Answers
[tex] \left[\begin{array}{ccc}\boxed{\boxed{Slope: \ -3 ; \ Y-intersect: \ -2} }\end{array}\right] [/tex]
Your correct answer would be the second picture, this fit in with what we considered with the slope and all.
I hope this helps you!
Related Questions
what is the inverse of the function f(x) = 4x + 8 a. h(x) 1/4 x - 2
Answers
The function is y=4x+8.
We exchange x and y ==>x=4y+8
and we seach y:
4y=x-8 ==>y=(x-8)/4 ==> y=x/4-2
Answer A
The inverse of the function will be, [tex]\rm y=\frac{1}{4} x-2[/tex]. Option A is correct. The function is obtained by rearranging the equation.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The given function is;
[tex]\rm f(x) = 4x + 8 \\\\ y=4x+8 \\\\[/tex]
After rearranging the equation, we get;
[tex]\rm x=4y+8 \\\\ y= \frac{1}{4} (x-8)\\\\ y=\frac{x}{4} -2\\\\ y=\frac{1}{4} x-2[/tex]
The inverse of the function will be, [tex]\rm y=\frac{1}{4} x-2[/tex].
Hence, option A is correct.
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Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time. The recursive function that gives the number of books Ashley has at any time is = , starting at
Answers
Final answer:
To describe Ashley's book giveaway scenario with a recursive function, define the base case as her starting with 100 books and the recursive step reflecting the weekly giveaway of n books, allowing the calculation of remaining books at any week.
Explanation:
Ashley's scenario of giving away books can be described using a recursive function. If she starts with 100 books and plans to give away n books per week, we can denote the total number of books she has after x weeks as f(x). The recursive function that represents this situation can be written as:
f(0) = 100 - This is our base case, where Ashley starts with 100 books before any are given away.
f(x) = f(x-1) - n - This is the recursive step, indicating that the total number of books Ashley has after x weeks is the number she had the week before, minus n, the number of books given away weekly.
This recursive formula allows you to calculate the number of books Ashley will have after any given number of weeks, as long as n is a known constant number of books she gives away each week.
Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.
Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2.
Raj and Nicole’s polynomial expressions are added to create a sum, written in standard form.
What can you determine about the degree of the sum?
The sum will be degree
.
What can you determine about the number of terms of the sum?
The maximum number of terms of the sum is
, but it could be less.
Answers
Could for example be the following polynomial:
Aa ^ 5 + Ba ^ 3 + Ca + D
Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2
The polynomial is:
Ea ^ 2 + Fa + G
Adding both polynomials we have:
(Aa ^ 5 + Ba ^ 3 + Ca + D) + (Ea ^ 2 + Fa + G)
Aa ^ 5 + Ba ^ 3 + Ea ^ 2 + (C + F) a + (D + G)
Answer:
The sum will be degree = 5
The maximum number of terms of the sum is 6, but it could be less. (5 in our example)
Answer:
the sum will be degree 5
the maximum number of terms of the sum is 6
Step-by-step explanation:
Choose all equivalent expression(s).
HELP !!
answer choices in picture
Answers
The [tex] \frac{1}{4}[/tex] from [tex] \frac{1}{4} ^{3x^{2} }[/tex] can be converted into [tex] 4^{-1} [/tex] so it will be equal to [tex] 4^{-3x^{2} } [/tex]
The [tex] \frac{x}{4}[/tex] from [tex] \frac{x}{4} ^{3x }[/tex] can be converted into [tex] x^{1} [/tex] *[tex] 4^{-1} [/tex] so it will be equal to [tex] 4^{-3x^{2} } [/tex]
[tex] 4^{3x^{2} } [/tex] and [tex] 4^{-3x^{2} } [/tex] clearly not equivalent, so option A is out
find the equation of the straight line passing throughthe point (3,5) which is perpendicular to the line y=3x+2
please explain
Answers
5=(3)(-1/3)+b Plug in x and y
5=-1+b
6=b
Y=-1/3x+6
2.. When two lines are parallel to each other their gradient is the same I.e m¹ =m²...
This question will make use of the first rule...
The second straight line was given to be y =3x+2.. Generally a straight line has the formula y=mx+c(where m=gradient, c=intercept)
So in y=3x+2(the gradient here is 3)
Now from the first rule the product of this line and the line of coordinates (3,5) is - 1..
:- m1*m2=-1
3×m2=-1
m2 = - 1/3....this is the gradient of the line with coordinate (3,5)
Gradient = (y-y₁)/(x-x₁)
-1/3 = (y-5)/(x-3)
Cross multiply you'll have
-1(x-3)=3(y-5)
-x+3=3y-15
3y+x-15-3=0
3y+x-18=0........... Checked....
Or 3y+x=18......
Hope this helped....?
An unlabeled hierarchical diagram of various astronomical bodies is shown below. The labels A, B, C and D can be used to represent the galaxy, Mars, universe, moon, and solar system.
Part 1: Which four astronomical bodies would you choose to represent the four labels in the diagram?
Part 2: Explain why the hierarchical level D is different from the rest.
Answers
The four astronomical bodies represents here are A represents Universe, B represents Galaxy, C represents Solar System, and D represents Mars.
The hierarchical level D is different from the rest is because Mars is a planet and unlike all other astronomical bodies it does not hold other astronomical bodies with in it.
What are astronomical bodies?"Astronomical bodies are objects in space like sun, moon, planets, and stars. They form a part of the vast universe we live in and are very far from Earth."
What is Universe?"The universe includes all space, time, and their objects that also includes planets, stars, galaxies, and other forms of matter and energy."
What is Galaxy?"Galaxy is a vast collection of dust, gas, billions of stars with their solar systems that are all held together by gravity."
What is Solar System?"Solar System is a gravitationally bound system of eight planets, their moons in orbit round the sun with small bodies like comets, meteoroids, and asteroids."
What is Mars?"Mars is the fourth planet from the sun and the second smallest planet in the Solar System."
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Sigma Notation: Need Help!!
Problem 1:
Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5.
Choices:
A.-93
B.-33
C.33
D.93,
Answers
To answer this question, first solve the equation 3 x -2^(n-1) for n=1, n=2,
n=3, n=4, and n=5.
Where n=1
3 x -2^(1-1)
3 x -2^0
3 x 1
n1 = 3
Where n=2
3 x -2^(2-1)
3 x -2^1
3 x -2
n2 = -6
Where n=3
3 x -2^(3-1)
3 x -2^2
3 x 4
n3 = 12
Where n=4
3 x -2^(4-1)
3 x -2^3
3 x -8
n4 = -24
Where n=5
3 x -2^(5-1)
3 x -2^4
3 x 16
n5 = 48
The next step is to find the summation by adding n1 + n2 + n3 + n4 + n5.
3 + (-6) + (12) + (-24) + (48) =
3 - 6 + 12 - 24 + 48
= 33
The answer is C. 33
Final answer:
To solve the sigma notation problem, we individually calculate each term for n from 1 to 5 and sum them up, resulting in a total value of 33. Thus, the correct answer is C.33.
Explanation:
The problem involves evaluating a series using sigma notation. Specifically, we're looking at the summation of 3 × (-2)n-1, with n going from 1 to 5.
To find the solution, we need to calculate each term separately for each value of n, and then sum all of the calculated terms together.
For n=1: [tex]3 \times (-2)^{1-1[/tex] = 3 × 1 = 3For n=2: [tex]3 \times (-2)^{2-1[/tex] = 3 × (-2) = -6For n=3: [tex]3 \times (-2)^{3-1[/tex] = 3 × 4 = 12For n=4: [tex]3 \times(-2)^{4-1[/tex] = 3 × (-8) = -24For n=5: [tex]3 \times (-2)^{5-1[/tex] = 3 × 16 = 48Adding these values together: 3 - 6 + 12 - 24 + 48 = 33.
So the correct answer to the summation is 33, which corresponds to choice C.
Randy drove 540 miles in three times the time it took Andy to travel 135 miles Andy’s speed was slower than Randy’s by 15 miles per hour what were the rate and time of each?
I really need help please!!!
