A cross country race has 45 runners competing for first through fourth place. Complete the statement describing this situation. This is an example of a There are possible arrangements of first through fourth place winners.
Answers
"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
If a cross country race has 45 runners competing for first through fourth place, this statement is an example of a combination.
Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;
nCr = n!/(n-r)!r!45C4 = 45!/(45-4)!4!
45C4 = 45!/41!4!
45C4 = 45*44*43*42*41!/41!*4!
45C4 = 45*44*43*42/4*3*2
45C4 = 3,575,880/24
45C4 = 148,995
Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
Learn more on combination here: https://brainly.com/question/11732255
answer: permutation and 3,575,880 (plato/edmentum)
Related Questions
Simplify (5^3)^6 leaving your answer in index form.
Answers
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
unit 5 relationships in triangles homework 1 triangle midsegments
Answers
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
Learn more about midsegment theorem on:
https://brainly.com/question/11482568
Helppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
13+(12-x)+14+(20-x)+x+(15-x)+8=74
solve for x
x=4
BRAINLIEST NO LINKS
Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
A: He did not make any errors.
B: Step 1: He wrote −4.4 incorrectly as + 4.4.
C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.
Answers
In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.
So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7
In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.
So the original problem is −8.3 + 9.2 − 4.4 + 3.7 which results 0.2 but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9
Actually the answer is B. cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.
Help help help help help
Answers
Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursday evening she earned $25 babysitting her neighbor's children. On Friday she spent $42 on pizza for her friends. She earned $20 dollars on Saturday raking leaves. What is her bank account balance on Sunday? ?
Answers
Answer:
$8
Step-by-step explanation:
After the shoe purchase, her balance was $50 -45 = $5.
After depositing her babysitting earnings, her balance was $5+25 = $30.
After buying pizza, her balance was $30 -42 = -$12.
Assuming no overdraft charge, her balance after depositing her earnings was ...
-$12 +20 = $8
Sally's balance on Sunday was $8.
A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r
Answers
Answer: The value of R is 6.
Explanation: I recommend you go to these two links for an easier understanding:
https://www.wikihow.com/Find-the-Y-Intercept
https://www.wikihow.com/Find-the-X-Intercept
I will give brainlist
Answers
no clue
Step-by-step explanation:
...................
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answers
Answer:
Camille's puppy becuase it gains about half a pound per week
Step-by-step explanation:
Answer:
Camille's puppy because it gains about half a pound per week
Step-by-step explanation:
brainliest please?
Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0
Answers
Step-by-step explanation:
when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.
-9/-15 = 3/5
x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, when we multiply the 3 fractions again, we get
3/(5x⁶y⁶)
which is the second answer option.
Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?
Answers
Answer: She'll have $17 left.
Step-by-step explanation:
4 * 10 = 40
40 - 17 = 23
Hope this helps!
Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10
Answers
Answer:
the answer is 4
Step-by-step explanation:
16×7= 112
112÷28=4
if z=3+i/3-i find the value of 1/z and z+1/z
Answers
This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.
Answers
The change in kinetic energy of the system is 200 J
Kinetic energy is the energy that an object possesses as a result of its motion.
It is given by:
Kinetic energy = (1/2)m[v - u]²
Where m is the mass of the object, v is the final velocity and u is the initial velocity.
Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:
Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J
The change in kinetic energy of the system is 200 J
Find out more at: https://brainly.com/question/12669551
Please answer this ASAP
Solve for x.
5x−3=13−3x
A: x=-2
B: x= -5
C: x=2
D: x=5
Answers
Answer:
c: x=2
Step-by-step explanation:
5x-3= 13-3x
+3 +3
5x=16-3x
+3 +3
8x=16
divide all of it by 8 and thats how you get your answer
what is the total number of edges on a rectangular prism
Answers
Answer:
12 edges
Step-by-step explanation:
A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.
Answer:
12
Step-by-step explanation:
Ricky has seven dollars and one cent.
How is that amount written using a dollar sign?
Answers
Answer:
$7.01
Step-by-step explanation:
Answer:
$7.01
Step-by-step explanation:
You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.
I need help answering asap!
Answers
Answer:
4 is. R=11.94 D= 23.88
5 and 6 I am not sure tbh
7 D=60.50 R=30.25
8 D=60 C=120
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
Answers
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
Identify the domain of the exponential function shown in the following graph :
Answers
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.
Answers
Answer:
Step-by-step explanation:
Consider the complex number 5 + 0.45i What is the real part of this complex number?
Answers
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A complex number in the form z = a + bi , then
the real part of z is a and b is the imaginary part
For 5 + 0.45i
where 5 is the real part
18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answers
Answer: 18:23
Step-by-step explanation:
i dont know how to do this stuff
im choosing brainliest
Answers
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
The triangle shown below has an ar
Answers
Answer:
a^2+b^2=c^2
C=7
b=?
a=4
LET B=x =
[tex] \sqrt{65 } [/tex]
Can some one help? This is sooooooo hard
Answers
Answer:
median is a hight of a triangle
Five Identical semicircles are arranged as shown.
Find the diameter of one circle
Answers
The diameter of one circle is 28 units
Find the diagram shown below:
Considering the semi-circle at the centre.
Let the unknown distance from the left be x:Let the unknown distance from the right be y:To get the value of "x"
x + 16 = 22
x = 22 - 16
x = 6
To get the value of "x"
16 +y = 22
y = 22 - 16
y = 6
Diameter of one of the circle = x + 16 + y
Diameter of one of the circle = 6 + 16 + 6
Diameter of one of the circle = 28
Hence the diameter of one circle is 28 units
Learn more on diameter of circle: https://brainly.com/question/23220731
PART B: Uber was also available for Mike to use to get home from the airport. Uber
does not have an initial fee; it charges $3.45 per mile. Which would be a better deal
the taxi or Uber for Mike's trip home?
Answers
Answer:
taxi
Step-by-step explanation:
you would take the taxi because it would cost less than Uber
Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental
Answers
Answer:
Longitudinal study
Step-by-step explanation:
Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.
Could y’all help me out with this?
Answers
Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
For more validation, refer to the attached image