Answer:
helium,nitrogen
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
Gummi bears come in twelve flavors, and you have one of each flavor. Suppose you split your gummi bears among three people (Adam, Beth, Charlie) by randomly selecting a person to receive each gummi bear. Each person is equally likely to be chosen for each gummi bear.
(a) What is the probability that Adam gets exactly three gummi bears?
(b) If you know that each person recieved at least one gummi bear, what is the probability that Adam gets exactly three gummi bears?
(c) What is the expected number of gummi bears that Adam gets?
(d) If you know that each person recieved at least one gummi bear, what is the expected number of gummi bears that Adam gets?
(e) Is there more variance in the number of gummi bears that Adam gets with or without knowing that everyone gets at least one gummi bear? Explain your answer without calculations.
Step-by-step explanation:
From the given gummi bear, the chance that Adam is selected for any draw is 1/3 as well as the chance he is not selected at any draw is 2/3.
a). The probability of Adam getting exactly three gummi bears = P(Adam gets selected at 3 draws and not selected at the remaining 9 draws)
= [tex]$ (\frac{1}{3})^3 (\frac{2}{3})^9 = \frac{2^9}{3^{12}} $[/tex]
Now, the 3 draws where Adam gets selected can be any 3 out of 12 draws in [tex]$ {\overset{12}C}_3 $[/tex] = 220
Thus, probability of Adam getting three gummi bears = [tex]$ 220 \times \frac{2^9}{3^{12}} $[/tex]
= 0.21186
b). Probability that Adam will get the three gummi bears given each person will received at the most 1 gummi bear
= P(of the remaining 9 draws after assigning one gummi bear to each one, Adam gets selected at 2 draws and not selected at 7 draws) = [tex]$ {\overset{9}C}_2 (\frac{1}{3})^2 (\frac{2}{3})^7 $[/tex]
= 0.23411
c). Let X = Number of the gummi bears which Adam will get. Then, X = number of draws out of 12 draws Adam gets selected and X ~ B(12, 1/3). So, Adam will get gummi bears= mean of B(12, 1/3) = 12 x (1/3) = 4
d). Let Y = Number of the gummi bears that Adam will get, given each person will received at the most 1 gummi bear Then, Y = number of draws Adam gets selected in the remaining 9 draws and Y ~ B(9, 1/3). So, the expected number of bears that Adam gets given each person received at least 1 gummi bear
= 1 + mean of B(9, 1/3) = 4
e). When every one gets atleast one gummi bear, the new sample size will be 9 and so we can say that there is a reduction in variance.
3. At the start of summer, Ben has $250 . He takes a summer
job and saves $ 150 per week. Tim has $ 1,650 at the start of
summer , he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
helppppp i dont know pslßss
Answer:
width=3
Step-by-step explanation:
area=length X width
length=4 X width
=>area=4 X width X width
=>area=(2 X width)^2
=>36=(2 X width)^2
=>6=2 X width
=>width=3
the area of a rectangle is length times width
A = L times W
A = 26. so 36 = L times W
The length is 4 times the width
L = 4W
Thus, we can switch L to 4W in the area equation
36 = 4W ×W = 4W²
36 ÷ 4
=√9
=3cm
What is the solution to the linear equation?
를 글 - +
5
- X
6
x = -5
Ox=
0 x=
Ox=5
x=-5 ___________________
The question is an illustration of linear equation, and the solution to the linear equation is x = -5
How to determine the solution?The equation is given as:
[tex]\frac 23x - \frac 12 = \frac 13 + \frac 56x[/tex]
Multiply through by 6
4x - 3 = 2 + 5x
Collect like terms
4x - 5x = 2 + 3
Evaluate the like terms
-x = 5
Divide both sides by -1
x = -5
Hence, the solution to the linear equation is x = -5
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ5
20% of ___= 100 Find the answer
Answer:
500
Step-by-step explanation:
20% of x = 100
Write 20% as a decimal - - > 0.2(x) = 100
Isolate and solve for x - - > x = 100/0.2
Therefore, x = 500
Answer:
500
Step-by-step explanation:
Let the no. be x
20% of x = [tex]\frac{20}{100} x[/tex]
And ,
[tex]\frac{20}{100} x = 100\\=> 20x = 10000\\ => x = \frac{10000}{20} = 500[/tex]
I’m having trouble solving this question can someone please help me out!!!
Answer:
Step-by-step explanation:
The answer is A
Of 57 cars making up a freight train, 23 are boxcar. What fraction of the cars are not boxcars?
Answer:
total no of cars =57
Cars which are not boxcars =57-23=34
23/34×57=1339/34
what is 17492/15098.766= i dont have brain
The answer is 1.158505
Solve for y in terms of x. 16x + 4/3 y = 21
Answer:
y= -12x+63/4
Step-by-step explanation:
16x + 4/3 y = 21
4/3 y =21-16x
4y=3(21-16x)
4y=63-48x
y=63/4-48/4 x
y=-12x+63/4
what is 95.85 estimated to
Answer:
96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
95.85≅96, because 8>5.
Find the quotient.
56,000 10
Answer:
5,600
Step-by-step explanation:
i used calculator.
y=x^-5 A) translate 5 units down B) translate 5 units up C) translate 5 units left D translate 5 units right
Answer:
B a translation 5 units to the left
Step-by-step explanation:
Edge 2021
In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first.
Answer:
A= 29
B=34
C=117
Step-by-step explanation:
A triangle has three sides and a triangle always adds up to be 180
A + B + C = 180
B = A + 5
C = 4A + 1
Plug in.
A + A + 5 + 4A + 1 = 180
6A + 6 = 180
6A = 174
A = 29
Now since you found A, find the other two by plugging A in!
C = 4(29) + 1
C = 117
Plug in the B equation
B = 29 + 5
B=34
Check your answers
29 + 117 + 34 = 180
3y^2+y^- 5+ 4y+2y^3+8
Answer:
9y+3
Step-by-step explanation:
you add all the common numbers and you end up with:
9y^6+3+y^-5
then you put the y^-5 under the other numbers and make it positive so it becomes:
9y^6+3/y^5, then you subtract the exponents of y: 6-5, so that cancels out the y on the bottom making it:
9y+3
4x + 16 - x= 22 + 6
O A. x = 3
O B. x= 2
O C. x = 4
D. x = 11
Answer:
The Answer is C
Step-by-step explanation:
22+6= 28
4(4)+16-4=28
Thus, the answer is C, X=4.
Answer:
C. x=4
Step-by-step explanation:
4x-x=22+6-16
3x=12
x=12÷3
x=4
please help its multiplying rational numbers
-3.2(-5.6)(4)
= -3.2 - 5.6 x 4
= -3.2 - 22.4
= -25.6
what are the domain and range of the function represented by the set of order pairs? {(-12,-5),(-10,5),(10,-5),(12,5)}
Answer:
Domain: -12, -10, 10, 12
Range: -5, 5
Step-by-step explanation:
The Domain is the first coordinate which is x.
The Range is the second coordinate which is y.
Hope This Helps :)
whats 48 divided by 2
Answer:
My answer to the question is 24.
please help me. Given the explicit formula for an arithmetic sequence find the 52nd term.
a =-41 + 30n
A) a52= 1519
B) a52= -1541
C) a52=-1492
D) a52=-1490
Answer:
a = -41 +30n
52nd term is
a52 = -41 + 30(52)
a52 = -41 + 1560
a52 = 1519
Simplify the expression. -/4/
Suppose we want to know whether students who study more (hours per week) have a higher grade point average. What kind of question is this? *
Answer:
See who studies and who doesnt then compare
Step-by-step explanation:
See who studies and who doesn't
take the assignment
ask for the score of the people who did and for who didn't
collect the data and organize it
Look at the arrows in the following drawings
Answer:
a) perpendicular b) parallel c) perpendicular d) neither
Step-by-step explanation:
Perpendicular means that the lines will intersect/cross and create a 90 degree angle
Parallel lines will never intersect/cross because they are going the same way.
which of the following sets of numbers could represent the three sides of a triangle
A 6,20,28
b 4,11,15
c 9,19,30
d 5,15,19
Answer:
d 5,15,19
Step-by-step explanation:
The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.
__
If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.
(Some authors do allow such a triangle, in which case, there would be two answers here: B and D.)
2^20-2^1)=2^x. Solve for x
Answer:
x=19
Step-by-step explanation:
2^20-2^1=2^x(since they have the same base we can remove the bases)20-1=xx=19The measure of an angle is 2°. What is the measure of its complementary angle?
Answer:
88°
Step-by-step explanation:
Complementary angles have a sum of 90°, just do 90 - 2 and there's your answer.
Find the unknown length y in the following pair of similar triangles.
Simplify the following expression.
-21 - (-11)
Answer:
-10
Step-by-step explanation:
well you know that
[tex](-)(-)=(+)[/tex]
so we have
[tex]-21-(-11)\\\\=-21+11\\\\=-10[/tex]
Consider the point. (1, 4, 5) What is the projection of the point on the xy-plane?
Given :
A point ( 1 ,4 ,5 ).
To Find :
The projection of the point on the xy-plane .
Solution :
Now , to find projection of a point in a plane in a plane we need to replace the coordinate of that remaining axis which is not in the plane .
Here , the plane given is xy-plane . So , remaining axis is z .
So , we replace coordinate of z =0 .
Therefore , the projection of the point ( 1 ,4 ,5 ) on the xy-plane is ( 1 ,4 ,0 ) .
Hence , this is the required solution .
find the area of the region enclosed by the curves y=x and y=(x-2)^2
Answer:
Step-by-step explanation:
14.5845842 518.5874 funny
Answer:
Step-by-step explanation:
What is this simplifided 54123×54÷2=
Answer:
1461321
Step-by-step explanation: