Formula for permutation is:
[tex] \boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }[/tex]
Calculation,Plug in the values:
Required number of ways = ²C7
n = 7r = 5[tex] \sf \frac{7!}{5!(7 - 5)!} [/tex]
[tex] \sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!} [/tex]
[tex] \sf \frac{7 \times 6 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2} = 21[/tex]
Thus, The players can be selected in 21 different ways!!~
Here one player cannot be repeated so repeating is not allowed.
Hence we use combination heren=7r=5Total ways
[tex]\\ \rm\hookrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Put values[tex]\\ \rm\hookrightarrow ^7C_5[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!(7-5)!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!2!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7\times 6\times 5!}{5!(2)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7(6)}{2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{42}{2}[/tex]
[tex]\\ \rm\hookrightarrow 21ways[/tex]
Please help with math
domain and range of a linear function that models a real world situation
Answer:
1. the set of all real numbers from 0 to 80.
2. {80, 81, 82, 83, ..., 360}
Step-by-step explanation:
So we know based on the number of days the crew works, a certain amount of road will be completed. The amount of road is dependent on the number of days the crew works.
So, number of days crew works = independent variable = D
amount of road completed = dependent variable = L
Since the crew can work for at most 80 days, they can work from 0 to 80 days.
The first answer is the set of all real numbers from 0 to 80.
The length of roads is the function L = 2D + 200. You plug in the D variable as it asks for it. D's domain is from (0, 80).
So,
L = 2(0) + 200 = 200
L = 2(80) + 200 = 360
The answer is {80, 81, 82, 83, ..., 360}
Can I get some help!
Answer: See below
Step-by-step explanation:
The usage of passive income instead of collecting and saving your money without risking a loss through investments:
Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.
Passive income reduces your stress, anxiety, and fear of the future unless there are extremely high-risk investments.It allows you to pursue doing the things you love rather than what pays the bills.Passive income gives you the ability to live and work from anywhere.HELP I WILL MARK BRAiNLIEST
Answer:
B) a + 2(a - 3) = 15
Step-by-step explanation:
To see which equation has a = 7, we have to plug 7 into a each time until we find a satisfied equation.
A:
[tex]4(7)-4(14-7)=24[/tex] [tex]28-4(7)=24[/tex] [tex]28-28=24[/tex] [tex]0\neq 24[/tex]B:
[tex]7+2(7-3)=15[/tex] [tex]7+2(4)=15[/tex] [tex]7+8=15[/tex] [tex]15=15[/tex]Therefore, B is the correct answer.
A car travels 182 miles in hours 3 and 30 minutes. How many miles does it travel per hour?
Answer:
52
Step-by-step explanation:
Keiko tosses one penny and Ephraim tosses two pennies. What is the probability that Ephraim gets the same number of heads that Keiko gets?
Answer:
1/4 chance for Ephraim and 1/2 chance for Keiko
2.3x10^8 + 4.7x10^7 =
10^8 and 10^7 is the superscript in Canvas
Group of answer choices
27.7x10^7
2.77x10^8
6.6x10^15
None of the above
Step-by-step explanation:
both of a and b are correct but I don't know how...
1) What is the area of square of length 5cm?
2) The length and breadth of a rectangular garden are 25m and 2500cm
respectively. Find its perimeter.
Answer:
20 is my answer and the question is somehow confusing
Which of the following describes a correct method for solving the equation below?
−7/2n + 5 = −16
please help me answer this asap thank you
Two parallel chords of a circle, MN and PQ have lengths 12 cm and 16 cm. If the diameter of the circle is
20 cm, find the perpendicular distance between the chords.
Answer:
Distance between parallel chords is 14 cm or 2 cm. Hope this helps
Step-by-step explanation:
I need to increase the numbers of customers I talk to daily by 20%. I talk to an average of 8 customers per hour during an 8 hour shift so now I’ll need to talk to ____ customers per day”
Answer:77
Step-by-step explanation:Talk to 8 customers per hour, work 8 hours, so:Talk to 8*8 = 64 customers.
Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then64*1.2 = 76.8Rounding up, 77 is the answer.
Find the inverse function f -1(x) of the given function f(x).
f(x) = 6 - 0.75( 2x - 4 )
Answer:
Step-by-step explanation:
I really really need this. Please help. Thankyouuu!!!
Answer:
2. 131
3. 8
4. 69
Step-by-step explanation:
2.
√5607
=131
3.
10cm, √9cm, 8cm
4.
372−1300
=1369−1300
=69
Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 4 miles per hour faster when cycling than when walking. The total time for the round trip is 2 hours. Find her speed walking and biking. Set up an equation and solve
SHOW WORK PLS!!
Answer: Melissa's walking speed is 2mph. Her biking speed is 6mph
Step-by-step explanation:
Her total distance is 6 miles, because she walks 3 miles, and so the returning distance must also be 3.
Let her cycling speed (in mph) be x
Let her walking speed (in mph) be y
We know that x = y + 4
Since we know that S = D/T:
T = D/S
So her cycling time must be: T = 3/x
and her walking time must be: T = 3/y
since we know that x = y + 4, we can substitute this into her cycling time, and rewrite it as T = 3/y+4
we also know that 3/y+4 + 3/y = 2, because the problem says that the total time taken was 2 hours.
We simply need to solve this equation now:
3/y+4 + 3/y = 2
The LCD for y+4 and y is y² + 4y
so now we have:
(3y/y² + 4y) + (3y+12/y² + 4y) = 2
(6y + 12)/y² + 4y = 2
6y + 12 = 2y² + 8y
2y² + 2y - 12 = 0
Solve this using factoring:
2y² + 2y - 12 = 0
2(y² + y - 6) = 0
(y+3)(y-2) = 0
using ab = 0, then a or b =0:
y = -3, or y = 2
Since speed cannot be negative, our answer is 2 for y. So y, or the walking speed is 2mph. Since x = y + 4, we know that x = 6 mph
Melissa's walking speed is 2mph. Her biking speed is 6mph
Help me! Please.✅✅✅✅✅✅
Answer:
Yamateh kudasai
Step-by-step explanation:
hope it helps
if y=x(x+5)+6 find vertex and roots
Answer:
-5/2,-1/4
Step-by-step explanation:
Which of the two functions below has the smallest minimum y-value?
f(x) = (x - 13)4-2
g(x) = 3x3 + 2
Answer:
F has the smalled minimum value
Step-by-step explanation:
Which set makes the inequality m < -4 true
Answer:
To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation:
anyone pls help me in qn 6 pls
Answer:
Step-by-step explanation:
I don't know if this is what your looking for but the 38 cars that are 10 years old are 45.78 in percentage and the 5 cars that are more than 20 years are 6.02 in percentage.
(if you are asking how much more percentage to get from 6.02 to 45.78 its 39.76)
I really did not get the question but hope it help a bit.
Answer:
(A) 46% (B) 13%
Step-by-step explanation:
First we can find the percentage of cars that are at least 10 years old by dividing the amount that are 10+ years old by the total amount of cars
[tex]38/83= 0.45783[/tex]
when made into a percentage that is 46%
Now we can find the percentage of those cars that are 20+ years old by dividing the number of 20+ year old cars by our percentage
[tex]5/38=0.13157[/tex]
When made into a percentage That is 13%
Hope this helps! :)
Make [tex] u [/tex]the subject of formula
[tex] \frac{1}{v} + \frac{1}{u} = \frac{2}{f} [/tex]
Step-by-step explanation:
hello I hope this will help you.
due tonight help me out please
The average rate of change is the slope.
The slope is equal [tex]\frac{y2-y1}{x2-x1}[/tex], if we were to do that for each set of points, we get the slope is always 8.
Thus the average rate of change is 8.
Y= - x^2 + 4x + 6 in vertex form
[tex] \rm \color{lime}(2,10)[/tex]
step-by-step explanation:
[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6[/tex]
identify the coefficients[tex]\rm \color{lime}a = - 1,b = 4[/tex]substitute the coefficient into the expressionfind the x-coordinate of the vertex by substituting a = - 1 and b=4 [tex] \tt \tiny \: x = - \frac{b}{29} [/tex][tex]\rm \color{lime}x = - \frac{4}{2x( - 1)} [/tex]
solve the equation for Xfind the y-coordinate of the vertex by evaluating the function for x = 2[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2[/tex]
calculate the function value for x = 2[tex]\rm \color{lime}y = 10[/tex]
since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic function is a (2,10)[tex] = \rm \color{hotpink} (2,10)[/tex]
hope it helps
Answer:
y = - (x - 2)² + 10
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )
y = - (x² - 4x) + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = - (x² + 2(- 2) + 4 - 4) + 6
y = - (x - 2)² + 4 + 6
y = - (x - 2)² + 10 ← in vertex form
Is triangle EJH congruent to triangle EIH?
Yes or No?
Answer:
Yes
Step-by-step explanation:
please help me solve for x
Answer:
can you show a picture
Step-by-step explanation:
it depends on the situation and the problem but normally you would use the other numbers to figure out what number goes in "x"
Need more information to solve for x.
Maria is 5 years older than her younger sister. If Maria will be n years after 7 years, find their total age in terms of n.
Answer:
n+(n-5)
=2n-5
n years Mary's age
n-5 years younger sisters age
Thanks!
Answer/Step-by-step explanation:
Given:
Maria is 5 years older than her younger sister.
If Maria will be n years after 7 years,
To Find:
Find their total age in terms of n.
Solve:
n+(n-5)
n + n = 2n
2n -5
n - years Mary's age
Therefore, n-5 years younger sisters age
[RevyBreeze]
What does AxB equal in I-ready Math?
Please help me solve this
5. Are x and y proportional? Explain Pls helppp me
30 POINTS!!
Answer:
No
Step-by-step explanation:
No, because the rates are not the same for X and Y
Ocho veces un número es restado de dos veces su
recíproco. El resultado es 15. Halla el número.
Resolviendo una ecuación cuadratica, veremos que el número puede ser -2 o 1/8.
¿Como transformar una oración en una ecuación?
Partimos de la oración matematica:
"Ocho veces un número es restado de dos veces su recíproco. El resultado es 15. Halla el número."
Primero vamos a definir al número como x.
El reciproco de x es la inversa, es decir, 1/x.
Entonces, a 2 veces ek reciproco de x, le restamos 8 veces x, y eso va a ser igual que 15.
2/x - 8*x = 15
Ahora podemos resolver esto para x, primero multiplicamos a ambos lados por x:
2 - 8x^2 = 15x
-8x^2 - 15x + 2 = 0
Esto es una ecuación cuadratica, las soluciones van a ser:
[tex]x = \frac{-(-15)\pm \sqrt{(-15)^2 - 4*(-8)*2} }{2*(-8)} \\\\x = \frac{15\pm 17}{-16}[/tex]
Entonces tenemos dos soluciones:
x = (15 + 17)/-16 = -2
x = (15 - 17)/(-16) = 1/8
El número puede ser -2 o 1/8.
Sí quieres aprender más sobre ecuaciones cuadraticas, puedes leer:
https://brainly.com/question/14013122
Thomas has to bring home $10.00 change but he wants to buy 2 hamburgers for his sisters will he have enough money to purchase the burgers ?
(2 hamburgers is 2.25)
8
Step-by-step explanation:
you would do 10 divide by 2.25 and that's 4.4 but you can't by half a hamburger so you round down to 4 and then you times 4x2 because it's 2.25 for two hamburgers so your answer is 8.
3. The graph y=f(x) is transformed to the graph of y= 5-f(x).
Describe fully the two single transformations that have been combined to give the resulting information.