Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:
[tex]p = \frac{1}{495}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
The desired combination is only one, hence the probability is:
[tex]p = \frac{1}{495}[/tex].
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An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
Solve the equation. If necessary, enter your answer as an reduced improper fraction.
h +9 = 16
Answer:
7
Step-by-step explanation:
It's seven because If you take 9 you just have to find the number that adds up to sixteen so in that case 6+9=16
How do you do this question?
Answer:
(-11 + √165) / 22
Step-by-step explanation:
∑₂°° (1 + c)⁻ⁿ
= ∑₂°° (1 / (1 + c))ⁿ
= ∑₁°° (1 / (1 + c))ⁿ⁺¹
This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
Therefore:
11 = 1/(1+c)² / (1 − 1/(1+c))
11 = 1 / ((1+c)² − (1+c))
11 ((1+c)² − (1+c)) = 1
11 (1 + 2c + c² − 1 − c) = 1
11 (c + c²) = 1
11c² + 11c − 1 = 0
c = [ -11 ± √(11² − 4(11)(-1)) ] / 22
c = (-11 ± √165) / 22
c cannot be between -2 and 0, so c = (-11 + √165) / 22.
find the measure of angle b
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4
Step-by-step explanation:
NBA young boy to my lowest - you hurt me deep when I was down on my lowest I needed you ain’t gaf bout me growing
Answer:
The answer is 1/6
Step-by-step explanation:
This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers
Answer:
[tex]the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} [/tex]
Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!
[1] 4x - 2y + 3z = 1
[2] x + 3y - 4z = -7
[3] 3x + y + 2z = 5
Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :
-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1
-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1
[4] -14y + 19z = 29
-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5
-3x - 9y + 12z + 3x + y + 2z = 21 + 5
-8y + 14z = 26
[5] -4y + 7z = 13
Add 2 [4] to -7 [5] to eliminate y :
2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)
-28y + 38z + 28y - 49z = 58 - 91
-11z = -33
z = 3
Plug this into either [4] or [5] to solve for y :
-4y + 7 (3) = 13
-4y + 21 = 13
-4y = -8
y = 2
Plug both of these solutions into either of [1], [2], or [3] to solve for x :
x + 3 (2) - 4 (3) = -7
x + 6 - 12 = -7
x = -1
Find the inverse of this function
g(x)=2(x-3)^5
--what is the value of 1/2÷6=
Answer:
0.833...
(3's are infinite)
Answer:
0.08333333333
.Step-by-step explanation:
0.5 divided by 6=0.08333333333
rounded: 0.083repeating
Terry is an up and coming florist who specializes in weddings. He uses 5 roses, 3 daises, and 4 bundles of green filler to make one bouquet. If r is the cost of a rose and d is the cost of a daisy, and f is the cost of a bundle of green filler, which expression represents the cost for making 75 bouquets
Answer:
75 (5r + 3d + 4f)
Step-by-step explanation:
Cost of 5 roses: 5rCost of 3 daises: 3dCost of 4 green fillers: 4fAmount of bouquets: 75Put them together: 75 (5r + 3d + 4f)I hope this helps!
Si tienes 5 manzanas para comer durante la semana y te comes el 20% el primer día cuántas manzanas quedan para el resto de la seman?
Answer: El o Ella tiene 4 manazanas izquierda comer para el semana
Step-by-step explanation: Si necesitas ayuda con algo más estoy disponible generalmente de 9 a.m. a 3:50 p.m.
The number of apples left to eat are equivalent to 4.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you have 5 apples to eat during the week and you eat 20% on the first day.
Assume the number of apples left are {x}. So, we can write -
{x] = 5 - 20% of 5
{x} = 5 - (20/100) x 5
{x} = 5 - 1
{x} = 4
Therefore,
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{Question in english -
If you have 5 apples to eat during the week and you eat 20% on the first day, how many apples are left for the rest of the week?}
4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?
Answer:
60
Step-by-step explanation:
Taking the LCM of 3, 4, 5 and 6 leaves us with;
LCM = 1 * 2 * 3 * 2 * 5
= 60
Since Dividing 60 by 7 leaves quotient 8 and remainder 4,
We know that we've found the number we're looking for.
