Answer:
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
Then add (or subtract) the fractions
A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B)
[tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C)
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D)
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= [tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]
PLEASE HELP WITH THIS MATH QUESTION I am so frustrated I can't get it right and this is my last test attempt :(
Help please jggvnhujff
Answer:
Step-by-step explanation:
8). [tex]\left \{ {{4x+3y=1} \atop {x+y=2}} \right.[/tex]
(2) × [ - 3 ]
4x + 3y = 1 ........ (3)
- 3x - 3y = - 6 .... (4)
(3) + (4)
x = - 5
- 5 + y = 2 ⇒ y = 7
( - 5 , 7 )
9). [tex]\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.[/tex]
(1) ÷ [- 3]
3x - y = - 6 ......... (3)
2x + y = - 4 ........ (4)
(3) + (4)
5x = - 10 ⇒ x = - 2
2(- 2) + y = - 4 ⇒ y = 0
(- 2, 0)
10). [tex]\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.[/tex]
(2) ÷ 10
x - 0.6y = 0 ⇒ x = 0.6y -----> (1)
0.6y - 2y = 14
- 1.4y = 14
y = - 10
x - 2(- 10) = 14 ⇒ x = - 6
(- 6, - 10)
Now is your turn, you can do it!!
Here is a list of numbers 5 -17 -3 17 -6 -17 19 -14 -20 state the median.
Answer:
the answer is -6
Step-by-step explanation:
the median is the number that is directly in the middle of a sequence of numbers
Find the value of x.
x = 2
x = 3
x = 33
x = 52
Answer: x=3
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
i got 100%
Is (3, 2) a solution of -8x – 2y < 6?
yes or no
Answer:
Yes
Step-by-step explanation:
-8x-2y<6
-8(3)-2(2)<6
-24-4<6
-20<6
Answer:
-8x – 2y < 6
-8(3) - 2(2) < 6
-24 - 4 < 6
-28 < 6
True
Step-by-step explanation:
A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?
Answer:
7500 milliliters
Step-by-step explanation:
7.5*1000
Raman and Raj go for a party each having Rs. 100, If they decide to expend Rs. 150, Then in how many ways they can make the payment
Answer:
only 1 way
Step-by-step explanation:
both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain
The number of ways of spending Rs. 150 will be 3.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Given that Raman and Raj go to a party each having Rs. 100, If they decide to expend Rs. 150.
The number of the spending will be calculated as,
Raman + Raj = 150
100 + 50 = 150
50 + 100 = 150
75 + 75 = 150
The number of ways will be three.
To know more about permutation and combination follow
https://brainly.com/question/4658834
#SPJ2
A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two even numbers
Answer:
1/4
Step-by-step explanation:
The combinations where both numbers are even are:
2, 2
2, 4
2, 6
4, 2
4, 4
4, 6
6, 2
6, 4
6, 6
There's a total of 9 combinations. So the probability is 9/36 = 1/4.
A 26-foot long ladder is leaning against a building
at a 60° angle with the ground.
Which of the following equations can you use to
find the height of the building, h?
Answer:
13
Step-by-step explanation:
cos(60) =building height / 26
noah entered a bike race.He used his red bike because he read that red vehicles get speedjng tickets most often. He rode 32 miles in 160 minutes. How many minutes did it take him to cover 1 min?
How can you use regrouping to solve the equation 32-5 =
Answer:
-5+32=27
Step-by-step explanation:
-5+32=27
Hope I helped!
Answer: 27
Step-by-step explanation:
you cross out the 3, taking 1 away, turning that 3 to a 2, then crossing out that 2 in 32, you get 12 by adding the 1 with the 2, if that makes sense (I haven't done regrouping in a while) 12-5 is 7, and then the 3, thats now a 2 in 32, 2-0= 2, so you'd result with 27 (if that makes sense at all, I hope it did)
Which of the following shows 4x+23+7x-12+y in simplest terms
Answer:
11x+25+y
Step-by-step explanation:
If you simplify, you get...
(4+7)x+(23+12)+y
11x+25+y
Hope I helped!
what is the distance between (2,7) and(4,2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]
[tex]d = \sqrt{4 + 25} [/tex]
[tex]d = \sqrt{29} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which statement about AABC and ADEF is true?
^^^
A.
B.
C.
D.
Find the slope of the line passing through the points (-6, 1) and (-7, 8).
Hello!
Slope formula:
y2-y1/x2-x1
y2: 8
y1: 1
x2: -7
x1: -6
Plug given values into the equation:
8-1/-7 - (-6)
Subtract
7/-1
Divide
-7
The slope is -7
Answer:
-7
Step-by-step explanation:
Since we have 2 points, we can use the slope formula
m = ( y2-y1) /(x2-x1)
= ( 8-1)/( -7 - -6)
= ( 8-1) / ( -7+6)
= 7/ -1
= -7
Find the inverse of g(x)=2x-3
=1/2x-3
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
What is the mother land
A-Mother russia
B-Morther amica
C-mother shrek
Answer:
A
Step-by-step explanation:
Mother Russia is the mother land
please help with both questions
Answer:
See comment
Step-by-step explanation:
13 lawns
The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?
Answer:
$33.48
Step-by-step explanation:
Taylor Swift bought 3 cokes and 2 hamburgers for $15. Kelly Clarkson bought 2 cokes and a hamburger for $9. How much did each coke cost?
if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke
Answer:
lol done
Step-by-step explanation:
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards
Answer:
Option (4)
Step-by-step explanation:
Perimeter of a polygon is the sum of measures of all sides of the polygon.
From the picture attached,
Distance run by Dallas = Perimeter of the ground
= 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50
= 256 yards
Total warm up run by Dallas = 256 yards
Therefore, Option (4) will be the correct option.
Answer:
b
Step-by-step explanation:
got it right on edge
What is the slope of the line through -1,-7 and 3,9
Answer:
The slope is 4
Step-by-step explanation:
You can find the point by doing
9+7
____
3+1
which equals 16/4 = 4
the slope is 4
If there are 5 levels of Factor A and 7 levels of Factor B for an ANOVA with interaction, what are the interaction degrees of freedom?
a. 24.
b. 12.
c. 10.
d. 35.
Answer:
C. 10Step-by-step explanation:
let n1 be the degree of freedom of factor A
Let n2 be the degree of freedom of factor B
If there are 5 levels of factor A, then n1 = 5
If there are 7 levels of Factor B then n2 = 7
The interaction between the degrees of freedom is expressed using the formula;
df = (n1 - 1)+(n2 - 1)
df = n1 -1 + n2- 1
df = n1+n2 -2
Substitute n1 and n2 and get df
df = 5+7-2
df = 12-2
df = 10
Hence the interaction degree of freedom is 10
Aden invested $300 at a rate of 3%. How many years would it take to earn $18 in interest?
(a) 3 years
(b) 9 years
(c) 6 years
(d) 2 years
help <3
Does anyone know how to do this? Thanks!
C. 5
Step-by-step explanation:
The coeff of
[tex] {x}^{5} [/tex]
Is 15.
So by that we can write 3m = 15
m is 5.
Cara can ride her bike 6 miles in 24 minutes. Which ratio shows the number of miles to minutes Cara can ride her bike?
Answer:
1:4
Step-by-step explanation:
24/2=12
6/2=3
12/3=4
3/3=1
So the ratio is 1:4
7x1027
Scientific Notation