Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
More about the permutation and the combination link is given below.
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integers between -2 and +3
Answer:
-1, 0, 1, 2,
Step-by-step explanation:
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]
Also,
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is the angular speed
So,
[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
An item costs $386 before tax, and the sales tax is $15.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Sales tax rate = 3.94%
Step-by-step explanation:
[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]
Sales tax rate = 0.039378... ⇒ 3.94%
Pls pls help it would mean so much!!! The function is f(x)=x^2+4x-1
Tyyyyy
Answer:
the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
B
Step-by-step explanation:
first we take the first derivative
x²+4x-1 = 2x+4
set this equal to 0 and solve
2x+4= 0
2x= -4
x= -2
we then have two intervals
(-∞,-2) u (-2,∞)
to find out whether something is decreasing on increasing on these intervals just plug in any number in the interval
if the result is positive it's increasing
if it's negative it's decreasing
Let's plug in x= -4 for the interval (-∞, -2)
2(-4)+4= -4
it's negative so it's decreasing on this interval
let's then plug in x=0 for the interval (-2,∞)
2(0)+4= 4
this is positive so it's increasing on this interval
So the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
which is equal to to B
Which of the following could not be the graph of a function of X?
Answer:
D
Step-by-step explanation:
A function cannot have to values of y for a same x, and he only which have it is the graph D
carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
[tex]f(t) = -t^2 + 4t[/tex]
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
Darrel receives a weekly salary of $435. In addition, $12 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 189 items?
Answer:
2703
explanation:
12×189=2268
2268+435=2703
Darrel earned 1503 dollars that week.
How to count no. of digits from a certain no. to a certain no. ?Suppose we are given how many no. are there from 224 to 358.
To find do the following (358 - 224 + 1) = 135 numbers.
According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.
Here excess of 100 items means after 100 which is 101.
He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.
Given for each item he is paid 12 dollars.
∴ For 89 items he is paid (89 × 12) dollars which is
= 1068 dollars.
So in that week Darrel earns total of (435 + 1068) dollars.
= 1503 dollars.
Learn more about these types of problems here :
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Help me please and thank you
Step-by-step explanation:
i dont know i guess we'll never know
A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help
Answer:
The students went on vacation for average 40 days.
The high school students went for more days than college students.
Step-by-step explanation:
The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.
which parallelogram (if any) is a rectangle by what property
Answer:
c
Step-by-step explanation:
i dont know how to explain it but yeah
Answer:
c
Step-by-step explanation:
Question 4 of 10
The mean of 100 numerical observations is 47.83. What is the value of the
sum of all 100 numbers?
O A. 47.83
O B. 4783
O C. 0.4783
O D. 478.3
O E. 4.783
Answer:
B; 4,783
Step-by-step explanation:
To find the sum, we have to multiply the number of observations by the mean
Therefore, we simply have the sum calculated as follows;
100 * 47.83 = 4,783
Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3
b) + =
c) 4x = 2y
Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI
Answer:
Step-by-step explanation:
Voir le diagramme ci-attaché.
1) Distance EG
À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25
=> EG = sqrt(25) = 5
2) Distance SO
Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5
Encore, à l'aide du même théoreme,SE^2 = SO²+EO²
SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36
SO = sqrt(36) = 6 QED
3) Volume de la pyramide
V = (Aire de la base * hauteur ) /3
= (EF * FG) * SO /3
= (4*3) * 6 /3
= 24 cm³
Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?
what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
Confused on this work
We know that :
⊕ Sum of the interior angles in a Pentagon should be equal to 540°
⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°
⇒ (5x)° = 540° - 180°
⇒ (5x)° = 360°
[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]
⇒ x° = 72°
If i get 8 dollars an hour , and work 5 hours and work 3 days a week , how much money did i make that week
Answer: $120
Step-by-step explanation:
8x5=40 40x3=120
you multiply 8 and 5 then multiply the answer to 3 and you get 120
I need help with my geometry work!
Answer:
43 degrees
Step-by-step explanation:
Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9
Answer:
9y + 13
Step-by-step explanation:
a number would best represent as a variable (doesn't matter which letter)
plus thirteen would represent an addition to 13
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?
Answer:
120
Step-by-step explanation:
i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120
Complete the angle addition postulate for the following angle
Answer: AOB
This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.
What is sin 62°?
62
17
8
28°
90°
15
O
A.
B.
O O
c.
O
Answer:
The letter C. 15/17
Answer:
sin = opposite/hypotenuse.
the hypotenuse is 17, adjacent is 8 and opposite is 15
15/17 is sine of 62. (C is the correct answer.)
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED
explaining your answer = brainliest
The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?
answer has to be in SIMPLEST form
Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angleStep 1: Plug in for C and r.
A = [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]Step 2: Solve.
A = [tex](\frac{1}{10})4\pi[/tex]A = [tex]\frac{2}{5} \pi[/tex]Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-16-(-6))/(4-2)
m=(-16+6)/2
m=-10/2
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y+6=-5x+10
y=-5x+10-6
y=-5x+4
In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degrees 130 degrees 30 degrees
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!