What is the answer for this combination:
12C5
Answers
C(n,r) = n! / ( r! (n - r)! )
n = (set)
r = (subset)
Answer:
C(n,r) =
C(12,5) =
12! / (5! (12 - 5)!) = 792
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6 divided by four sevenths
Answers
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
Learn more about the function here,
#SPJ2
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
Answers
4375 = 1000x
x = 4375/1000
= 35/8
or 4 3/8
Answers
The answer is:0.625
Answers
Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)
Solution:
Given equation is:
2x + 3y - 6z = 30
We have to find the intercepts
Intercept are the point where equations cut the x- axis, y- axis and z- axis.
Thus, at x- axis:
y and z both are zero
So substitute y = 0 and z = 0 in given equation
2x + 3(0) - 6(0) = 30
2x = 30
x = 15
Thus the intercept is (15, 0, 0)
Thus at y - axis:
x and z both are zero
So substitute x = 0 and z = 0 in given equation
2(0) + 3y -6(0) = 30
0 + 3y + 0 = 30
3y = 30
y = 10
Thus the intercept is (0, 10, 0)
Thus at z - axis:
x and y are both zero
So substitute x = 0 and y = 0 in given equation
2(0) + 3(0) - 6z = 30
-6z = 30
z = -5
Thus the intercept is (0, 0, -5)
Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)
Answers
so if I had 1, 2, 2, 3, 4, I would add all of them together and get 12 then divide 12 by 5 because there are 5 numbers to get a mean of 2.4
Median: the middle number in a set
in the set 1, 2, 2, 3, 4 the median would be 2 as it is in the exact middle of the set of numbers. ***Be careful! For this, the numbers HAVE to be in numerical order so it has to be 1, 2, 2, 3, 4 NOT something like 1, 2, 3, 2, 4
Mode: the number that appears the most in a set
in the example 1, 2, 2, 3, 4 the mode is 2 because 2 appears more than the other numbers
Hope this helped!!
so mean is when you add all the number you have and divide it how many number.
example: 1,4,5.6 if you add all the numbers the answer will be 16 and divide it 4 so you count how many number you have so 16 divide by 4 = 4.
the median is the one that are in the middle . to find it you have to place the number to least to greater and find the median.
Example: 4,6,10.5,3,1,8
so least to greater will be 1,3,4,5,6,8,10. so when you count the median will be 5 because you count 1,3,4 and you count 6,8,10 so the middle is 5.
the mode is the number that occurs most often in the number like this
Example: 1,2,3,3,4,5, so the number that occurs most often is 3 .