In horse​ racing, a trifecta is a bet that the first three finishers in a race are​ selected, and they are selected in the correct order. Does a trifecta involve combinations or​ permutations? explain.

Answers

Answer 1

In horse racing, a trifecta, which is a bet that the first three finishers in a race are​ selected, and they are selected in the correct order, involves selection done in permutation.

Permutation is the method of selecting or arranging objects or numbers in order. It is used when the order or sequence of the elements selected is important. The number of permutations of n objects taken r at a time is determined by the following formula: P(n , r) = n!

On the other hand, combination is the method of selecting or arranging objects or numbers from a group of objects or numbers where order does not matter. The number of combinations of n objects taken r at a time is determined by the following formula: C(n , r) = n!/[r!(n - r)!]

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Answer 2

Answer:

Step-by-step explanation:

Because the order of the first three finishers does not make a​ difference, the trifecta involves permutations


Related Questions

Function f, graphed below, is NOT an invertible function.

To which intervals could we restrict the domain of f to make it an invertible function?
Choose all answers that apply:

A. 1 ≤ x ≤ 6
B. 0 ≤ x ≤ 8
C. -8< x < -4

Answers

The answer would be B

three boys have a total of 24 apples. the littlest boy has 2 times more than the second boy. the second boy has 2 less than the first boy. how much has all the boys

Answers

Each boy has apples respectively 11, 5½,7½

There are total 24 apples.
We have to find that how many Apples each boy have .
Littlest boy have 2 times more than the second boy.
And second boy has 2 less than first boy .
First we have to calculate equation for that .
Littlest boy have 2 times the the second boy.
Let littlest boy have apples = x
So, second boy have apples = x/2
Now, here it is given that,
Second boy has 2 less than first boy .
So, first boy has apples = (x/2)+2
Now sum of all apples = 24.
So, we have to add all equations to find the value of x .
x+x/2+(x/2)+2= 24. [X/2+x/2= x]
x+x+2=24
2x=22
x=11.
So, little boy has 11 apples.
Second boy has apples = x/2
=11/2= 5½
Second boy has 5 and ½ apples .
First boy has apples= (x/2)+2
= x/2)+2 = 5½+2= 7½
So, the first boy has 7 and ½ apples .

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Draw and label two triangles that could be proved congruent by ASA.

Answers

Two diagrams have been drawn that could be proved congruent by the ASA condition.

What exactly seems to be "triangle congruency?"Two triangles are said to be congruent when their three corresponding sides and angles are the same size.To appear identical, these triangles can be moved, rotated, flipped, and turned.They will align if they are moved.Congruence exists when two triangles meet the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

Two diagrams have been drawn that could be proved congruent by the ASA condition.(Refer to the diagram below)

Therefore, two diagrams have been drawn that could be proved congruent by the ASA condition.

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Find the surface area of water tower that is 40 feet tall and has a diameter of 30 feet. DO NOT ROUND YOUR ANSWER!

Answers

Answer:  5181

================================================

Work Shown:

[tex]SA = 2\pi r^2 + 2\pi r h\\\\SA \approx 2*3.14*15^2 + 2*3.14*15*40\\\\SA \approx 5181\\\\[/tex]

The cylinder has a surface area of about 5181 square feet.

Side notes:

The diameter of d = 30 leads to a radius of r = d/2 = 30/2 = 15.The picture is misleading. The conical top is ignored and we only are finding the surface area of the cylinder.

Answer:

Step-by-step explanation:

3768 feet. Is this right?

Mr. White drove 15 miles in July. He drove 8 times as many miles in September as he did in July. He drove 3 times as many miles in August as he did in September. How many miles did Mr. White drive in August?

Answers

The answer is 360 miles

so you do

15 times 8 and that equals 120

so then you also o 120 times 3 and the answer is 360 :>

you are so welcome

connie is ordering new carpet for a room 2.6m 3.8m 8.3m what is the area of the floor

Answers

The area of the floor on which Connie is laying the carpet is 9.88 m²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Area is the amount of space occupied by a two dimensional shape or object.

Connie is ordering new carpet for a room 2.6m*3.8m*8.3m. Hence:

Area of the floor = 2.6 m * 3.8 m = 9.88 m²

The area of the floor on which Connie is laying the carpet is 9.88 m²

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During a clearance sale at a sporting goods store,skateboards were marked down 30%.on saturday,additiobal 25% was taken off already reduced prices of skateborads originally cost 119.50,what was the final price ater all dicounts had been taken?round to the nearest cent

Answers

The final price after all discounts is $62.74.

What is the final price?

A discount is when the price of an item is decreased. An item becomes cheaper when a discount is applied.

Percentage is the fraction of an amount expressed as an amount out of 100. Percentage is a measure of frequency. The sign used to represent percentage is %.

Price of the skateboard after the first discount = (1 - discount) x initial price

(1 - 0.30) x 119.50

0.70 x 119.50 = $83.65

Price of the skateboard after the second discount = (1 - discount) x discounted price

(1 - 0.25) x $83.65

0.75 x $83.65 = $62.74.

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help needed please!!!
P is directly proportional to the square of Q

Given that when Q = 2, P = 24 find P when Q = 10

Answers

Given that when Q = 2, P = 24 the value of P when Q = 10 is 120.

How to calculate the proportion?

It should be noted that given that when Q = 2, P = 24, the constant will be;

= 24/2 = 12

Therefore, the value of P when Q is 10 will be:

= 12 × 10

= 120

The value of P is 120.

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What is the acceleration in this graph

Answers

2 m/s^2 is the acceleration in the given graph .

WHAT IS ACCELERATION?

Acceleration is the general term for any process where the velocity changes. There are only two ways to gain speed: by changing your speed or direction, or by doing both. This is thus because speed and direction both affect velocity.

CALCULATION

Since we formula for acceleration is =
(v - u) / t

where u represents initial velocity , v represents final velocity

  so acceleration from graph will be = (7 - 0)/3.5  

                                                            = 7/3.5

                                                            = 2 m/s^2

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HELP ASAP What should you substitute for y in the second equation (bottom equation) in order to solve the system by the substitution method?

4x+2y=10
3x+5y = 11

y=____​

Answers

Answer:

y = 1

if you need answer of x

x = 2

Step-by-step explanation:

Let's solve your system by substitution.

4x+2y=10;3x+5y=11

Step: Solve4x+2y=10for x:

4x+2y=10

4x+2y+−2y=10+−2y(Add -2y to both sides)

4x=−2y+10

4x/4 = −2y+10/4

(Divide both sides by 4)

x= −1/2y+5/2

Step: Substitute −1/2y+5\2 for x in3x+5y=11:

3x+5y=11

3(−1/2y+5/2)+5y=11

7/2y+15/2=11(Simplify both sides of the equation)

7/2y+15/2+−15/2=11+/−152

(Add (-15)/2 to both sides)

7/2y=7/2

7/2y/7/2 = 7/2/7/2

(Divide both sides by 7/2)

y=1

Step: Substitute1for y in x= −1/2y+5/2:

x=−1/2y+5/2

x=−1/2(1)+5/2

x=2(Simplify both sides of the equation)

Please Help me with number 13 IF LM=3,MH=k/9 and LH=5,find K

Answers

According to the question, the given parameters with different numbers for the line LH is as follows:

LM =3, MH = k/9 and LH =5

To calculate the distance of the line LH, the expression can be written as:

LH = LM+MH

Substitute the given parameters in the above expression:

5 = 3 + (k/9)

Now, solving above expression, we get the calculated value for the variable 'k':

k = 18 units

Hence, the calculated value for the variable k = 18 units.

How to define distance for the line?

Distance defines the length segment of the line in the coordinate geometry. It is respective length between the two points. In this, the line segment is divided into two parts.

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It is important to check your credit card bill each month. In the next section, you will carefully examine a credit card statement and learn how to look for errors. Most people would notice a major, expensive purchase that they did not make. A smaller, incorrect charge of $6, for example, might go unnoticed unless the entire statement was checked with a calculator. If one million credit card holders were each overcharged $6 each month for five years, what would be the total amount that debtors were overcharged, not including the extra
finance charges? million

Answers

The total amount that debtors are overcharged is 360 million dollars.

The unitary method is a technique to find the necessary value by multiplying the single unit value by finding the value of single unit value. We will use the same technique to solve this problem

According to question, $6 is charged per month for 5 years period from 1 million credit card holders

so, the total amount will be

1000000 × $6 × 12 × 5 = $360000000

Final answer: amount will be 360 million dollars

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Write an equation in slope-intercept form for the line.
(-3,12) and (15,0)

Answers

The equation in slope-intercept form for the line given (-3,12) and (15,0) is

[tex]y=-\frac{2}{3}x+ 10[/tex]

Given,

The points = (-3,12) and (15,0)

We know,

Slope of the equation m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substitute the values and find the value of m

m= [tex]\frac{0-12}{15--3}[/tex]

m=[tex]-\frac{12}{18}=-\frac{2}{3}[/tex]

Slope intercept form of the equation is y= mx + b

where b is y intercept form.

Consider one point and substitute the values.

[tex]0=-\frac{2}{3}(15)+b \\0=-10+b\\b=10[/tex]

Then the slope intercept form is

[tex]y=-\frac{2}{3}x+ 10[/tex]

Hence, The equation in slope-intercept form for the line given (-3,12) and (15,0) is [tex]y=-\frac{2}{3}x+ 10[/tex]

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What two numbers add to (-6) and multiply to (-9)?

Answers

Answer: not possible

Step-by-step explanation:

I think you're doing quadratics and if that's the case probably go and rework the problem because that doesn't work.

Solve for x.
3x - 8 ≤ 23 AND
- 4x + 26 ≥ 6

Answers

Answer:

1) x≤10.33

2) x≤5

Step-by-step explanation:

Question: 3x−8≤23

1) 3x≤31

2) x≤10.33

Question: -4x + 26≥6

1) -4x ≥-20

2) x ≤5

1) 3x < 23 + 8

3x < 31

x < 31/3

x < 10.33

x value will be more than equal to 10.33

2) -4x > 6 - 26

x > -20/-4

x < 5

x value will be less than and equal to 5

What is the probability of 8

Answers

It may be 5/6 (13.889%), if this isnt correct, please specify next time

There are 24 baseball teams in a league each team plays two matches against each of the other teams
work out the total number of matches played
PLSSSSSSSSSSSSSSSSSSSS URGENT

Answers

The total number of matches played will be 46. matches.

How to calculate the value?

From the information, there are 24 baseball teams in a league each team plays two matches against each of the other teams.

The total number of matches that will be played will be:

= (24 - 1) × 2

= 23 × 2

= 46 matches.

Therefore, the total number of matches played will be 46. matches.

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-10+5x=7x-4 what is the answer

Answers

Answer:

x = -3

Step-by-step explanation:

-10 + 5x = 7x - 4

      -7x    -7x

-10 - 2x = -4

+10          +10

- 2x = 6

÷-2   ÷-2

x = -3

The table shows the amount of money raised by each region. The four regions raised a total of $ ( 5 . 38 × 10 4 ) . Region Amount Raised ($) East 1 . 46 × 10 4 North 2 . 38 × 10 4 South 6 . 75 × 10 3 West ? How much did the West raise? Express the result in scientific notation. $__

Answers

The amount raised in the west in scientific notation is 8.650  × 10³.

How to find the amount the west will raise in scientific notation?

The four region raised 5.38 × 10⁴ dollars(53800)

According to the table,

Amount east raised = 1.46 × 10⁴ = 14600

Amount North raised = 2.38 × 10⁴ = 23800

Amount South raised =  6.75 × 10³ = 6750

Therefore, the amount raised in the west can be calculated as follows;

amount raised in the west = 53800 - 14600 - 23800 - 6750

amount raised in the west = 8650

amount raised in the west = 8.650  × 10³

Therefore, the amount raised in the west in scientific notation is 8.650  × 10³.

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Let g be a reflection in the x-axis and a vertical stretch by a factor of 3, followed by a translation 4 units down and 1 unit right of the graph of f(x)=|x|

Answers

g(x) = -3|x-1| - 4

Explanation:
g(x) = -f(x) to reflect it over the x-axis.
-f(x) = -3|x-1|-4, so g(x) = -3|x-1| - 4

Question 7 of 10
Which of the following lists of ordered pairs is a function?
OA. (-1, 2), (2, 3), (3, 1), (2, 5)
B. (2, 5), (3, 6), (2,1)
O C. (2, 5), (3, 6), (6,9)
O D. (1, 2), (4, 0), (3, 5), (4, 3)
SUBMIT

Answers

The option (B) (2, 5), (3, 6), (6, 9) is a function.

Function:

Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

"f(x) = ... " is the classic way of writing a function.

For the given situation,

The list of ordered pairs are given in option.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

According to the definition, the ordered pair should not have same x value.

Thus in option B (2, 5), (3, 6), (6, 9), each input is related to exactly one output.

Hence we can conclude that the list of ordered pairs of option (B) (2, 5), (3, 6), (6, 9) is a function.

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Point A is (2,-1) and Point B is (4,3)
(2,-1),(4.3) find the distance

Answers

The distance of AB is 2√5.

Given that the point A is (2,-1) and point B is (4,3).

The distance formula gives us the shortest distance between the given two points in a plane of two dimensional.

The given points is point A(x₁,y₁)=(2,-1) and point B (x₂,y₂)=(4,3).

Now, we will use the distance formula to calculate the distance that is D=√(x₂-x₁)²+(y₂-y₁)².

Further, we will substitute the given values in the above formula, we get

D=√(4-2)²+(3-(-1))²

D=√2²+(3+1)²

D=√2²+4²

D=√4+16

D=√20

D=2√5

Hence, the distance of AB from the given points point A is (2,-1) and point B is (4,3) is 2√5.

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WILL GIVE BRAINLIEST X THANKS !
REALLY URGENT

Write each subtraction equation as an addition equation.

a - 9 = 6

p - 20 = -30

z - (-12) = 15

x - (-7 = -10

Answers

The subtraction equations written as addition equations are

a + (-9) = 6

p + (-20) = -30

z + 12 = 15

x + 7 = -10

Writing an Equation

From the question, we are to write each of the given subtraction equation as an addition equation

a - 9 = 6

This equation written as an addition equation is

a + (-9) = 6

p - 20 = -30

This equation written as an addition equation is

p + (-20) = -30

z - (-12) = 15

This equation written as an addition equation is

z + 12 = 15

x - (-7) = - 10

This equation written as an addition equation is

x + 7 = -10


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Of young workers aged 18 to 25,71 % all paid by the hour. If two people are randomly chosen out of a group of 100 young workers, what is the probability that exactly one is paid by the hour?

Answers

42%  is the probability that exactly one is paid by the hour.

In statistics, what does a probability mean?

The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic

P( exactly one paid by hour ) =

[tex]\frac{71}{100} . \frac{29}{100} + \frac{29}{100} . \frac{71}{100} = \frac{2059 + 2059}{10000}[/tex]

[tex]\frac{4118}{10000} = 42%[/tex]%

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Refer to ®R .
Name the center of the circle.

Answers

The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter.

What is the Center of the Circle?

A circle is a two-dimensional closed figure in which the set of all points in the plane is equidistant from a given point known as the "centre."

The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter. The radius of a circle is the distance from the center to any point on its circumference that is always the same.

The center of the circle that is internally tangent to all three triangle sides; the orthocenter, the intersection of the triangle's three altitudes; and the nine-point center, the center of the circle that passes through nine key triangle points.

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Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, and 4. The y circle contains the numbers 2, negative 1, and 3. Arrows map numbers from x to numbers from y. There are arrows going from 6 to 3, from negative 1 to 2, from negative 1 to negative 1, and from 4 to 3. No, because there is an input value with more than one output value No, because there is an output value with more than one input value Yes, because each input value has only one output value Yes, because each output value has only one input value

Answers

each input is mapped into only one output, then this relation is a function.

The correct option is "Yes, because each input value has only one output value"

Is the relation a function?

A relation maps elements from a set (called the domain, which is the set of the inputs) into elements from another set (called the range, which is the set of the outputs). Such that these mappings generate coordinate pairs (x, y) or (input, output)

A relation is a function only if all the elements in the domain are mapped into only one value in the range.

On the given relation, we have the coordinate pairs:

(6, 3)

(1, 2)

(-1, -1)

(4, 3)

So we can see that each input is mapped into only one output, then this relation is a function.

The correct option is "Yes, because each input value has only one output value"

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Answer:

C. Yes, because each input value has only one output value

Step-by-step explanation:


Write an explicit formula for each arithmetic sequence. 62,59,56,53, . . .

Answers

The explicit formula of arthmetic sequence is [tex]a_{n}[/tex] = a + (n-1)d

Here is an explicit formula of the sequences 62, 59, 56, and 53...

  [tex]a_{n}[/tex] = 62 + (n-1)(-3)

In the formula, n is any term number and [tex]a_{n}[/tex] is the nth term.

This formula allows us to simply plug on the number of the term we are interested in, and we will get the value of that term.

In order to find the fifth term, for example, we need to plug n = 6

     [tex]a_{6}[/tex] = 62 + (6-1)(-3) = 62 + 5× -3

      = 62- 15

      = 47

In this way, we can find any term by using the explicit formula of an arithmetic sequence.

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A dragonflies wings beat 41 times per second. How many times do they beat in a minute

Answers

2460s

Explanation: 41 x 60

Use the substitution method (show your work and good luck!)

x+y=2
x-y=-10

Answers

So x+y = 10 ....(i
x-y= 2....(i)
From (ii) x= y + 2
Substituting in (i), we have
y + 2 + y = 10
= 2y + 2 = 10
= 2y = 8
→V=
4 and x =
6

Please resolve it and list the steps the simplest way possible, thanks

Answers

Using the graph of g we get (a) value of function g at x=0 is 5

(b) [tex]\lim_{x \to \00} g(x)[/tex] or limit of g(x) at x=0 does not exist

(c) value of function g at x=1 is 4

(d) [tex]\lim_{x \to \11} g(x)[/tex]  or  limit of g(x) at x=1 is 4

What is limit of a function how can limit be interpreted using graph of that function?

Limit : Limit is the value that a function output approaches as the input  approaches to a certain value.

For any function g(x) ,[tex]\lim_{x \to \22} g(x)[/tex] means that the value g(x) approaches as the x approaches to 2 .

From any graph we can easily see that to what value g(x)=y  on the curve is approaching when the x  is approaching to some value on x axis and if the graph is breaking on the value where x is approaching then the limit does not exist for that value of x.

For given graph

We can see value of value of function g at x=0 is 5 and value of function g at x=1 is 4

As the graph is breaking on x=0 into two functions then [tex]\lim_{x \to \00} g(x)[/tex] or limit of g(x) at x=0 does not exist

As the graph is not breaking at x=1 or we can say that graph of g(x)is approaching to 4 as x approaches to 1 then   [tex]\lim_{x \to \11} g(x)[/tex]  or  limit of g(x) at x=1 is equal to g(1) that is  4

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