What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
Answer: This means 38% of the large square is shaded. Incorrect. There are 62 small unshaded squares out of the 100 in the large square, so the percent of the large square that is unshaded is 62%.
...
Example
Problem What percent of the grid is shaded?
Answer 23% of the grid is shaded.
2 more rows
Answer:
The answer is 90
Step-by-step explanation:
Since the shaded part fills in about 3/4 of the diagram, percent multiplied to be 100. please mark me brainliest
A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?
Answer: 22.34375
Step-by-step explanation:
35 and 3/4 is equal to 35.75
Therefore,
35.75 x (3/8) is equal to 13.40625 underground.
So 35.75 - 13.40625 = 22.34375 feet above ground
long division help :)
I’m confused
Answer:
the answer is 27
i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0
this is my statement and i did this on paper and got this right!
Answer:
27
Step-by-step explanation:
See photo below
Find the product. Tell which strategy you used.
1. 5 X 7 X 20
2.
Answer:
The product is 700
Step-by-step explanation:
I just multiplied them If it correct plz give me brainliest thanks :)
FIRST RIGHT GETS BRAINLIEST
Answer:
Red is sus
Step-by-step explanation:
Answer: naah i think brown is sus he faked electrical vote him out
Step-by-step explanation:
translation is the point (2, −6). At what coordinates is the image of point (−3, −2) located under the same translation?
Answer:
hey
Step-by-step explanation:
square root of 1, 1/3, 2.5, square root of 2
Type the correct order of each item (eg. 1, 2, 3, etc):
2.5
square root of 1
square root of 2
1/3
Answer:
least to greatest: 1/3, sqrt 1, sqrt 2, 2.5
Step-by-step explanation:
sqrt 1 = 1
sqrt 2 = 1.41421356237 = 1.4
1/3 = 0.33
2.5 = 2.5
456x5 is what I can’t figure this out please help!!
Answer:
2280
Step-by-step explanation:
Multiply 5 times 2325 it ain't that hard g just use google lol
Find the value of x.
Answer:
x=16
Step-by-step explanation:
50+40=90
40-8=32
32/2=16
x=16
Answer:
x=16
Step-by-step explanation:
since it is a right triangle it is 90 degrees so 90-50-40
than do 40=8+2x and solve for x which is 16 :)
choose 1 item to purchase. what is the greatest number of that item you can buy with a $10 and still receive change? how much change will you receive?
Answer:
Step-by-step explanation:
it took jaivin 18 minutes to jog 4 laps . how many minutes did it to jog each lap at this rate?
Answer:
4.5 minutes for each lap
Step-by-step explanation:
18 min/ 4laps
simplify to 9min/2laps which equals 4.5 mins/lap
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
When she first purchased it, Soledad's computer had 500 GB of hard drive space. After six months, there
were only 407 GB available. Enter and solve an equation to find the amount of hard drive space that
Soledad used in the first six months. Uses as your variable.
- 500
The equation is
She has used
GB of memory
Answer:
I think 500-407=93
PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
Halla el divisor común maximo 24 у 36
El máximo común divisor es 12
Por cierto, hablo inglés, así que estoy usando Google Translat. :)
HELP
The price of a necklace was increased by 10% to £121.
What was the price before the increase?
Answer:
108.90
Step-by-step explanation:
To find its price before the increase you say:
10% of 121 then the answer you subtract it from 121:
10 / 100 * 121 = 12.10
Then subtract 12.10 from 121
121-12.10= 108.90
So the price before the increase was 108.90
HOPE IT HELPED
If I had 50 magmortars and I got one shiny magmortar, how much would i have now???
Answer:
51 Magmortars!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
you have 51
Step-by-step explanation:
if you have 50 and you get 1 more then your adding so you would do this
50+1=51
Tell whether -2 is a solution of the inequality n-5<8
Answer:
-2 is a solution
Step-by-step explanation:
-2-5<8
-7<8
Answer:
-2 is a solution.
Step-by-step explanation:
negative 2 minus 5 is less than 8
negative 7 is less than 8