Answers
Let's assume
Randy's speed =x mph
we have
Andy’s speed was slower than Randy’s by 15 miles per hour
so,
Andy's speed =x-15
Randy drove 540 miles
so, we can find time taken by Randy
time = distance / speed
so, we get
[tex]t_R=\frac{540}{x}[/tex]
we can find time taken by Andy
time = distance / speed
so, we get
[tex]t_A=\frac{135}{x-15}[/tex]
Randy drove 540 miles in three times the time it took Andy to travel 135 miles
so,
[tex]t_R=3t_A[/tex]
we can plug it
[tex]\frac{540}{x}=3*\frac{135}{x-15}[/tex]
now, we can solve for x
[tex]540\left(x-15\right)=405x[/tex]
[tex]135x=8100[/tex]
[tex]x=60[/tex]
so,
Calculation of rate:
Randy's speed is 60 mph
Andy's speed =x-15
Andy's speed =60-15=45mph
Calculation of time:
Randy's time is
[tex]t_R=\frac{540}{x}[/tex]
[tex]t_R=\frac{540}{60}[/tex]
[tex]t_R=9 hours[/tex]
Andy's time is
[tex]t_A=\frac{135}{x-15}[/tex]
[tex]t_A=\frac{135}{60-15}[/tex]
[tex]t_A=3 hours [/tex]
what is the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack?
Answers
[tex] |\Omega|=52\\
|A|=\underbrace{13}_{\text{clubs}}+\underbrace{4}_{\text{jacks}}-\underbrace{1}_{\text{jack of clubs}}=16\\\\
P(A)=\dfrac{16}{52}=\dfrac{4}{13}\approx31\% [/tex]
Answer:
A. 4/13
Step-by-step explanation:
4/13 in percent is 30%(30.7692308 percent)
For Plato Users
Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
a. Assuming that you begin at time t = 0 seconds at the lowest point on the wheel, find a formula that describes the distance h (in meters) from you to the ground after t seconds of riding.
b. At what times are you 10 meters above the ground? Please explain clearly how you got your solution.
Answers
a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)
b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer
You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.
Help. I need to explain if she’s right or not
Answers
A = b*h/2
A = 5*4.3/2
A = 10.75
So four of them lead to a total surface area of 4*10.75 = 43 square meters
--------------------------
The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3
The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136
--------------------------
So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters
Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid
The prism has 4 faces that have an area of 4.3*5 m^2 (double the area of the triangular faces) in addition to 2 faces that have an area of 5*5 m^2.
The prism must have an area more than double that of the pyramid, as it has additional faces beyond those that have double the area of the pyramid.
helppppppppppppppppppppppppppppppppppp
Answers
The answer should be option B "d>0".
Reason:
First write the two equations:
5+d>5-d
Now to simplify it subtract 5 by 5:
5-5=0
Which equals:
d>5
(Since how the positive 5 came before the negative)
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
PLEASE CHECK THIS FOR ME
LET ME KNOW IF ITS CORRECT
Answers
Initial numbers of horse: W(0)=?
n=0→W(0) = 15 . b^0
W(0)= 15 . 1
W(0)= 15
Answer: Based on the model, the initial number of horses is 15.
2) If b=1.35, the annual percent growth rate of the number of horses: r=?
b=1+r
1+r=1.35
Solving for r:
1+r-1=1.35-1
r=0.35
r=0.35*100%
r=35%
Answer: If b=1.35, the annual percent growth rate of the number of horses would be 35 %.
To solve 5(2^x+4)=15, first divide each side by
Answers
Answer:5
Step-by-step explanation:
Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three?
Answers
The quotients are different because the order matters in division. When 3 is divided by 1/5 it becomes a multiplication problem with reciprocal of 1/5, yielding 15. However, when 1/5 is divided by 3, it becomes multiplication with reciprocal of 3 and yields 1/15.
Explanation:The reason that the quotient of three divided by one-fifth is different from the quotient of one-fifth divided by three is due to how division works in mathematics. To put it simply, the order of numbers in a division operation matters; it is not commutative like addition or multiplication.
When you divide 3 by 1/5, you're essentially asking, 'how many times does 1/5 fit into 3?'. Here, you're dealing with fractions and whole numbers. To perform the division, we multiply 3 by the reciprocal of 1/5, which is 5. The answer is 3 * 5 = 15.
But, when you divide 1/5 by 3, you're asking 'how many times does 3 fit into 1/5?'. Here, you need to multiply 1/5 by the reciprocal of 3, which is 1/3. The calculation is (1/5) * (1/3) = 1/15.
