Answer:
4. c
6. e, a
Step-by-step explanation:
Hopefully, it correct
Find both the number of combinations and the number of permutations for the given number of objects.
15 objects taken 7 at a time
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:
How can I solve this quadratic using the square root properly?
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation
Step-by-step explanation:
hope it helps
see attached
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
4x+1
Step-by-step explanation:
Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.
so you add: (3x-1) and (x+2)
combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
third option
Step-by-step explanation:
Please help me!
1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex
2. Consider the feasible region in the xy-plane defined by the following linear equalities:
X>=0
Y>=0
X<=12
X + Y >= 4
-X + 2Y <= 14
A. Find the value of Q=70x+82y for each vertex
B. What are the minimum and maximum values of the function Q on the feasible region?
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
which of the following sequences of transformation maps MNO onto ABC?
Answer:
MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien
The sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given sequence of transformations is:
T(–2, 4) - translation by (-2, 4)
ry-axis - reflection across the y-axis
ry-axis - reflection across the y-axis
T(2, –4) - translation by (2, -4)
We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:
T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).
ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).
ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).
T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).
The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".
Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
To learn more on Statistics click:
https://brainly.com/question/30218856
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What is the value of C in the matrix equation below?
|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]
Given:
The matrix equation is:
[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
To find:
The value of matrix C.
Solution:
Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as
[tex]A-C=B[/tex]
[tex]-C=B-A[/tex]
[tex]C=-(B-A)[/tex]
[tex]C=A-B[/tex]
On substituting the values of the matrices, we get
[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]
Therefore, the correct option is C.
Answer: C
Step-by-step explanation: [ 4 2 -7 ]
I need help with this if you get it right I will mark you as brainlest
Answer:
The answer is 300!
Step-by-step explanation:
Answer: $300
Step-by-step explanation:
How we find it out is by finding 25% of $1,200 which is 300
ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP
Answer:
128
Step-by-step explanation:
Do 10*8=80
8*6=38 48/2=24
80+24+24
104+24
128
the probability that a student takes spanish is 70%. The probability that a student takes spanish and they are a freshman is 30% what is the probability that a randomly selected student is a freshman given that he/she takes spanish
30%....................................
Answer: At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68
Step-by-step explanation: u divide
He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
Find the area of the sector.
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
Can you help me please?
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
Find the value of x in the triangle shown below 8 10
Answer:
x = 6
Step-by-step explanation:
pythagorean theorem
a^2 = c^2 - b^2
a^2 = 10^2 - 8^2
a^2 = 100 - 64
a^2 = 36
sqrt a^2 = sqrt 36
a = 6
CHECK:
6^2 + 8^2 = 10^2
36 + 64 = 100
yes.
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
blank plus 1/5 equals to 1/2
Answer: 3/10
Step-by-step explanation:
To get the value for the blank, treat it as a variable. Let’s say this blank is x.
x + 1/5 = 1/2
Subtract 1/5 from both sides:
x = 1/2 – 1/5
x = 3/10
The blank is 3/10.
Hope this helps!
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х
Answer: x=10.25
Step-by-step explanation:
[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]
The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B
Answer:
(2,−4).
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
can you help me please
9514 1404 393
Answer:
domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3Step-by-step explanation:
The expression reduces to ...
[tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
the domain is all real numbers except -4 and +3The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
the range is all real numbers except 1As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
vertical asymptote at x=3; horizontal asymptote at y=1_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
Given vector v=<-2,-1>, find 5v.
Answer:
5v=(-10;-5)
Step-by-step explanation:
&3*$*'hskjekfjcjcnnnnsnd
Please help me i dont know what to do
Answer:
Help you with what?
Help please!!!! I’ll appreciate it so much!
Hi here is the problem
Answer:
Look at the image.
Step-by-step explanation:
24 ÷ 4 = 6
6 × 9 = 54
24 ÷ 3 = 8
8 × 5 = 40
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation: