Answers
Answer:
(6)(5)(4) = 120
Step-by-step explanation:
For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have
6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Here is another way to picture it:
In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F
1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite
2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite
3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite
As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!
Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Related Questions
x^4 − 3x^2 − 90 x= -3
Answers
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36math is so hard:
For which function is the ordered pair (4, 12) not a solution?
1. y = 3 x
2. y = 16 - x
3. y = x + 8
4. y = 8 - x
what’s the answer?
Answers
Answer:
4. y = 8 - x is the right answer
Answer:
4. y = 8 - x
Step-by-step explanation:
The question asks for which function is the ordered pair not a solution?
We need to substitute the ordered pair (4, 12) into x and y.
1. 12 = 3(4) (correct)
2. 12 = 16 - 4 (correct)
3. 12 = 4 + 8 (correct)
4. 12 = 8 - 4 (incorrect)
Therefore, the solution to your question is option 4.
PLEASE HURRY⚠️⚠️
How do you find the length of an unknown leg in a right triangle?
Answers
Answer:
by measuring in feet
Step-by-step explanation:
its the easiest way to find what your looking for
Answer:
You can find the length of an unknown leg using the Pythagorean theorem
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
or
[tex]c^2-a^2=b^2[/tex]
or
[tex]c^2-b^2=a^2[/tex]
note c = hypotenuse and b and a = legs
given triangle ABC if abgleA=25degrees, angle B=75degreesand a=14 what is the length of side b to the nearest whole number
Answers
Answer:
did you get the answer i have this question right now plz lmk
Step-by-step explanation:
Helppppppppppp meeeeeeeeee
Answers
Answer:
The Area is 13 sq m
Step-by-step explanation:
hope it helps you..
Answer:
22 is right answer I think
When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
x P(x)
0 0.669
1 0.278
2 0.048
3 0.004
4 0.001
5 0.000
1. Does the table show a probability distribution?
A Yes, the table shows a probability distribution.
B. No, the random variable x's number values are not associated with probabilities.
C. No, not every probability is between O and 1 inclusive.
D. No, the sum of all the probabilities is not equal to 1.
E. No, the random variable x is categorical instead of numerical.
2. Find the mean of the random variable x.
a. mu = male(s).
b. the table does not show a probability distribution.
3. Find the standard deviation of the random variable x.
a. infinity = male(s).
b. the table does not show a probability distribution.
Answers
Answer:
1. Yes, the table shows a probability distribution.
2. 0.39 males.
3. 0.6082 males.
Step-by-step explanation:
The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given:
A probability distribution is given if the sum of all probabilities is 1.
We have that:
0.669 + 0.278 + 0.048 + 0.004 + 0.001 + 0 = 1
So yes, the table shows a probability distribution.
2. Find the mean of the random variable x.
We multiply each value by its probability. So
[tex]\mu = 0*0.669 + 1*0.278 + 2*0.048 + 3*0.004 + 4*0.001 + 5*0.000 = 0.39[/tex]
The mean is 0.39 males.
3. Find the standard deviation of the random variable x.
Square root of the subtraction squared of each value and the mean, multiplied by its respective probability. So
[tex]\sigma = \sqrt{0.669*(0-0.39)^2+0.278*(1-0.39)^2+0.048*(2-0.39)^2+0.004*(3-0.39)^2+0.001*(4-0.39)^2+0.000*(5-0.39)^2} = \sqrt{0.3699} = 0.6082[/tex]
The standard deviation is of 0.6082 males.
can you help me? I am stuck
Answers
Answer:
27
Step-by-step explanation:
what is 111/4?
27.75
But they asked exact, or no remainders. So the whole number is 27
The greatest number of stalls he needs is 28.
Since it says "the greatest, I rounded 27.75 up, getting 28.
differentiate y=a/x+b with respect to x, when a and b are constant
Answers
Answer:
-a/(x+b)²
Step-by-step explanation:
Given the function y = a/x+b
To differentiate, we will use the quotient rule.
dy/dx = (Vdu/dx-Udv/dx)/V²
Let u = a
v = x+b
Note that differential of a constant is zero
du/dx = 0
dv/dx = 1
Substitute
dy/dx = (x+b)0 - a (1)/(x+b)²
dy/dx = 0 - a/(x+b)²
dy/dx = -a/(x+b)²
answer pls ill give bainliest!
Answers
Answer:
the right scale factor is 2.5
Step-by-step explanation:
just divide 5 by 2
Answer:
False im not sure sorry
calculate the number of terms in the following arithmetic sequence. 6;1;-4;-9....... -239
Answers
Answer:
50
Step-by-step explanation:
Given
first term (a) = 6
Common Difference (d) = 1 - 6 = - 5
Last term (tn )= - 239
Number of terms (n) = ?
We know
Tn = a + ( n - 1 ) d
- 239 = 6 + (n - 1) (-5)
- 239 = 6 - 5n + 5
- 239 = 11 - 5n
5n = 11 + 239
5n = 250
n = 250 / 5
n = 50
The number of terms is 50.
Which graph represents the function f(x) = 3/2 (2) ^x
Answers
Answer:
There is no any graph
I have telegram account you can sent it there if you need that write in the comment below
3. 15 is what percent of 75?.
Show your work
Please hurry this is 100% of my grade and I have an F in math please
Answers
Answer:
20%
Step-by-step explanation:
75 divided by 5 equals 15
Simple form:
15+15+15+15+15=75 There are 5 15's.
I hope this helps and your grade gets better. :)
Which condition would prove ΔDEF ∼ ΔJKL?
Answers
Step-by-step explanation:
DE : JK
= 21 : 7
= 1 : 3
#CMIIWThe condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
we have given proof two triangles congruent by the postulate of SSS.
Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.
AC ≅ DF will complete the SSS property to prove both the triangles are congruent.
DE : JK
= 21 : 7
= 3 : 1
Learn more about triangle here:
https://brainly.com/question/342881
#SPJ2
2. En un concierto hay 432 personas. Si sabemos que hay 48 mujeres más que hombres,
¿Cuántos hombres y cuántas mujeres hay?
Answers
h=x
x+48+x = 432
2x +48= 432
x=192
mujeres =240
hombres= 192
Father shared $90 among his three children. Liam, Darreon and Jessie. Jessie gets $10
more than Darreon who gets $10 more than Liam. How much did Jessie and Liam
get
altogether
Answers
Darreon gets $30
Liam gets $20
So Jesse and Liam together get $60
HELPPP I MAKE BRAINLIESTT
A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.
Which linear function models the data?
A. c(t) = 5t
B. c(t) = 15t
C. c(t) = 5 + 15t
D. c(t) = 15 + 5t
Answers
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.
(Only the slope will have the t next to it.)
Because $15 is charged EACH HOUR this would be the slope because there is a constant increase
Therefore c(t) = 5 + 15t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.
What would be the volume to this equation?
Answers
Answer:
you times 11.3 by 15.1 then times it by 18.9
please help I have tried over and over and can't get it
Answers
2) 6
3) 4
4) 2
5) 5
6) 5
7) 7
8) -3
9) 9
10) 6
11) -5
12) 0
Here are your answers may I please have the brainliest
PLEASE HELP I WILL MARK BRAINLIST!!
Answers
14: [tex]\frac{1}{2} = \frac{8}{1}[/tex] [tex]\frac{x}{y} = \frac{56}{1}[/tex]
56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"
1/2 · 7/1 = 7/2 or 3 1/2
15. [tex]\frac{2}{5} = \frac{x}{100}[/tex]
to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.
40/100 = 40% or D
16. [tex]\frac{3}{5} = \frac{12}{x}[/tex]
A
How many meters are the
Convert 5.2kg to grams.
Answers
Answer:
5.2kg = 5,200 grams
Step-by-step explanation:
I hope it helps
Help please. It’s base times height.
Answers
Answer:
Pretty sure it's 99.
Answer:
11×9=99
99in³ is the area of the parallelogram
Find the sum:(12x-14)+(2x+3)
Answers
Answer:
x= -0.785
Step-by-step explanation:
12x plus 2x equals 14x
negative 14 plus 3 equals negative 11
negative 11 divided by 14 equals x
A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.
cost to rent each chair=
cost to rent each table=
Answers
Answer:
14 and 16
Step-by-step explanation:
nryjettutwi523iwtietiitqy25
Please help- will give brainlist
Answers
Answer:
m(JCA)
Step-by-step explanation:
C is the central angle here (the one in between)
so it will be m(JCA) or m(ACJ)
Write a proof for the statement If a quadrilateral is a square, then the quadrilateral is a rectangle
Answers
Answer:
this is because a quadrilateral is a four sided polygon.
and this means square and rectangle are quadrilaterals.
1 2 /3 − 4 /5 =
Can you please help me
Answers
Answer:
hope it helped you...! :)
2+262+77+8+9+9+8+6+5+5+4+5+56+6+6+6+8+8+65+6+6+8+8
Answers
Answer:
583
Step-by-step explanation:
Which of the fractions accurately represents the ratio of the orange area to the light blue area in the circle graph shown?
A) 3/10
B) 2/7
C) 7/2
D) 26/5
Answers
Answer:A
Step-by-step explanation: Because you fill in 10 with 3 as many times as you can to get your answer.
Find t.
Write your answer in simplest radical form.
Special right triangles
Answers
9. After a mild heart attack, Mary spent 3 days in a coronary care unit. Her
room bill was 2,898. What was her daily room rate ?