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Find the volume v of the described solid s. a right circular cone with height 7h and base radius 3r
Answers
r = 3 cm
h = 7 cm
s = 7.61577 cm
V = 65.9734 cm³
L = 71.777 cm²
B = 28.2743 cm²
A = 100.051 cm²
Agenda:
r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area
A = total surface area
π = pi = 3.14159
√ = square root
Formula: Volume of a cone: V = (1/3)πr²h
The volume of a right circular cone with height 7h and base radius 3r is ⅔ 9r² h.
Explanation:The volume of a right circular cone can be calculated using the formula V = ⅔ ² h, where r is the radius of the base and h is the height of the cone.
In this case, the height of the cone is 7h and the base radius is 3r.Plugging in the values, we have V = ⅔ (3r)² (7h) = ⅔ 9r² h.
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Why is circle 1 similar to circle 2?
Circle 1: center (2, 3) and radius 4
Circle 2: center (2, 3) and radius 12
Answers
Circle 2 is a dilation of circle 1 with a scale factor of 3.
Answer: The answer is given below.
Step-by-step explanation: The given circles are:
Circle 1: centre (2, 3) and radius 4
Circle 2: centre (2, 3) and radius 12.
The equations of circle 1 and circle 2 are respectively given as :
[tex](x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.[/tex]
These two circles are drawn on the graph as shown in the attached figure.
We can easily see that the Circle 2 is a dilation of Circle 1 with a scale factor
[tex]S=\dfrac{12}{4}=3.[/tex]
Thus, the two circles are similar.
Graph the ordered pairs for y=4x+2 using x={-2,1,2}
Answers
The graph of the ordered pairs is a straight line graph with x,y values (-2, -6), (1, 6), and (2,10).
What are ordered pairs.
In geometry, Ordered pairs are the values of x and y on the coordinate plane. They are called ordered pairs because they are usually arrange in (x,y) axis.
For a linear equation, the graph is a straight line graph. From the information given:
y = 4x + 2
The slope of the line (m) = 4The y-intercept (b) = 2The points x-axis {-2, 1, 2} are marked on the graph and the corresponding y-values are {-6, 6, 10} respectively.
You have been really sick, so you went to the doctor. The culture taken shows you have 400,000 bacteria. Your doctor prescribes a strong antibiotic which makes the bacteria decrease by a half every 4 hours. How many bacteria will be left after a day?
Answers
Why did you delete my answer?
The area of a regular octagon is 35 cm2. What is the area of a regular octagon with sides five times as long?
A. 625 cm2
B. 875 cm2
C. 175 cm2
D. 245 cm2
Answers
Answer with Step-by-step explanation:
Area of octagon=2(1+√2)a²
Where a is the length of the side of the octagon
Area=35 cm²
Let a' be the length of side of new octagon
a'=5a
Area=2(1+√2)a'²
=25×2(1+√2)a²
=25×35 cm²
= 875 cm²
Hence, correct option is:
B. 875 cm²
Consider the function f(x)=−23x+5 . What is f(52) ? Enter your answer, as a simplified fraction, in the box.
Answers
Hope this helps!
Step-by-step explanation:
Given function f(x)=−23x+5
We need to find f(52).
In order to find the value of f(52), we need to plug x= 52 in the given above linear function f(x) = -23x+5.
Plugging x= 52, we get
f(52) = -23(52) +5
On multiplying -23 and 52 we get -1196.
Therefore,
f(52) = -1196 +5
And
f(52) = -1191.1.Which explanation justifies how the area of a sector of a circle is derived?
Determine how many triangles can fit into a circle. Divide 360° by the number of triangles. Multiply the quotient by the area of the circle .
Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply the area of the circle by this fraction.
Determine the degree of the sector. Divide by 180° and then multiply it by the area of the triangle the sector is in.
Partition the circle into unit squares. Determine the area of the sector and multiply the area by the degree of the circle.
Answers
2) Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply the area of the circle by this fraction.
area of the circle is calculated by;
area = πr² , where r- radius of circle
the central angle of a circle is 360°. Area of the circle is calculated for central angle of 360°.
