Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
[tex]n = 15[/tex] --- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
We have:
[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]
[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]
Simplify
[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]
[tex]^{15}C_{10} = \frac{360360}{120}[/tex]
[tex]^{15}C_{10} = 3003[/tex]
Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
We have:
[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]
[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]
Solve each factorial
[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]
[tex]^{15}P_{10} = 10897286400[/tex]
Solving (c) Ways of choosing at least 1 woman
We have:
[tex]Men = 10[/tex]
[tex]Women = 5[/tex]
Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman
[tex]At\ least\ 1\ woman = 3003 - 1[/tex]
[tex]At\ least\ 1\ woman = 3002[/tex]
If 4% of a number equals 3, find 8% of that number.
Answer:
I beleive your answer would be 6
8% of 75 is 6 and 4% of 75 is 3
given the numbers 36 60 and 72 write the numbers as a product of their prime factors
Answer:
36:2 times 2 times 3 times 3.
60:2 times 2 times 3 times 5
72:2 times 2 times 2 times 3 times 3
Step-by-step explanation:
just keep in mind that when it says times it means multiplication sign.
hope this helps
All real numbers greater than or equal to -7 and less than 2
Answer:
-7=<x<2
Step-by-step explanation:
Determine the average percent of change from 1960–2000
1960 1970 1980 1990 2000
$0.25 $0.36 $1.19 $1.35 $1.26
show your work
Answer:
1970 +46%
1980 +232%
1990 +14%
2000 -8%
Step-by-step explanation:
10 ft
А
- “不
6 ft
v
10 ft -
12 ft
B
C | 12 ft
4 ft
4 ft
Answer:
58
Step-by-step explanation:
case I added it and I m right
Sometimes Zach's teammates arrive late to basketball practice. The following dot plot shows how many times each teammate was late to practice last week.
Find the mean number of times Zach's teammates were late to practice last week.
BRAINLIEST!!!!!
Answer:
3.5.
Step-by-step explanation:
Zach's teammates were late to practice last week. According to Khan Academy the answer is 3.5.
The mean number of times Zach's teammates were late to practice last week is 3.5
What is dot plot?A dot plot visually groups the number of data points in a data set based on the value of each point.
Given that, the following dot plot shows how many times each teammate was late to practice last week.
We need to find mean,
Total elements = 2 + 4 + 4 + 4 = 14
Data points = 4
Mean = 14 / 4 = 3.5
Hence, the mean number of times Zach's teammates were late to practice last week is 3.5
Learn more about dot plots, click;
https://brainly.com/question/22746300
#SPJ2
What is (-22 times by 7) +(0.1 x 0.9) = ??
Answer:
-153.91
slkdcbfhvwgehfv very professional
What is the equation of the line of best fit?
A.
y = 5x + 25
B.
y = x + 25
C.
y = 5x + 5
Answer:
y=5x+25
Step-by-step explanation:
The slope is (30-25)/(1-0)=5.
Also, the y-intercept is 25.
So, the equation is y=5x+25.
help meeeeeeeeeeeeewweeeeew
Answer:
Homer is correct. ( also your teacher is pretty cool to have them on an assignment)
Step-by-step explanation:
2 negatives cancel eachother out. Negative 4 times negative 10 equals 40.
For a class party Mr. Lawson brought a bag of candy containing 32 pieces of candy. If Mr. Lawson gives away 7/8 of the bag , how many pieces of candy are left over?
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
9514 1404 393
Answer:
slope: 10 m/srepresents speed in meters per secondStep-by-step explanation:
The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.
Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...
m = (100 m)/(10 s) = 10 m/s . . . . slope of the line
The ratio of distance to time is given the name "speed", so ...
the slope represents the sprinter's speed in meters per second.
eric purchased n notebook. they were 4 dollars each. write an equation to represent the total cost c that eric paid.
Answer:
N = 4
Step-by-step explanation:
3) Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many
inches is this?
Answer:
128 inches
Step-by-step explanation:
Answer:
128 inch
Step-by-step explanation:
The answer would be 128 inches since:
1 ft= 12 inches
10x12= 120
And you can't forget about the 8
120+8= 128 inches
Hope this helps
I will try and give Brainliest
Answer:
[tex] \boxed{A. \: 134 \: in³} [/tex]
Explanation:
Volume of a cone: ⅓πr²h.
Where r is the radius, and h is the height.
The diameter is twice (2 times) the radius.
(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =
256 / 3 π – 128 / 3 π =
128 / 3 π =
42 ⅔ π = 134.041287... ≈ 134 in³
The simplest form of the expression -2x^2(x-5)+x(2x^2-10x)+x is ?
pls help me giving brainless.
PLEASE HELP- ITS URGENT-
Answer:
x = 20°
Step-by-step explanation:
here's your solution
=>. we know that, sum of two opposite interior angle is equal to one exterior
=> (3x)° + (3x -20)° = (7x - 40)°
=> 6x - 20° = 7x - 40
=> - x = - 20
=> x = 20
hope it helps
Answer:
20°
Step-by-step explanation:
C.20 is the correct answer.
MIDDLE SCHOOL MATH On the subway 8 out of 10 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do NOT have a briefcase?
Answer:
140
Step-by-step explanation:
If 8 out of 10 are carrying a briefcase, that means 2 out of 10 are not carrying one.
Use a proportion to find how many don't have a briefcase with 700 people
Let x represent the number of people without a briefcase:
[tex]\frac{2}{10}[/tex] = [tex]\frac{x}{700}[/tex]
Cross multiply and solve for x
10x = 1400
x = 140
So, 140 people do not have a briefcase
Answer:
140
Step-by-step explanation:
8/10 people, there's 700 people
10 multiplied by 70 =700.
2 people dont have briefcases = 2 times 70=140
Where is the blue point on the number line?
Answer:
-6 pick mine as brainlest
Step-by-step explanation:
Help please!! | No links!!
What is the measurement of the angle below?
Answer:
210 degrees
Step-by-step explanation:
The line is pointing at 210 degrees. You just have to turn the picture.
PLEASE please help me I can't deal with math anymore it's so confusing
I need help please ????!!!
Rosa made a mosaic wall mural using 44 black tiles, 30 blue tiles and 26 red tiles. Enter a percent to represent the number of red tiles in the mural. The number of red tiles in the mural represents ___%
26/100
Step-by-step explanation:
26%
44+30+26=100
26/100
0.26
26%
Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².
Explain the parts of an algebraic expression and what algebraic expressions can represent.
Step-by-step explanation:
Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.
Answer:
Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.
Step-by-step explanation:
Its The sample
EDG
Hey please help with this one I promise I’ll mark you brainliest real anwsers tho :3
Answer:
Area is 364
Step-by-step explanation:
A parallelogram's area is equal to base times height. So it doesn't depend on the angle at all, as long as the base and height are constant.
That means that the area of the parallelogram on the left is the same as if it was a rectangle (an extension of the rectangle part on the right).
This brings us to the answer - the area is the same as the area of a 14x26 rectangle.
14*26=364
Alternatively, let's compute the area of the rectangle on the right:
18*14 = 252
And the area of the parallelogram
14 * (26-18) = 14*8 = 112
And the area of the composite figure is 252+112 = 364
Help it’s due right now
Answer: (0.120)(x) = 78 ; x is 65
Step-by-step explanation:
What is the value of n??
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Answer:
73.6°
Step-by-step explanation:
The whole is the sum of the parts:
n = 44.5° +29.1°
n = 73.6°
Answer and Step-by-step explanation:
To find the value of n, we must add the two given angles first.
Why?
We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.
29.1 + 44.5 = n
Add.
73.6° = n
The value of n is 73.6°.
#teamtrees #PAW (Plant And Water)
One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is
Answer:
1st number = 17
2nd number = 23
Step-by-step explanation:
x = 1st number
y = 2nd number
x = y - 6
6x = 10 + 4y
substitution method:
6(y - 6) = 10 + 4y
6y - 36 = 10 + 4y
2y - 36 = 10
2y = 46
y = 23
find 'x':
x = 23 - 6
x = 17
What is the product of the polynomials below?
(4x^3+8x)(x^2-3)
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Answer:
4x^5 - 4x³ - 24x
Step-by-step explanation:
Distribute
[tex](4x^3+8x)(x^2-3)[/tex]
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
Distribute
[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
Distribute
[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]
[tex]4x^{5} -12x^{3} +8x^{3} -24x[/tex]
Combine like terms
4x^5 - 4x^{3} - 24x
