The first group of three wolves can be formed in 28 ways.
We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.
What is the meaning of combination?
A combination is a combination of n things taken k at a time without repetition.
We need to choose 1 male wolf out of 1 wolf male. So we can choose one wolf as
[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]
We can choose 1 male wolf in only 1 way.
Since the female wolfs are identical that means order doesn't matter, so we will use combinations.
We can choose 2 female wolves out of 8 as
[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]
Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.
We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.
Number of ways farming first group of three wolves
1(28)=28
Therefore, the first group of three wolves can be formed in 28 ways
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The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn.
since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]
The cities of fayetteville, raleigh and durham form a triangle. they are building a new
baseball stadium. how should they determine where to place the stadium so it is the
same distance from all three cities to the stadium? assume a direct path.
Answer:
it should be built at the centre
pls help with this brain boggling work
:)
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
What is the value of x in the figure at the right?
Answer:
x=11
Step-by-step explanation:
It seems that the two angles are supplementary. Soo they add up to 180
Thus,
15+15x=180
Solve for x...
15x=165
x=11
Hope this helps!!!
PLS HELP
WILL GIVE BRAINLIEST
answer:
(-7; -5)
step by step
2x-5y=9
3x+4y=2
solve the simultaneous questions
Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)
Step-by-step explanation:
PLEASE HELP ME! AFCVGBHNJMK
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Answer:
9 and 18
Step-by-step explanation:
let the numbers be x and 2x
so that x+2x=27
3x=27
x=9
so the numbers are 9 and 18.
I hope this will help
Answer:
9 and 18[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.
[tex] \\ [/tex]
Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .
[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]
Adding like terms we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]
Dividing both sides by 3 we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]
So,
One of the number is 9.[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]
Therefore,
The two numbers are 9 and 18.Can someone please help me out with this question?
Use the slope formula and pick any two points to find the slope.
m= Y2- Y1/x2-x1
I picked the points (1,8) (3,14).
14-8/3-1= 6/2= 3
Hope this helps .
omly
Purple
Green
Blue
in
Number
6
9
5
of trials
Based on the data, how many times
would you expect Anya to pick a
purple marble if she ran 90 trials?
The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles.
Question 2 options:
4:3
3:4
3:2
1:2
Step-by-step explanation:
3 blue
4 red
2 yellow
in total 9 marbles.
when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).
so, the ratio is
3:6 = 1:2
remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...
Please help ASAP!
The domain of this function is {-12, -6, 3, 15}.
y= 2/3x + 7
Complete the table based on the given domain.
Please help .!!!!!!!!!!!!!!!
This being a piecewise function, trying to solve f(2), we must find which two equations we can use.
We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2
--> f(2) = 3(2) + 1 = 7
Hope that helps!
is 56/72 and 7/9 proportional
Answer:
Yes. They are proportional.
Step-by-step explanation:
[tex]\frac{56}{72} =\frac{7}{9}[/tex]
[tex]0.777=0.777[/tex]
The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
#5
What is the value of x ? Round to one decimal place if
necessary. If your answer is correct you will see ar
image appear on your screen.
F
Submit
40°
50°
T
✓
D
X
E
Answer:
6
Step-by-step explanation:
because 5 is greater than 4
Which set of numbers could represent the lengths of the sides of a right triangle?
13, 21, 34
8, 14, 21
15, 18, 26
12, 16, 20
Answer:
9*9+40*40=41*41
Step-by-step explanation:
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.
-77 Rational of Irrational?
Answer:
Rational
Step-by-step explanation:
A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.
Write y – 3 = (x – 6) in standard form.
Answer:
x-y=3
Step-by-step explanation:
Answer:
[tex]x - y = 3[/tex]
is
[tex]y - 3 = (x - 6)[/tex]
in standard form
Mrs Smith visits THE SCHOOL - outfitters to buy school clothes for the new school year.
The price of a school dress is R350 and a blazer is R650.
Calculate the percentage profit the shop makes if the cost price per dress is R280.
The shop makes 25% profit if the cost price per dress is R280.
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.
The equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
What is a Leading Coefficient?A leading coefficient is the term that has the highest degree in a polynomial expression.
What is a Constant?A constant is a term that has only numbers and contains no variable.
We are given the following equations:
0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.
Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
Learn more about leading coefficient on:
https://brainly.com/question/99237
Can you guys please help!!!??
ur mom
Step-by-step explanation:
SUB - Mathematics
Grade - 9th
Q.1) Visualise 3.765 on the number line , using Succescive Magnification.
Note:-
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Step-by-step explanation:
Introduction:-Successive magnification:
In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.
Solution:-Since, we're given to visualize 3.765 on the number line, we take the number line from between 3 and 4Then, in between 3 and 4, we then visualize the portion of 3.7 and 3.8Again, in between 3.7 and 3.8, we visualize the portion of 3.76 and 3.77.At last, we point out the required number for visualizing that is 3.765, in between 3.76 and 3.77.A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
can you help me pls? i need it
Answer:
$168.75
Step-by-step explanation:
In the morning you'll have a time of about 4 hours.
In the afternoon you'll have 8.5 hours.
You take these and add them together 4 + 8.5 = 12.5
Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75
what is 5x+10 in its simplifiyed form?
srry for my spelling, in a rush- lol
Answer:
5(x+2)
Step-by-step explanation:
pls help i will give 5 starts and brainliest question is down below 9:22
4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
simplify (3a^2-6a+3)/(a^2-1) if a is not 1
[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
Read more on volume of prism here: brainly.com/question/3867601
Answer: 54 m³
Step-by-step explanation: proof with more answers