Answer:
First, if we have a set of K elements, such that are ordered as:
{x₁, x₂, ...}
The total number of permutations for the K elements can be found in the next way.
For the first element in the set, we have K options.
For the second element in the set, we have (K - 1) options (because we already choose one)
For the third element we have (K - 2) options, and so on.
The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:
permutations = K*(K - 1)*(K - 2)*....*2*1 = K!
Now suppose that we have a set of N elements, and we want to make groups of K elements.
The total number of different combinations of K elements is given by the equation:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we have 15 objects (then N = 15) and we take 7 at the time (Then K = 7)
Where we need to take in account the number of combinations and also the permutations for each combination.
Then the total number of different sets is:
C(15*7)*7!
First, the total number of combinations will be:
[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]
So we have 6,436 combinations, and each one of these combinations has 7! permutations.
permutations = 7! = 7*6*5*4*3*2*1 = 5,040
if we combine these we get:
Combinations*Permutations = 6,435*5,040 = 32,432,400
Answer:
7
Step-by-step explanation:
Write an equation to represent the following description. Seventeen more than eight times a number is −6.
For the rectangle shown, which equation can be used to find the value of x?
Answer:
Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\[/tex]
The value of x is 6.46 inch.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Given: breadth = 3.6, diagonal= 7.4
Using Pythagoras theorem,
H²=P²+B²
(7.4)²= (3.6)²+B²
54.76=12.96 + B²
54.76-12.96=B²
41.8= B²
B= 6.46 inch.
Hence, the value of x is 6.46 inch.
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Solve for the value of a.
(8a)•\(5a-2)
Answer: a =
Submit Answer
о
attempt 1 out o
Answer:
a = 14
Step-by-step explanation:
The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.
8a + (5a - 2) = 180
Combine like terms.
13a - 2 = 180
13a = 182
Divide both sides by 13.
a = 14
This is your answer.
Check your work by plugging "a" back into the original equation.
8a + (5a - 2) = 180
8(14) + [5(14) - 2] = 180
112 + (70 - 2) = 180
112 + 68 = 180
180 = 180
Your answer is correct.
Hope this helps!
what is the value of v in 2.5v = 125
Answer: v=50
Step-by-step explanation:
2.5 v=125
v=125/2.5
v=50
Answer:
v=50
Step-by-step explanation:
[tex]\frac{2.5v}{2.5} =\frac{125}{2.5}[/tex] divide both sides by 2.5 to isolate v
v=50
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
64x = 8.
What is the value of x that makes the equation true?
Enter the correct answer in the boxes.
2
Answer:
x = 1/8
Step-by-step explanation:
The value of x is 1/8.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
64x = 8
Solve for x.
64x = 8
Divide both sides with 64.
x = 8/64
x = 1/8
Thus,
The value of x is 1/8.
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x = -3.
3.2 2 - 16=(x-1)=?
Answer:
dvide it
Step-by-step explanation:
All I'm asking is help me and don't rip me off I'm being generous
Answer:
the eqaution would be
C=1.25h-0.5
The solution for 4 boxes would be
4.50 dollars
Step-by-step explanation:
Well c in this case is total
h is the amount of boxes
Since each box (h) cost $1.25 each, you multiply 1.25 by h.
Then that one time coupon off his total would be just -0.50
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
I'd say D
Step-by-step explanation:
help me pls mathhh mhm
Answer:
f = -15
Step-by-step explanation:
3(f/3) equals f
3(-5) equals -15
The final equation becomes: f = -15
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
I need help with this now
Answer:
80
hope this is correct
comment below
hope this helps you ☺️☺️
is 8 a solution to 1/2x+9=13?
Answer:
yes
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
PLZ IT'S VERY IMPORTANT
Find the perimeter
Answer:
118 cm
Step-by-step explanation:
8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm
hi can anyone help me with this
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
Please help I’ll mark you as brainliest if correct
Answer:
The answer you clicked is correct.
Step-by-step explanation:
1 teacher = 25 scholars.
What percent of the model is shaded green?
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
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Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.
De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9
La desviación estándar se puede calcular mediante la fórmula
S = √∑fx² / n - (∑fx / n) ²
La desviación estándar es 6,12
Poner los valores de la tabla en la hoja de Excel dada.
s = √381430 / 60 - (4770/60) ²
s = √6357.167 -6320.25
s = √36,917
s = 6,0759
Cuando se redondea daría 6,1
The standard deviation can be calculated using the formula
S= √∑fx²/n - (∑fx/n)²
The standard deviation is 6.12
Putting the values from the table in the given excel sheet.
s= √381430/60 - (4770/60)²
s= √6357.167 -6320.25
s= √36.917
s= 6.0759
When rounded would give 6.1
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A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.
Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.
Answer:
1. There is evidence that mean is different from 1.0 gallon
2. test statistic = -4.42
3. p value = 0.00001
4. 0.9928,0.9972
Step-by-step explanation:
h0: u = 1.0
h1: u not equal to 1.0
alpha = 0.05
sd = 0.008
n = 50
mean = 0.995
standard error se = 0.008/√50 = 0.00113
test statistics calculation
0.995-1/0.00113
= -0.005/0.00113
= -4.42
p value calculation
using the z test statistics and alpha = 0.05
the p value using a p value calculator = 0.00001
0.00001<0.05
so we Reject the null hypothesis
we conclude there is enough evidence that mean is different from 1.0
95% confidence interval
Z alpha/2 = 0.025
we find z value using excel function
NORMSINV (0.025)
|Z| = 1.96
Standard error se = 0.00113
margin of error E = 1.96 x 0.00113 = 0.0022148
confidence interval =
0.995 - 0.0022148, 0.995 + 0.0022148
= 0.9928, 0.9972
solve this equation -3x - 8 = 18
8.67 (rounded to the nearest tenth)
Hi I just need the sum for this :) (Sum is the answer)
4(2x + 3) ÷ 5y = ?
Answer:
23
Step-by-step explanation:
Solve for x and round to the nearest tenth.
х
54
22
Answer:87 hope
this helps
Step-by-step explanation:
(4-3i)(1+2i)
I have so many of these
Answer:
-6i^2+5i+4
Step-by-step explanation:
Rearrange Terms
(-3i+4)(1+2i)
(-3i+4)(2i+1)
Distribute
-3(2i+1)+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+8i+4
Combine Liker Terms
-6i^2+5i+4
Solution
-6i^2+5i+4
Answer:
-2 + 5i
Step-by-step explanation:
Remember these rules:
real times real = real (e. g., 4(1) = 4)
real times imaginary: imaginary (e. g., 4(2i) = 8i)
imaginary times real imaginary
imaginary times imaginary: real with a negative sign (e. g., (-3i)(2i) = +6
Once again: work out (-3i)(2i). We get (i^2)(-6) = +6
In summary: your (4-3i)(1+2i) becomes 4 + 8i - 3i - (i^2)(-6), or
4 + 5i - 6, or -2 + 5i
sorry if its twisted but i need help in # 3 please :)
Answer:
knsy standard ka question hy
Step-by-step explanation:
Pls help 10 ptsssssssssssss
NO LINKS
Solve for x.
O 72.5
O 31.6
O 26
O 11.9
help me with this please
Answer:
A
Step-by-step explanation:
Brainliest PLEASE
I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
I need help will mark brainlist
When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?
1. multiply each side by -1/8, add 35 to each side
2. multiply each side by -1/8, subtract 35 from each side
3. multiply each side by -8, subtract 35 from each side
4. multiply each side by -8, add 35 to each side
Answer:
The correct option is 3.
Step-by-step explanation:
By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.