The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.
Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,
⁹C₅ = 9! / [(9 - 5)! x 5!]
⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)
⁹C₅ = 126
Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,
⁹P₅ = 9! / [(9 - 5)!
⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!
⁹P₅ = 15,120
The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
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State whether each pair of expressions are equivalent. Show your work.
4(5 + g) + 8(4g + 3 i NEED HELP
Answer:
36g + 44
Step-by-step explanation
20+4g+8(4g+3) =
8(4g+3) : 32g + 24 =
20+4g+32g+24 =
20+4g+32g+24 = 36g + 44
I hope this helps you! Have a great day :)
(DUE TODAY) Paul wants to build this model with clay, but he does not know how much clay to purchase. Draw a line to separate the model into two rectangular prisms. Then write an expression for the volume of the model. What is the volume?
Answer:
first draw a horizontal line through the middle, (you prob know where)
top prism: 5x4x5
bottom prism: 9x5x3
volume: 5x4x5+ 9x5x3
=235cm²
Step-by-step explanation:
There you go, hope this helps!
Through: (1,-4) and (-3,1)
Answer:
of a slope?
Step-by-step explanation:
what is the shape and direction of f(x)=(x+7)(x+11)
Given:
The function is
[tex]f(x)=(x+7)(x+11)[/tex]
To find:
The shape and direction of the given function.
Solution:
We have,
[tex]f(x)=(x+7)(x+11)[/tex]
It can be written as
[tex]f(x)=x^2+11x+7x+77[/tex]
[tex]f(x)=x^2+18x+77[/tex]
It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.
The leading coefficient is positive so the parabola opens upward.
Therefore, the given function is a vertical parabola that opens upward.
Graph x > -2. PLEASE HELP!!!!!
Answer:
x > -2
Step-by-step explanation:
B/c the sign is > it will be an open circle
B/c the sign is > it will be an infinity line
Also, use math-way, it'll help u with everything
If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The breadth of the rectangle is (-5x-3).
Area of rectangleThe area of a rectangle is given as the product of its length to its breadth.
[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]
Given to usarea of a rectangle = (15x2 - 16x - 15)
length = (3x - 5)
Width[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]
Hence, the breadth of the rectangle is (-5x-3).
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HELP PLSSSSSSSI ASKING YOU ╰（‵□′）╯PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
No solution is the answer when both lines have the same slope with a different y-
intercept.
o True
o False
if you get it right and you are the first one than i will give you all stars and thanks and a crown but if you are just right then only the stars and the thanks
Answer:
Periodic Table
Step-by-step explanation:
? that should be it.
7.
Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the
number of cakes per hour Judy can decorate?
A
Cake Decorating
Cake Decorating
Number of Cakes
30
27
24
21
18
15
12
Number of Cakes
30
27
24
8 21
18
15
12
9
G
3
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
B
Cake Decorating
D
Cake Decorating
y
30
2
30
27
24
21
Number of Cakes
200
18
15
Number of Cakes
19
Answer:
B
Step-by-step explanation:
is the one that shows how many cakes were made in an hour
hour is 60 minutes so u will divide 60 by 3 it equal to 20
it means they make 20 cakes in 1hour
A tissue box has a base of 36 in2 ? and is 5 inches tall. What is the volume of the tissue box?
Answer:
180 [tex]in^{2}[/tex]
Step-by-step explanation:
36 times 5 = 180
Answer: the value is 90
Step-by-step explanation:
y=3x-4 slope intercept form
Answer:the slope is 3 and the y intercept is -4
Step-by-step explanation:
Look at the picture.
Thank u!
Help me solve this 9(n + 2) n = 1/4 the choices are A. 3 B. 9 C. 10 D. 19
Answer:
d
Step-by-step explanation:
Subtract -4 and -11 with the help of number line. pls answer as soon as possible pls
Answer:
7
Step-by-step explanation:
-4 - -11 = 7
remember negative + or - equals a positive same way with a positive + or - positive will give you a positive.
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
Answer:
The answer is C
Step-by-step explanation:
Help
Which product are greater than 2 and 5\6? Select all that apply
Answer:
B, C, & E
Step-by-step explanation:
PLZ HELP!!! WILL MAKE BRAINLIEST!!!
Hey guys can someone help me out?
Answer: yes with what
Step-by-step explanation:
[tex]18 - 4 \div {2}^{2} \times 10[/tex]
whats the answer
Maria is starting a small DVD business online. She makes $3 on each DVD she sells. To start her business though, she had to invest $750. How many DVDs does she need to sell before she starts to make a profit?
Answer:
750 divided by 3. Equals 250
Step-by-step explanation:
If it says how much is needed and it gives the amount the person has, you will need to divide.
Triangle NOP is similar to triangle RST. Find the measure of side RS. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale
Answer:
Step-by-step explanation:
Remark
Try to make sure that when you set up your proportion, that the side you are trying to find is the numerator. Then all you have to do is multiply both sides by the numerator underneath the unknown side.
Equation
x / 11 = 27 / 7
Solution
Multiply both sides by 11
11 * x / 11 = 27 * 11 / 7
x = 297 / 7
x = 42.43
35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift
Answer:
38760 selections result in all 6 workers coming from the day shift.
Step-by-step explanation:
The order in which the workers are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
a. How many selections result in all 6 workers coming from the day shift:
20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.
[tex]C_{20,6} = \frac{20!}{6!(20-6)!} = 38760[/tex]
38760 selections result in all 6 workers coming from the day shift.
Select all the multiples of the number 3
4:08 - 1:15 =
time calcuation
Answer:
2:53
Step-by-step explanation:
You spin the spinner twice.
8
7
What is the probability of landing on an 8 and then landing on a 7?
Write your answer as a fraction or whole number.
two over four is the probability that you will land on seven or eight
Answer:
P( landing an an 8 then on a 7 ) = 1/ 16
What is a Probability?
Its is the branch of mathematics concerning numerical description of how likely an event is to occur .
P( landing an an 8 then on a 7 ) = P ( landing on an 8) * P ( landing on a 7 )
P(Landing on an 8) = 1/4
P(Landing on an 7) = 1/4
P = 1/4 * 1/4
P= 1 / 16
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During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176
Answer:
C
Step-by-step explanation:
12 to the 3rd power divided by 12 to the 7th power
Answer:
0.000048..............
Answer:
0.00004822
Step-by-step explanation:
12^7= 35,831,808
12^3= 1728
Over the summer, Teagan and Maya read a total of 36 books. Teagan reads three times as many books as Maya. How many books does each girl read?
What is the answer to 14v+6=2(5+7v)
Answer:
0=4
Step-by-step explanation:
14v+6=2(5+7v)
14v+6=10+14v
6=10
0=4