickets and 7 child tickets.
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help meeeeeeeeeeeeeeeeee please
Answer:
x + x + 2 = x + 3
2x + 2 = x + 3
x = 1
x + 2 = 3
x + 3 = 4
Delta Airlines' flights from Denver to Dallas are on time 80 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded.
Round answers to 3 significant figures.
The probability that exactly 4 flights are on time is =
The probability that at most 3 flights are on time is =
The probability that at least 6 flights are on time is =
1) Probability that exactly 4 flights are selected is; P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is; P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is; P(X ≥ 6) = 0.57672
How to solve Binomial Probability Distribution?The formula for binomial probability distribution is;
P(r) = nCr * p^(r) * (1 − p)^(n − r)
Where;
n = Number of events
r = Number of successful events in the trials
p = Probability of success in the single trial of the events
We are given;
p = 80% = 0.8
n = 7
1) Probability that exactly 4 flights are selected is;
P(X = 4) = ⁷C₄ * 0.8⁴ * (1 − 0.8)^(7 − 4)
P(X = 4) = ⁷C₄ * 0.8⁴ * 0.2³
P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Solving using online binomial calculator gives;
P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is;
P(X ≥ 6) = P(X = 6) + P(X = 7)
P(X ≥ 6) = 0.57672
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I’ll brainlist if y’all answer these…
A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is:
A) 27 cm
B) 20 cm
C) 390 cm
D) 6075 cm
The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively
A) 3 and -5
B) -3 and 5
C) 5 and -3
D) -5 and 3
The expression that simplifies to 11x + 2y is:
A) 4x + 3y + 7x - y
B) 13xy- 2y+ 2 + y
C) 9 x square + y + y + 2x
D) 5 + 6x + 2y
Answers: A, A, A
1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm
15cmx 27cm= 405 cm
2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5
(I don't really know how to explain this.......)
3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y
4x+7x=11x
3y-y = 2y
Therefore, it will equal to 11x+2y.
I really hope this helps!
Please Mark Me Brainliest!!!
(I'm in 5th Grade Honors but I learn MS)
Answer:
All the answer are A
Step-by-step explanation:
Area = length times width
405 = x15 Divide both sides by 15
27 = x
For the x intercept Let y = o and solve for x
5x - 3y -15 = 0
5x - 3(0) -15 = 0
5x -15 = 0 Add 15 to both sides of the equation
5x = 15 Divide both sides by 5
x = 3
The x intercept is (3,0)
For the y intercept Let x = 0 and sole for y
5x -3y -15 = 0
-3y -15 = 0 Add 15 to both sides of the equation
-3y = 15 Divide both sides by -3
y = -5
The y intercept is (0,-5)
4x + 3y + 7x - y Combine the like terms
(4x + 7x) = (3y -y)
11x + 2y
A swimming pool shaped like a rectangular prism measures 12 feet deep, 26 feet long, and 14 feet wide. determine the volume, v = lwh, of the pool in cubic meters. round the answer to the nearest cubic meter. (1 foot = 0.305 meter) 4,368 cubic meters 1,332 cubic meters 406 cubic meters 124 cubic meters
A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.
Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.
Volume is defined as the amount of space that a three-dimensional shape occupies.
The volume of a rectangular prism can be calculated using the formula below.
V = l x w x h
where V = volume
l = length
w = width
h = height or depth
Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.
V = l x w x h
V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³
V = 124 cubic meters
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Find the other endpoint with the given endpoint (-5, 1) and midpoint (3, -4)
The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is (11, -9)
What is mid point?A midpoint is a point lying between two points and is in the middle of the line joining the two points.
The mid point formula is represented as follows;
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).
Hence,
(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)
Therefore,
3 = -5 + x₂ / 2
cross multiply
6 = -5 + x₂
x₂ = 6 + 5
x₂ = 11
-4 = 1 + y₂ / 2
cross multiply
-8 = 1 + y₂
y₂ = -8 - 1
y₂ = - 9
Therefore, the endpoint is (11, -9)
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A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams) 170.1 milligrams 1,701 milligrams 17,010 milligrams 170,100 milligrams
The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.
What is Measurement unit ?A measurement unit is unit to measure different quantities such as mass, length and time.
The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.
Given that,
The amount of raisins is 6 ounces.
Since One ounce is equal to 23.85 grams,
6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams
Now, 1 gram = 1000 milligrams.
Therefore, 171. 10 grams = 171.10 × 1000 milligrams
= 171100 milligrams.
Hence, 6 ounces of raisins is equivalent to 171100 milligrams.
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Answer:
A recipe calls for 170,100 milligrams of raisins.
Step-by-step explanation:
I took the exam and got it right
4u+8v=-3u+2v
pleaseeee
Answer:
solve for u= 6v/7
solve for v= 7u/6
Step-by-step explanation:
a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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write ax +by =c in terms of a? solve for a
Answer:
a = (c - by) / x
Step-by-step explanation:
ax + by = c
ax = c - by
a = (c - by) / x
Two-thirds of a number subtracted from nine is seven. Find the number.
Answer:
3
Step-by-step explanation:
9-2/3x=7
We know that 9-2=7 so 2/3x must be 2
2/3x=2
You have to multiply each side by 3/2
x=3
The number is 3
Jackie old lemonade and made $24 while Liana old lemonade
and made $36. Write the ratio of money made by Jackie and
Liana by elling lemonade
The Ratio of money made by Jackie and Liana by selling lemonade is 2/3
What does a math ratio mean?
Definitions: If b is not equal to 0, then an ordered pair of numbers a and b, denoted as a/b, is a ratio. A proportion is an equation that equalizes two ratios. You could, for instance, write the ratio as follows: 1: 3 in the case of 1 boy and 3 girls.
How is a ratio calculated?
By typically dividing two figures, ratios contrast them. If you were comparing one data point (A) to another data point, your formula would be A/B. (B). You are multiplying information A by information B, as indicated by this. For instance, if A is 5 and B is 10, your ratio will be 5/10.
Given that
Jackie earn = $24
Liana earn = $36
Ratio of their earning = 24/36 = 2/3
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on average, 3 traffic accidents per month occur at a certain intersection. what is the probability that in any given month at this intersection (a) exactly 5 accidents will occur? (b) fewer than 3 accidents will occur? (c) at least 2 accidents will occur?
a)The probability of exactly 5 accidents will occur is 0.1008.
b) The probability of fewer than 3 accidents will occur is 0.42318.
Define probability.It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12. Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.
Given,
Mean = 3
a) By using Poission probability formula,
P( X = 5) = e⁺³ (3)⁵/5!
P(X = 5) = 0.1008
The probability of exactly 5 accidents will occur is 0.1008.
b) fewer than 3 accidents will occur:
P( X <3) = e⁻³ (3)⁰ + e⁻³ (3)¹ + e⁻³(3)²
P( X< 3) = 0.4978 + 0.14936 + 0.22404
P( X < 3) = 0.42318
The probability of fewer than 3 accidents will occur is 0.42318.
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Find measure vzw pls helppppp
VZW=64
Step-by-step explanation:
Since the lines are straight the angles are equal. 2x+32=3x+16
Solve this for x.
32=x+16
16=x
Put the value for x (16) in to one of the angle equations
2(16) + 32 = 32 + 32 = 64
A history teacher asked her students how many hours of sleep they had the night before a test. The data below shows the number of hours the student slept and their score on the exam. What is the best linear regression model rounded to the nearest hundredth? image A. y = 6.38 x + 35.63 B. y = 6.37 x + 0.78 C. y = 35.60 x + 6.378 D. y = 35.63 x + 6.38
The best linear regression model for the grade according to the number of hours slept is of:
A. y = 6.38 x + 35.63.
How to obtain the equation of linear regression for a data-set?To obtain the linear regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in a linear regression calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the points are given in the table given by the image at the end of the answer, and are given as follows:
(8, 83), (7, 86), (7, 74), (8, 88), (6,76), (5, 63), (7, 90), (4, 60), (9,89), (7,81).
Inserting these points into the linear regression equation, the equation is given as follows:
y = 6.38 x + 35.63.
Hence the correct option is given by option A.
Missing Information
The problem is given by the image shown at the end of the answer.
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A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Write an expression that represents the change in depth of the dolphin's dive.
The expression that represents the change in depth is |-45 + 20|
How to determine the change in depth expression?From the question, the endpoints are given as
Initial point = 20 feet below the sea level
Final point = 45 feet below the sea level
Rewrite the endpoints properly
This is done as follows
Initial point = -20
Final point = -45
The distance expression between the endpoints is then calculated as
Distance = |Final point - Initial point|
Substitute the known values in the above equation
So, we have the following equation
Distance = |-45 + 20|
Hence, the distance expression is |-45 + 20|
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what is 10x - 5 = 105
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
What is the expected number of female children in a family with three children?
O 1
O 1.5
O 2
O 2.5
Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.
In the given question, we have to find the expected number of female children in a family with three children.
The possibility of having girls in family is 0,1,2 or 3.
From the 8 possible sequences, only one of them give the possibility of 0 girls.
So the probability of 0 girls is 1/8.
There are total 3 ways of having 1 girl.
That is: GBB, BGB, and BBG.
Thus, the probability of 1 girl is 3/8.
Similarly checking for having 2 girls with probability 3/8
Having 3 girls with probability 1/8.
The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.
The anticipated number of girls is therefore
= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3
= 0+3/8+6/8+3/8
=(3+6+3)/8
=12/8
=1.5
Hence, the expected number of female children in a family with three children is 1.5.
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Determine the total number of roots of each polynomial function. f (x) = 3x6 2x5 x4 - 2x3 6 g(x) = 5x - 12x2 3
The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6 and for g(x) = 5x-12x^2+3 is 2
Since for finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) = 5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.
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Answer:
f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots