There are 10 players on the swim team. How many ways can the coach
select 3 people to swim in the relay?
Answers
The coach can select 3 people to swim in the relay in 120 ways.
What is combination?'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'
According to the given problem,
Number of players = 10
Number of people to be selected = 3
We know,
[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players
r = Number of players to be selected
Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]
= [tex]\frac{10!}{3!*7!}[/tex]
= 120 ways
Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.
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Related Questions
In a summer camp there is a ratio of 24 girls to 16 boys. How many are there in a group in total? Express the ratio in 3 different ways.
Answers
Answer:
See the forms below
Step-by-step explanation:
Given data
24 girls to 16 boys
1. Proportion
24 Girls :16 Boys
2. Fraction form
=24/16
=3/2
3. Word form
24 girls to 16 boys
What is the product?
Answers
Answer:
-10d⁴ + 17d²s - 6s²
Step-by-step explanation:
Multiply using FOIL
First
-2d² * 5d² = -10d⁴
Outer
-2d² * -6s = 12d²s
Inner
s * 5d² = 5d²s
Last
s * -6s = -6s²
-------------------------
Together
-10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms
-10d⁴ + 17d²s - 6s²
From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)
Answers
Answer:
Domain(-4,4) and Range:(-3,0)
Step-by-step explanation:
Because the graph goes through - 4 and 4
The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's
Answers
Answer:
end behavior
Step-by-step explanation:
What is 1 5/7 - 1 2/5
Answers
Answer:
the answer to the question is = -9/35
How can you solve for X in the proportion of7/8 equals X/24
Answers
Answer and Step-by-step explanation:
The last answer choice is correct.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x
The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.
[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]
7 × 24 = 8x
168 = 8x
21 = x
#teamtrees #PAW (Plant And Water)
can someone help please, giving brainlist to anyone who answers <3
Answers
Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?
Answers
Answer:
18 gallons
Step-by-step explanation:
First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.
PLEASE HELP ME WITH 27,28 and 29
Answers
28. 15
29. 4
Step by step below
what is the range of the function graphed below?
i honestly have no idea please help
Answers
Answer:
C
Step-by-step explanation:
The range of a graph is how far the graph goes up and down. The lower boundary is easy, as we can see that the left side of the line goes down forever, so it is negative infinity. Looking at the top of the graph, we can see that the graph never goes past y=2. So the answer is:
-∞<y<2
Question 1 (1 point)
Find the probability of the pointer landing on a new house.
New Car
New House
60 120
$10,000
New Boat
Оа
1
6
Ob
1
3
Ос
60
Od
1
Ā
Answers
Answer:
[tex]P(New\ House) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]P(New\ House)[/tex]
This is calculated as:
[tex]P(New\ House) = \frac{New\ House}{Total}[/tex]
From the attachment, we have:
[tex]New\ House = 60^o[/tex]
[tex]{Total}= 360^o[/tex] --- total angle in a pie chart
Note that the measurements must be converted to degrees (if not already in degrees).
So, we have:
[tex]P(New\ House) = \frac{60}{360}[/tex]
Simplify
[tex]P(New\ House) = \frac{1}{6}[/tex]
hrs 45 min 67+ hrs 3. min 67
Answers
Answer:
hrs 50 min 14
Step-by-step explanation:
hrs 45 min 67 = hrs 46 min 7
hrs 3. min 67 = hrs 4 min 7
Total
hrs 46 min 7
+ hrs 4 min 7
————————
hrs 50 min 14
Write the names of all the months that have 31 days
Answers
Answer:
January, March, May, July, August, October, and December
please help me and thank you :)
Answers
Answer:
x=8
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
16 = 1/2 (4) x
16 =2x
Divide each side by 2
16/2 = 2x/2
8 =x
The height is 8 units
How do you do this ?
Answers
Answer:
the answer is- g= 72/d minus f/d
can someone help me with this math problem
Answers
Answer:
150 degrees
Step-by-step explanation:
8x-10=3x+90
solve for x in calculater
x = 20
Substitute:
3(20)+90 = 150
Answer:
Step-by-step explanation:
8x - 10 = 3x + 90
5x - 10 = 90
5x = 100
x = 20
8(20) - 10 = 160 - 10 = 150
Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?
The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.
Answers
Answer:
the third option
Step-by-step explanation:
what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in
Answers
Answer:
311.01 in^3
Step-by-step explanation:
Volume of cylinder = pi*r^2*h
Volume of cylinder = pi*9*11=311.01 in^3
Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function
Answers
Answer:
No solution is possible
Step-by-step explanation:
You failed to provide the function.
This question cannot be answered,
No, 24 is not a possible output value.
The domains are -2, 0, 3, and 11.
The range is -1, 4, 14, and 38.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function is given in the figure.
The outputs are -1, 5, 14, and 38.
The domain of the function is -2, 0, 3, and 11.
The range of the function is -1, 5, 14, and 38.
Thus,
24 is not a possible output value.
Domains are -2, 0, 3, and 11.
Range are -1, 4, 14, and 38.
Learn more about functions here:
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Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000
Answers
Given:
Distance between two villages = 14 km
Map scale = 1:25000
To find:
The distance between the two villages on the map.
Solution:
Let the distance between the two villages on the map be x.
Map scale is 1:25000. So,
[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]
[tex]x=\dfrac{1}{25000}\times 14[/tex]
[tex]x=0.00056[/tex]
Therefore, the two villages are 0.00056 km apart on map.
m (slope) =
b ( y - intercept) =
x - intercept =
Answers
Answer:
Step-by-step explanation:
m = - 2
b = 4
x - intercept = 2
Answer: The domain for f(x) is all real numbers GREATER than equal to 3
Answers
Answer:A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Pls urgent Will mark brainiest
Whats 2+2
Answers
Answer:
4 haha lol lol
Step-by-step explanation:
2+2 is 4 lol
What is the slope of the line
Answers
Answer:
-3
Step-by-step explanation:
y1-y2/x1-x2 = slope
Plug in coordinates (-1,0) and (0,-3)
-3-0/0-(-1)
-3/1
-3
Answer:
-3
Step-by-step explanation:
Pick two points on the line
(-1,0) and (0,-3)
You can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3-0)/(0- -1)
= (-3-0)/(0+1)
= -3/1
= -3
x^(2)+x-20
splitting the middle term
Answers
Here is a way you may not have been taught....
(x + a)(x + b) = x^2 + (a + b)x + ab
So you need to find two factors of -20 that add up to +1
-4 x 5 = -20 and -4 + 5 = 1. Perfect
x^2 + x - 20 = (x - 4)(x + 5)
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.
Answers
Answer:
Number of milk chocolate in beg = 56
Step-by-step explanation:
Given:
Probability of randomly choosing a dark chocolate = 3/8
Number of dark chocolate = 21
Find:
Number of milk chocolate in beg
Computation:
Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate
Number of milk chocolate in beg = 21 / [3/8]
Number of milk chocolate in beg = 21[8/3]
Number of milk chocolate in beg = 7[8]
Number of milk chocolate in beg = 56
A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192π m 3 . Round your answers to two decimal places.
Answers
Answer:
that is the procedure above
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Answers
Answer:
1140 square inches
Step-by-step explanation:
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Area of a Trapezoid
= 1/2(b1 + b2)h
b1 =
b2 =
h =
Hence, 1/2 (50 + 45) × 24
= 1/2 × 95 × 24
= 1140 Square inches
Write an equation of the line that goes through the points (-2,-2) and (-4,-4).
PLEASE ANSWER
Answers
y=x
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
Y=x
Step-by-step explanation:
it's a straight line passing by the center (0,0) at 45°
You can tell because Y is equal to X for every value of X and the points you posted fall in this case.
What is the greatest common factor of 4 - 6а?
Answers
Answer:
GCF (4 ,6) = 2
Greatest common factor (GCF)
Step-by-step explanation: