Answer:
3.6 • 10^9
Step-by-step explanation:
Through multiplying, we get 3,600,000,000
The number divided by 10^ 9 = 3.6
Therefore the Answer is 3.6 × 10^9
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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]
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
using 5,7,2 to equal 6
Answer:
here my answer
Step-by-step explanation:
5+1=6
7-1=6
3x2=6
hope it helps :)
You have 3 coins. One of them may be a fake that is either heavier or lighter than the real coins. Using a balance scale what is the best possible number of weighings that you need to always find the possible fake
Answer:
Two weighing
Step-by-step explanation:
In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.
Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.
Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.
Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.
Type the correct answer in the box. Find f(g(x)) for the functions f(x)=5 √x+1 -2 and g(x)= x^2 -1 . f(g(x)) = _____ are these functions inverses? _
g(x)=x^2-1
f(g(X))=5 sqrt(x^2-1+1)-2
5 sqrt(x^2)-2
:sqrt cancel the square
5x-2
Please help! Sketch the graph of each line.
Answer:
1) (-3,0) (0,-3)
2) (-2,0)
3) (5,0) (0,-1)
4) (12,0) (0,3)
5) (-16,0) (0,4)
6) (-0.8333,0) (0,5)
what is the cost of making one burrito (remember that cost is negative)
Answer:
$550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
HELP ILL GIVE BRAINLIST IF YOU HELP MEEEEEEEEEEE
(20 POINTSSSS) PLUS BRANLIEST DO NOT REPORT PLEASE
I put some counters into groups with the same number in each group. I can’t remember what I did, but I do remember that I had 12 counters. What might the groups have been?
THANKS
Answer:
2 groups of 66 groups of 24 groups of 33 groups of 41 group of 1212 groips of 1Step-by-step explanation:
To figure out the possible groups find the factors of 12; in other words what two numbers would multiply to 12. These are: 1, 2, 3, 4, 6, and 12
1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 1212 × 1 = 12So, your possible groupings are;
2 groups of 66 groups of 24 groups of 33 groups of 41 group of 1212 groips of 1Answer:
the answer is 4 * 9
Step-by-step explanation:
np
are there sample worksheets for accounting
x + 1 3/4 = 2 7/8 HELP ME PLSS
Answer:
x = 1.125
Step-by-step explanation:
Answer:
x + 1 3/4 = 2 7/8
x + (1 + 3/4) = (2 + 7/8)
8x = 9
x = 9 /8 = 1.125
Step-by-step explanation:
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
find the slope
(11, 7) and crosses the
y-axis of 17
Answer:
Slope of the line (m): -0.909090909091
Y-intercept of the line (b): 17.0
Slope Intercept Form (y = mx + b): y = -0.909090909091x + 17
Step-by-step explanation:
We have that the the slope (11, 7) and crosses the y-axis of 17 is
m=−0.909
From the question we are told
The the slope (11, 7) and crosses the y-axis of 17
Generally the equation for the Slope is mathematically given as
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ Where\\\\\ Therefore\\\\m=\frac{17-7}{0-11}\\\\ m=-0.909[/tex]
Therefore
The the slope (11, 7) and crosses the y-axis of 17 is
m=−0.909
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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
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%
What is the distance between points (6, 9) and (6, −9) on a coordinate plane?
Enter your answer in the box.
Answer:
18
Step-by-step explanation:
If you go to (6, -9) and count up to (6, 9) it is exactly 18 points.
Answer:
It should be 18 units (IT MIGHT) if you count from positive 9 down to negative 9 its gonna be 18 units.
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.
please help with both questions
Answer:
See comment
Step-by-step explanation:
13 lawns
z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2
Answer:
z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2
The formula for the volume of a right triangular pyramid is V = 1/6 bhx, where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid. Solve for X.
PLEASEEE HELP ! I WOULD APPRECIATE IT VERY MUCH :)
hi!
so the original equation is (x^2 -121) / x+ 11.
Those two equations look similar...
well, we know that the top equation looks like a^2 - b^2, and that equation iis equivalent to this equation: (a+b)(a-b).
So if we factor that out, we get:
( (x + 11) * (x-11) )/ (x + 11)
we can cancel the x+11 on the top and the x+11 on the bottom out.
that leaves us with x-11.
Hope this helped!
At a neighborhood cookout,
the ratio of children to adults
is 7:2. If there are 10 adults,
how many Total people are at
the cookout?
Answer:
45 people
Set up a proportion.
7/2 = x/10
cross multiply
We get 2x=70
x= 35
Children= 35
35 children + 10 adults= 45 people
Solve the equations:
2^(3x−4)=−2
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.
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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:
Need help ASAP!!
What slope would make the lines perpendicular?
Y=1/2x+8
Y=[?]x+2
Answer:
-2
Step-by-step explanation:
Gradient of perpendicular lines is -1
so divide -1 by ½
u get -2
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:
EASY MATH!! Find value of these expressions without using calculator!
Answer: 1, -1, 1, -1
Step-by-step explanation:
if it the power is odd and there is parenthesis the answer will be negative. If it is even then the answer will be positive
Answer:1, -1, 1, -1
Step-by-step explanation:
Even power results in positive for negative numbers, odd power results in negative for negative numbers
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?
Answer please thanks
Answer:
4. interphase
5. prophase
6. metaphase