Answers
It's D, 15!/(15 - 5)! .
15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of
15 * 14 * 13 * … * 2 * 1 = 15!
possible arrangements.
But you're taking 5 objects at a time, so we only have 5 positions to fill:
_ _ _ _ _
and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is
15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!
Related Questions
The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions are crucial to draw a circle inscribed on a given equilateral triangle? Select all that apply.
Answers
Answer:
Construct perpendicular lines & construct angle bisectors
Step-by-step explanation:
I saw someone ask the same question and they had that anwser^
The constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:
Construct line segmentsConstruct angle bisectors.How to make an inscribed circle in a triangle?There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some. But usually, (for the angle bisector and perpendiculars), we do the following:
Divide one of the angles in half.Divide another angle in half.The incenter, or point where they cross, is the inscribed circle's centre.Construct a perpendicular from the triangle's centre point to one of its sides.Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.Drawing random arcs isn't gonna help mostly neither unspecific line segments. Drawing angle bisectors of the triangle and perpendiculars is one of the part.
Thus, the constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:
Construct line segmentsConstruct angle bisectors.Learn more about inscribing circle here:
https://brainly.com/question/17043518
find the size of x and y
this is a figure of parallelogram
Answers
Answer:
x = 75° , y = 105°
Step-by-step explanation:
Opposite angles in a parallelogram are equal , then
x = 75°
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
x + y = 180° , that is
75° + y = 180° ( subtract 75° from both sides )
y = 105°
Sphere A has radius of 2 cm. Sphere B has radius of 4 cm. (=433 V = 4 3 π r 3 use 3.14 for π . ) a) The volume of sphere A is b) The volume of sphere b is c) The volume of Sphere B is_______times greater that the volume of Sphere A.
Answers
Answer:
volume of Sphere B is 8 times greater than the volume of Sphere A
Step-by-step explanation:
Sphere A: V = 4π (2^3)/3 = 32π/3
Sphere B: V = 4π (4^3)/3 = 4π(64)/3 = 256π/3
volume of Sphere B / volume of Sphere A = (256π/3)/(32π/3) = 8
A chord 8 inches long is 3 inches from the center of a circle, as shown below. What is the radius of
the circle, to the nearest tenth of an inch?
please help immediately
Answers
Answer:5.0
Step-by-step explanation:
When calculating for volume, you use the area of the 2D shape.
True or false.
Answers
Answer:
I think true.
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
false false false false false
The box plot (Player A) and table (Player B) represent the number of goals scored in a season by two soccer players.
If you were a coach of a soccer team, which player would you want on your team and why? Think about how consistency would be affected by IQR and range.
Answers
Answer:
24
Step-by-step explanation:
I really suck at math. Can anyone give me good tips to remembering math (algebra and geometry especially) or give me good websites to look into?
PLEASE HELP!!!
Answers
Answer:
https://www.mathpapa.com/algebra-calculator.html
Step-by-step explanation:
Mathpapa is a pretty good and reliable algebra calculator would say to use it. It also has Inequalitys and system of equations calculators.
Answer: Symbolab, and this site are going to carry you through algebra.
8 friends share 1/3 of a bag of chips. If they each get an equal share how much of the bag of chips does each friend get?
Answers
Answer:
0.04166666666
I think, im not sure
Step-by-step explanation:
1/3 divided 8 = 0.417 (rounded)
Can someone help me on this plzzz and thank u
Answers
Answer:
x = 23.4
Step-by-step explanation:
[tex]5 \cdot (x + 10) = 167\\5x + 50 = 167\\5x = 117\\x = 23.4[/tex]
The circle graph below shows the scores of the latest math test. It represents 32 students. Approximately how many students earned a B or higher on the math test? 32 20 8 12
Answers
Answer:
20
Step-by-step explanation:
The circle graph below shows the scores of the latest math test. It represents 32 students. The 12 students earned a B or higher on the math test.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b percent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The circle graph below shows the scores of the latest math test. It represents 32 students.
The students earned a B or higher on the math test
38% of 32
[tex]0.38 \times 32\\\\= 12[/tex]
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
Find the scale factor applied to figure A to produce figure B
Answers
Answer:
0.25
Step-by-step explanation:
12x = 3
x = 0.25
You love watching movies on your phone! Unfortunately each movie uses about
0.75GB. For this billing cycle, you’ve already used up 3 GB and your cellular plan
has a 15 GB data limit. How many movies can you watch without going over your
data limit?
1) Let M represent the number of movies you watch. Write an INEQUALITY to
model the number of movies that can be watched without going over the
data limit. Solve the inequality and show all of your work.
Answers
Answer:
[tex].75M+3<15[/tex]
[tex]M<16[/tex]
Step-by-step explanation:
This is a linear inequality so you would solve it as any normal linear system:
Subtract 3 from both sides to isolate the M term :
[tex].75M<12\\[/tex]
Divide each side by .75 to isolate M:
[tex]M<16[/tex]
That means you can watch less than 16 movies and stay under your 15GB limit.
If I helped, a brainliest would be greatly appreciated!
Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. Considering this data, how many of the next 3 donuts Brody eats would you expect to be glazed donuts?
Answers
Answer:1
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(glazed donut)
=
glazed donuts
total
=
3
2+2+5+3
=
3
12
=
1
4
The experimental probability is
1
4
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
4
=
n
20
1
4
(420)
=
n
20
(420) Multiply both sides by (420)
120
= 4n Simplify
20
= 4n Simplify
5
= n Divide both sides by 4
You would expect 5 out of the next 20 donuts Brenna eats to be glazed donuts.
14. Mr. Lebedev bought a Lamborghini for $220,000. After driving it for a month, the
value of it decreased by 15%. But after taking it to a shop and getting it repaired, the
value of it increased by 30%. What is the final value of the car?
Answers
Answer:
243,100
Step-by-step explanation:
subtract 220,000 by 15% and you get 187,000 then add 30% and u get 243,100 I am positive I hope this helps :)
i need help finding the radius of the cylinder. i do not know what i have to do. any help will be greatly appreciated. thank you in advance :))
Answers
Answer: The radius is 5. Hopefully this helps. :)
Step-by-step explanation:
V = π r2 h 125/5=25
125π = π r2 5 r2=25
125π= π*5^2*5 r=5
A 150-pound person plans to jump off a ledge attached to a cord of length 42 feet. If the
stiffness of the cord is no less than 16 pounds per foot, how much will the cord stretch?
Answers
The Answer Is:
9.375 ft
Graph the inequality. 3x+2y<2
Answers
Answer:
the answer is x< −2 /3 y+ 2 /3 but it goes on the bottom
Step-by-step explanation:
-3>x+16 helllllllp me now i need help plssssss
Answers
Answer:
-19 > x
Step-by-step explanation:
Isolate the variable, x. What you do to one side, you do to the other side.
Subtract 16 from both sides:
-3 > x + 16
-3 (-16) > x + 16 (-16)
-3 - 16 > x
-19 > x
-19 > x is your answer.
~
Answer: x<-19
Step-by-step explanation:
hoped this helped
(-3,-1) rotated 180 degrees
Answers
Answer:
(3,1)
Step-by-step explanation:
to rotate 180 degrees just flip the value :)
Answer:
(3, 1)
Step-by-step explanation:
"(-3,-1) rotated 180 degrees."
A point rotated 180 degrees is:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Applying the rule to the point given:
[tex](-3, -1)\rightarrow (3,1)[/tex]
Hope this helps you.
The graph shows the distance, in miles, that Anders traveled over a period of nine hours. Use the graph to determine the constant of proportionality between the number of miles traveled and the number of hours traveled.
Answers
Explain: sorry if it’s wrong
A number has exactly 8 factors, two of which are 8 and 12.
List all the factors of the number.
Answers
Answer:
Step-by-step explanation:
The number is 24 because
Factors of 24 = 1 2 3 4 6 8 12 24
En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores. Es verdadero o falso
Answers
Answer:
Falso.
Step-by-step explanation:
Acá tenemos la proposición:
"En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores."
Primero tratemos de demostrar que esto es falso, para ello debemos encontrar un solo ejemplo en el que la proposición sea falsa.
Elijamos al número 1 como el número natural,
Elijamos -10 como el número entero negativo.
El producto es:
1*-10 = -10
Ahora veamos si el producto es menor que cada uno de los factores.
-10 < 1 ?
Si, -10 es menor que 1.
Ahora veamos con el otro factor:
-10 < - 10?
No, un número no puede ser menor que si mismo.
Entonces el producto no siempre es menor que cada uno de los factores.
Entonces la proposición es falsa.
If a number cube is rolled once, what is the probability of an even number facing upward?
Answers
Answer:
So the odds of rolling an even number are 3:(6−3)=1:1
Step-by-step explanation:
Find the value of x that makes the following equation true
- 4x + 26 = -2
Answers
Answer:
first collect the like terms so that you have -4x is equals to -2 - 26 then negative 4x is equals to -28 divided by -4x is equals to 7
x^2 - 9x = x + 24 solve for x
Answers
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 9x = x + 24 ( subtract x + 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
(x + 2)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 12 = 0 ⇒ x = 12
Find x
In rectangle QRST, QS = 5x - 31 and RT = 2x + 11.
Find the lengths of the diagonals of QRST.
A.4
B.6
C.14
D.16
Answers
Answer:
C
Step-by-step explanation:
The diagonals of a rectangle are congruent, then
5x - 31 = 2x + 11 ( subtract 2x from both sides )
3x - 31 = 11 ( add 31 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
RT = 2x + 11 = 2(14) + 11 = 28 + 11 = 39
The diagonals are each 39 units
The theoretical probability of spinning a number a number less than 7 is__?
Answers
Please help ASAP !!!
Answers
Answer: What do you need help with?
Step-by-step explanation: I don’t understand.
Please answer it’s urgent!!!!
Answers
Answer:
1.5 square meters for light flooring
0.5 squaremeters in dark flooring
Step-by-step explanation:
Common sense
Jayden has a 32-ounce sports drink. He drinks 12 ounces. Write the percentage of ounces Jayden has left of his sports drink.
Answers
Answer:
62.5 %
Step-by-step explanation:
32 - 12 = 20 ounces left
20/32 = 0.625
0.625 x 100 = 62.5 %
Answer:
62.5%
Step-by-step explanation:
