Answer:
Try search the answer at Enternet explorer
Step-by-step explanation:
Search "What is the definition, formula and example problem of permutation, combination and probability
Answer:
Permutation:
In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
Formula:
[tex]nPr=\frac{n!}{(n-r)!}[/tex]
Example:
Permutations are the different ways in which a collection of items can be arranged. For example, the different ways in which the alphabets A, B and C can be grouped, taken all at a time, are ABC, ACB, BCA, CBA, CAB, BAC. Note that ABC and CBA are not the same as the order of arrangement is different.
Combination:
In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.
Formula:
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Example:
Combination: Picking a team of 3 people from a group of 10.
C(10,3) = 10!/(7! * 3!) = 10 * 9 * 8 / (3 * 2 * 1) = 120.
Probability:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Formula:
Conditional Probability P(A | B) = P(A∩B) / P(B)
Bayes Formula P(A | B) = P(B | A) ⋅ P(A) / P(B)
Example:
Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and its being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½.
Siân is saving for a car which costs 11 800 AUD. Find how many years it will take for the value of the investment to reach this value. Round to the nearest year.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.
Assume that:
[tex]r = 5\%[/tex] --- interest rate
[tex]PV =9000[/tex] --- Present value or invested amount
To calculate time (in years), we make use of the following formula of future value
[tex]FV = PV(1 + r)^n[/tex]
Where
[tex]FV = 11800[/tex]
So:
[tex]11800 = 9000( 1 + 5\%)^n[/tex]
Divide both sides by 9000
[tex]1.31 = ( 1 + 5\%)^n[/tex]
Take logarithm of both sides
[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]
Apply law of logarithm
[tex]Log(1.31) = nLog(1 + 5\%)[/tex]
Make n the subject
[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]
Express 5% as decimal
[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]
[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]
[tex]n = \frac{0.1173}{0.0212}[/tex]
[tex]n \approx 6[/tex]
The time to reach the future value is approximately 6 years.
Use the above explanation to answer your question
Which of these r-values represents the weakest correlation?
Answer:
-0.25
Step-by-step explanation:
NEED HELP please and thank you hehe
Answer:
113
Step-by-step explanation:
it's the x outside right?
Let f(0) = -+1 and find f(-4).
Select the correct response:
o f(-4) = -5
f(-4) = 7
f(-4) = 5
f(-4)=-7
Answer:
f(0) what ? i cant read the formulla of it
what is 2+2=? adding letters for extra characters
Answer:
4
Step-by-step explanation:
1.) Find and compare the population density for Arizona and New York. Round your answers to the nearest whole number.
State Population Land Area (square miles)
Arizona 6,828,065 113,594
New York 19,795,791 47,126
You need to explain your steps in detail.
Answer:
just round them at the end
Step-by-step explanation:
Arizona: 7,278,717
New York 8.419 milion
Can someone plss help me with this question!
QUESTION: Solve and graph for x and y.
Answer:
[tex]y = 1-\frac{x}{2}[/tex]
[tex]y = 1-\frac{x}{2}[/tex]
Step-by-step explanation:
x+2y = 2
2y = 2-x
[tex]y=\frac{2-x}{2}[/tex]
[tex]y = 1-\frac{x}{2}[/tex]
2x+4y = 4
4y = 4-2x
[tex]y=\frac{4-2x}{4} \\y =1-\frac{x}{2}[/tex]
They are the same. When you will graph it they will be on top of another. It will be one single line.
To graph this equation follow the slope-intercept form: y=mx+b
b is y-intercept and m is slope.
From this equation y-intercept is 1 and slope is -1/2. Y=intercept is the value of y when x is 0. So one point will be (0,1) on the graph.
Slope = rise/run. Rise means going up and down. Run means going left and right. When the number is negative you go down and left. If it's positive you go up and right.
To put the slope go down 1 and right 2 to input another point from the point (0,1). So the new point will be (2,0). Now draw a line between (0,1) and (2,0) and you have your graph.
Simplify fully 50y3/ 8xy2
Answer:
[tex]\frac{25y}{4x}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke
I need help with 5, find the area, thank you
Estimate the perimeter of the figure to the nearest whole number. perimeter: about __ units
Answer:
16
Step-by-step explanation:
3+3+3+3+4=16
The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new cylinder can ?
Answer: [tex]282.85\ cm^2[/tex]
Step-by-step explanation:
Given
Radius of cylinder [tex]r=5\ cm[/tex]
The height of the cylinder is [tex]h=9\ cm[/tex]
The surface area of a cylinder is [tex]2\pi rh[/tex]
If only the outer is considered then, the area required is
[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]
Write the slope-intercept form of the equation of each line
1) x—6y=—13
2) 4x— 5y= 15
3) 3X— y=2
4)13x- 7y= 56
5) x-4y=-16
6) 9x-y=1
7) x+2y=-8
8) 10x + 3y =6
9) 7x - 8y=8
10) y= -5
Answer:
1.) y= [tex]\frac{1}{6} x[/tex] + [tex]\frac{13}{6}[/tex]
2.) y = [tex]\frac{4}{5} x[/tex] - 3
3.) y = 3x - 2
4.) y = [tex]\frac{13}{7} x[/tex] - 8
5.) y = [tex]\frac{1}{4} x[/tex] + 4
6.) y = 9x - 1
7.) y = -[tex]\frac{1}{2} x[/tex] - 4
8.) y = -[tex]\frac{10}{3} x[/tex] + 2
9.) y = [tex]\frac{7}{8}x[/tex] - 1
10.) y = -5
the diameter of the circle is 8 ft
what is the approximate area of the circle, in square feet? use 3.14 for π
Answer:
50.24
Step-by-step explanation:
r = d/2
r = 8/2
r = 4
Area of a Circle:
A = πr²
Work:
A = πr²
A = 3.14(4²)
A = 3.14(16)
A = 50.24
The approximate area of the circle is 50.24 square feet.
Given is a circle with diameter of 8 ft we need to find the approximate area of the circle.
To find the approximate area of a circle, you can use the formula:
Area = π × (radius)²
Given that the diameter of the circle is 8 ft, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 8 ft / 2 = 4 ft
Now we can calculate the approximate area:
Area ≈ 3.14 × (4 ft)²
= 3.14 × 16 ft²
≈ 50.24 ft²
Therefore, the approximate area of the circle is 50.24 square feet.
Learn more about Area of circles click;
https://brainly.com/question/28642423
#SPJ4
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
How do you solve this ?
"The equals sign with the squiggly line above it is the sign for congruence."
Therefore, GHIJ is congruent to PQRO.
H is then known as 99°;
J as 85°;
R as 123°;
P as 53°;
and all of the sides' km as listed.
If I'm understanding the question correctly, it is asking you for the appropriate degree of J, which we see as 85°.
Hope this helped!
Answer:
what the person above me said XD
Step-by-step explanation:
whats x +y - 8 please help me
Answer:
...
Step-by-step explanation:
You need to give us the value of x and y. This question is indeterminable.
Find the difference between the the actua
and the estimated values of 55-21
Answer: 34
Step-by-step explanation:
27 is 72% of what number?
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
Find the value of each trigonometric ratio
Answer:
value of sin A is 40/41
answer is A
Step-by-step explanation:
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
Can anyone help me with this math problem please I will give brainly!! No links doe!
Answer:
d) 3 1/2 in^2
Step-by-step explanation:
The area of a rectangle is calculated by multiplying width and length
5 × 7/10 = 35/10 and we can simplify it as 3 1/2 in^2
I want to know What is x=,y=,z=
Answer:
x=31 y=44 z=105
Step-by-step explanation:
Using the angle relationships, we know that 31 is equal to x, y is equal to 44 and z is equal to 105
I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.
Step-by-step explanation:
x^12
.....................................
Insert 3 rational numbers between 1 /4 and 1/3 using mean method
Answer:
13/48, 7/24, and 15/48
Step-by-step explanation:
When we have two numbers A and B (such that A < B), the mean between these numbers is:
mean = (A + B)/2
And we will always have that:
A < mean < B
In this case, we have the numbers 1/4 and 1/3
The mean between these numbers is:
M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24
we know that 7/24 is an integer that is between the numbers 1/4 and 1/3
Now we can take the mean between 1/4 and 7/24
M = (1/4 + 7/24)/2
= (6/24 + 7/24)/2 = (13/24)/2 = 13/48
And we have:
1/4 < 13/48 < 7/24
Now we can find the mean between 7/24 and 1/3:
M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48
then:
7/24 < 15/48 < 1/3
Then we can write:
1/4 < 13/48 < 7/24 < 15/48 < 1/3
Then the 3 rational numbers between 1/4 and 1/3 are:
13/48, 7/24, and 15/48
HEEELLLP!!
how many times bigger is 24,137,569 than 83,521
and happy Easter
Answer:
24,05r,048
Step-by-step explanation:
i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048
Answer:
24,137,569 is 289 times bigger than 83,521
Step-by-step explanation:
24,137,569/83,521= 289
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
Please i need help ASAP
What is the range?
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?
Answer: The answer is B
Step-by-step explanation: I took the test.
please help me
also, stream enhypen's new song drunk dazed on yt and stream txt's song crown on spotify!
Answer:
60+60+60= 180
Step-by-step explanation:
all the angles in a triangle should add up to 180