Answers
Answer:
(6)(5)(4) = 120
Step-by-step explanation:
For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have
6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Here is another way to picture it:
In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F
1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite
2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite
3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite
As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!
Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Related Questions
Two cabs leave the cab station. Cab A completes its route in 36 minutes and Cab B completes its route in 45 minutes. If both cabs return to the station after their routes, how many minutes will pass before the two cabs meet at the station?
Answers
Answer:
81 min I think
Step-by-step explanation:
If Cab A completes its route in 36 minutes and Cab B does his in 45 then if you subtract 45 by 46 that is the amount of minutes Cab A waits for Cab B to arrive!
OBJECTIVES QUESTIONS
If P = (7, 9, 13) and Q = (1, 7, 13)
Find P Q
A. (1,7, 13) B. (1,9, 13) mos
C. (7, 13) D. 7, 9, 13)
E. (13)
Answers
Answer:
A write all the numbers and then plus(+) them and get the answer but plus the separate
Which shoe size is the mode?
Answers
Answer:
6
Step-by-step explanation:
Which statement correctly compares the spreads of the distribution
Answers
Answer:
From what I remember A is the answer but im not sure.
Answer:b
Step-by-step explanation:t
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answers
Answer:
x ≤ 1
Step-by-step explanation:
8 + 4x [tex]\geq[/tex] 12
4x [tex]\geq[/tex] 12 - 8
4x ≥ 4
Dividing both sides by 4 gives;
x ≤ 1
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Answers
Answer:
5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.
Step-by-step explanation:
help me please anyone here? will mark brainliest of correct but report if nonsense
Answers
Step-by-step explanation:
1/(1 - p + p²) - 1/(1 + p + p²) - 2p/(1 - p² + p⁴) =
[ (1 + p + p²)-(1 - p + p²)/(1 - p + p²)(1 + p + p²) ] - 2p/(1 - p² + p⁴) =
2p/(1 + p + p² - p - p² - p³ + p² + p³ + p⁴) - 2p/(1 - p² + p⁴) =
2p/(1 + p² + p⁴) - 2p/(1 - p² + p⁴) =
[ 2p(1 - p² + p⁴) - 2p( 1 + p² + p⁴) ]/(1 + p² + p⁴)(1 - p² + p⁴) =
(2p - 2p³ + 2p⁵ - 2p - 2p³- 2p⁵) / (1 - p² + p⁴ + p² - p⁴ + p⁶ + p⁴ - p⁶ + p⁸) =
-4p³ / (1 + p⁴ + p⁸)
I need help with #6 please.
Answers
9514 1404 393
Answer:
6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)
7. (a, b, C) ≈ (180.5, 238.5, 145°)
Step-by-step explanation:
My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.
__
We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.
6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...
A = arccos((b² +c² -a²)/(2bc))
A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°
The other angles can be found by permuting the variables appropriately.
B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°
The third angle can be found as the supplement to the other two.
C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°
The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).
__
7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.
C = 180° -A -B = 145°
a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49
b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52
The measures (a, b, C) are about (180.5, 238.5, 145°).
The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)
Answers
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.
Which function describes the graph below?
X
Answers
Find the missing lengths leave your answers as radicals in simplest form
Answers
Step-by-step explanation:
w = 4
y = 4√2
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
y would be 5.6
What is the exact value of sin(75°)?
Answers
An _____ is a single outcome or group of outcomes.
a.) event
b.) probability
c.) sample
d.) None of these
Answers
Answer:
D
Step-by-step explanation:
The article "an" can only be used with the word "event" so that automatically takes the choices b and c out of the way. An event is something that happens and causes the outcome, it is not the outcome, so it is not A. Thus, the answer is D
-2x(x+3)-(x+1)(x-2)=
Answers
Answer:
[tex]-3x^{2}[/tex] -5x +2
Step-by-step explanation:
Just combine like terms and solve.
-2x^2+-6x - (x+1)(x-2)
Use foil on the second part
-2x^2-6x - x^2-x-2
Now combine like terms and you’d get your final answer
x over 8 = 10?
i just need to solve for x
Answers
Does Allena uses 1/2 gallon or less than 1/2 of water
Answers
Answer:
is there anything to add to that? or is that it
what is 2/5 x 5/6
i need the answer in 3 minutes
Answers
1/3
...............
.
...........
Answer:
1/3
Step-by-step explanation:
ALGEBRA Find the value of x in each figure.
HELP ASAP I WILL
MARK BRAINLIEST
Answers
Answer:
x=104°
Step-by-step explanation:
180=(x+4) +72
180-72=x+4
108=x+4
108-4=x
104=x
x=104°
Hope this helps! :)
Plz help
Hhhhhhhheeeeeeeeellllllllllppppppppp
Answers
Answer:
Step-by-step explanation:
1kg = 1000g
3000g [divide by 1000 to get answer in kg]
3kg = D
The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?
Answers
The distance from Greg's house to Melissa's is 8 mi.
Step-by-step explanation:
Multiply 4 by 2.
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answers
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
Name the longest and shortest side in each triangle.
Answers
What is the measure of b in degrees?
Answers
Answer:
the measure of b in degrees is 32°
Helppppppppppp AND NO LINKS
Answers
mrs cofflands social studies class gas 14 boys and 9 girls in it what is the ratio of girls to boys write it 3 different ways
Answers
Answer:
1. 14:9
2. 14 to 9
3. 14/9
Step-by-step explanation:
A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?
Answers
Answer:
26 : 27Step-by-step explanation:
The volume of the pyramid with height of 6:
V = 1/3bh = 1/3b*6 = 2b,b is area of the baseThe volume of the smaller pyramid is:
V₁ = 1/3*b₁h₁We know:
h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3The base sides have same ratio as similar triangles.
b₁ = (1/3)²b= b/9The volume of smaller pyramid:
V₁ = 1/3*2*b/9 = 2b/27The difference of the volumes is the volume of the frustum:
V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27The ratio of V₂ to V is:
52b/27 ÷ 2b = 26/27What is the equation of the line that passes through the point (8,9) and has a y-intercept of -3?
Answers
Answer:
y=3x/2-3
Step-by-step explanation:
y=mx+c
9=m(8)-3
9+3=8m
12=8m
m=12/8
m=3/2
The equation of the line is y=3x/2-3
Find Sin L=
Will mark as brainliest
Answers
Answer:
[tex]\Huge\boxed{\frac{3}{5}}[/tex]
Step-by-step explanation:
The trigonometric ratio for sine is
sin = opposite over hypotenuse
the opposite side length of L is 6 and the hypotenuse is 10
so sin L = 6 over 10
then we simplify
6/2 = 3
10/2=5
the answer would be 3/5
The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08
Answers
Answer:
8
Step-by-step explanation:
The front face of Amit's house has an area of 275 square feet. If the base is 55 feet long, what is the height? A = 1/2 bh
Answers
Answer:
5 feet
Step-by-step explanation:
Divide the area by the base to get 5 feet tall