n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
Answers
Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.
A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45
Related Questions
Determine what value(s) for the variable would make each algebraic
equation a true number sentence.
�2 = 81 is true for ____________________.
6� = 3� + 2� + � is true for ____________________.
� + 74 = � − 74 is true for ____________________.
Answers
Answer:
k calculate it how u see it
Fiona drove 489.75 miles on the freeway without any break. She took 7.5 hours. How
much was her average speed for the trip?
Answers
n - 5.5 = 8.3 please help ASAP
Answers
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}
Answers
All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.
The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.
There are two methods to represent the set and its elements that are:
Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,
so the set notation would be :
= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}
listing method: simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.The listing method: {2, 4, 8, 16, 32,64, 128, 256}\
Thus, the above mention set is all the elements of the set.
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Four times the sum of twice a number and -3 is less than times that same number
Answers
Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?
Answers
Answer:
9180
Step-by-step explanation:
9000*1.02
Answer:
There will be $8820 in Monico's account at the end of the one year period.
Step-by-step explanation:
9000*0.02 = 180
9000 - 180 = 8820
Have a nice day! :-)
help asap!!!!!!!!!!!!!!!
Answers
Answer:
Ray EA & Ray EC
(last one)
Step-by-step explanation:
Opposite rays make a 180 degree line.
For naming it, always start with the endpoint and then to the arrow.
Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.
Answers
Answer:
D. none
Step-by-step explanation:
to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.
Lawrence's check at Fresh Catchery is $23.09. In order to leave a 13% tip, how much should he pay? Round to the nearest cent.
Answers
Answer:3
Step-by-step explanation: 23.09 * 0.13 =3 rounded up
How did growers in the South attempt to rebuild their cotton market?
Produced more cotton
Raised the price of cotton
Hired more laborers
Sold their land
Answers
On a number line what is the distance between 16 and -25
Answers
Choose the function whose graph is given by:
у
AAAAA
ht
O A. y= cos(2x)
O B. y= cos()
O c. y = cos(4x)
O D. y= cos(54)
SUBMIT
Please help
Answers
Answer:
D cos (1/2 x )
Step-by-step explanation:
y = cos (x/2)
because from the graph x = 2pie
= cos pie = -1
The function whose graph is given by; cos (1/2 x )
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, the function must be having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,1), this means whichever function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(π) = -1, thus
y = cos (x/2)
because from the graph x = 2π
The function whose graph is given by; cos (1/2 x )
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plzzzzzzzzz helppppp
Answers
Answer:
The second and third boxes. m=-10/4 & -5/2 & the last one
Step-by-step explanation:
We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4
Answer:
The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4
Step-by-step explanation:
You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.
When you simplify, you get -5/2, the third option.
Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.
Please help me answer this question
Answers
Answer:
Step-by-step explanation:
ten students are chosen from a statistics class of 300 let x be the number who got an a in the class
An angle measures 85.2° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:Complementary angles are two angles whose sum is 90 degrees.
Let x represent one of the angles.
The other angle which is 84.2 degrees less would be x - 84.2.
Using this, we can write an equation.
x + (x-84.2) = 90.
Combine like terms: 2x - 84.2 = 90
Add 84.2 to both sides of the equation.
2x = 174.2
Divide by 2: x = 87.1
and x - 84.2 would equal 2.9. to check: does 87.1 + 2.9 = 90? yes.
Step-by-step explanation: Thats as close as its gonna it i think
Classify each number as rational or irrational and explain.
Error Occurred.. ⎯⎯⎯⎯√square root of 25 ⎯.⎯⎯ ⎯⎯√square root of 2 7,548,123
Answers
Step-by-step explanation:
√25 is 5 Rational Number.√27 is Irrational number.√548 is Irrational number.√123 is Irrational number.Consider the function f whose graph is shown below. Find f(-2)
Answers
Answer:
Step-by-step explanation:
See the picture below
Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)
Answers
a= 9/11 and b=7/10
now,
ab = (9/11)×(7/10)
=63/110.......
the value of ab is 63/110 when a = 9/11 and b = 7/10
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, the values of a and b are 9/11 and 7/10 respectively
thus,
ab = 9/11 * 7/10
simplifying it
ab = 63/110
Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10
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Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
Answers
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
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three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?
Answers
hksjhuja kanhshke kkajbevbeks jjsbbwne k
What is the answer to
(9)(-2)=
Answers
Answer:
-18
Step-by-step explanation:
9 x -2 = -18
You multiply like normal and then for the answer just add a neg sign if there is an ODD amount of neg signs in the overall problem and then add no neg sigh if there are an EVEN number of neg signs (they cancel out),...
Hope it helps,... Chow,...!
R(-6, 1), S(-3, -3)
Find the coordinates of the midpoint of a segment with given endpoints
Answers
Answer:
[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]
Step-by-step explanation:
We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:
[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:
x₁= -6 y₁= 1 x₂= -3 y₂= -3Substitute the values into the formula.
[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]
Solve the numerators.
-3 + -6 = -9 1 + -3 = -2[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]
Divide.
[tex]( - \frac {9}{2}, -1})[/tex]
The fraction can also be written as a decimal.
[tex](-4.5 , -1)[/tex]
The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).
Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?
Answers
Answer:
5.6 meters/secondsStep-by-step explanation:
140 : 25 = 5.6 meters/seconds
#AyoBelajarPicture provided above please help if can !
Answers
Answer:
10.1
Step-by-step explanation:
I just put in a calculator and got the answer.
plzzzz I need help
Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9
Answers
Geometric terms are terms used for describing geometric objects
The correct responses for the geometric term modeled by each object are as follows:
16. The geometric term modelled by the tip of the needle is a point
17. The figure modelled by he rail track are lines including; Parallel lines and intersecting lines
18. The figure modelled by the cloth is a plane with points
19. A table cloth models a plane
20. A partially opened newspaper models an angle, and two planes intersecting
21. Woven threads in a piece of cloth models intersecting lines
22.A knot in a string models a point on a line
Required:
To draw and model a figure for each relationship
Solution:
23. The required drawing of the model of line AB intersecting at Q and W is attached
24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached
25. The required drawing of the model of point Z(4, 2), R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached
26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]
The required drawing is attached
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Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answers
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
Answers
Answer:
3. 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
What is the solution to this equation?
4(4x + 1) = 3x - 46 - x) + 8
Answers
Answer: Hello There!................
x=-3.5
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
Help thank you
Which ordered pair is a solution to the system of inequalities?
{y>−2x+y<4
(−3, 5)
(0, 4)
(−2, −3)
(1, 3)
Answers
Answer:
(1,3)
Step-by-step explanation:
3 > -2(1)+ 3 < 4
3 > -2 + 3 < 4
3 > 1 < 4
If it takes a fourth of a cup of oil to make 10 cookies, how much oil would it take to make 50 cookies? ?
Answers
Answer:
5/4 or 1 1/4 cup of oil
Step-by-step explanation:
Let's make a ratio. 1/4:10. We need to multiply 10 by 5 to get 50 cookies and do the same on the other side of the ratio. 1/4x5=5/4 or 1 1/4 and 10x5 is 50. So our final ratio would be 5/4:50. Hope this helped.