Sector is when 2 arms/ radii enclose a central angle between them.
area for 360° = πr²
area for 1 ° = area/ 360
area for central angle of sector = area * angle/ 360
the angle of sector is divided by 360 and taken as a fraction .this fraction of the total area of the circle is taken as the area of the sector.
PLEASE HELP ASAP
EXTRA POINTS
Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.
The photograph is positioned so that the matting is twice as wide at the top and bottom as the sides.
Write an equation for the area of the photo in terms of x.
Answers
A=LxW
A is the area of the photograph (A=54 in²).
L is the lenght of the photograph (L=12-4x).
W is the widht of the photograph (W=12-2x)
When you substitute these values into the formula A=LxW, you obtain:
A=LxW
54=(12-4x)(12-2x)
2. Now, you must apply the distributive property. Then:
54=144-24x-48x+8x²
8x²-72x+144-54=0
3. Therefore, you obtain a quadratic equation for the area of the photo:
8x²-72x+90=0
The answer is:
8x²-72x+90=0
What is the quotient of -3/8 and -1/3
Answers
To find the quotient, we need to divide (÷)
[tex] -\frac{3}{8} [/tex] ÷ [tex]- \frac{1}{3} [/tex]
To divide 2 fractions, the best way is to change the ÷ to × and flip the second fraction (called as reciprocal)
[tex] -\frac{3}{8} [/tex] x [tex]- \frac{3}{1} [/tex] ([tex] -\frac{3}{1} [/tex] is simply -3)
[tex] -\frac{3(-3)}{8} [/tex] = [tex] \frac{9}{8} [/tex]
As a mixed fraction, it would be [tex] 1\frac{1}{8} [/tex]
Answer:
its actually a
Step-by-step explanation:
PLEASE HELP!!!
Use a calculator to find the approximate value of arccos(0.63).
a) 39.05 degrees
b) 50.95 degrees
c) 78.1 degrees
d) 32.21 degrees
Please explain how you achieved this answer. Thanks!
Answers
To find the approximate value of arccos(0.63), input 0.63 into the calculator and use the inverse cosine function to find the answer, which is approximately 50.95 degrees. So correct answer is option B.
The approximate value of arccos(0.63) can be found using a calculator.
To find arccos(0.63), you need to input 0.63 into the calculator and then find the inverse cosine or cos^-1 function. On most calculators, this is represented as cos^-1 or arccos.
When you calculate arccos(0.63), you will get approximately 50.95 degrees as the correct answer.
find the fraction
53*53−32*32/61*61−44*44
Answers
2809 - 1024 / 3721 - 1936
Then subtract
1785 / 1785 = 1
The answer is 1. So the fraction is a whole number
Hope this helps
simplify the expression. write the answer using scientific notation 4(6.2x10^11)
Answers
= 2.48 × 10¹²
(scientific notation)
= 2.48e12
(scientific e notation)
= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))
= 2480000000000
(real number)
The correct answer is 2.48*10^12.
1. What is the simplest form of the radical expression? 4 fourth root of two x+ 6 fourth root of two x (1 point) 10fourth root of two x 10 fourth root of four x 20 fourth root of two x not possible to simplify,
Answers
4·⁴√(2x) + 6·⁴√(2x)
As you can see, the radicals are exactly the same: same index, same radicand.
Therefore you can treat it as if it was:
4 apples + 6 apples
which is 10 apples,
or in your case:
10·⁴√(2x)
Hence, the correct answer is option A.
Complete the following in 4 to 6 sentences: First, list two intellectual property rights. Then, describe why an intellectual property right provides incentives for people to produce creative work.
Answers
Intellectual property refers to creations of the mind: inventions; literary and artistic works; and symbols, names and images used in commerce.
1B. Intellectual property is divided into two categories:
Industrial Property includes patents for inventions, trademarks, industrial designs and geographical indications.
2. Copyright covers literary works (such as novels, poems and plays), films, music, artistic works (e.g., drawings, paintings, photographs and sculptures) and architectural design. Rights related to copyright include those of performing artists in their performances, producers of phonograms in their recordings, and broadcasters in their radio and television programs.
3. What are intellectual property rights?
Intellectual property rights are like any other property right. They allow creators, or owners, of patents, trademarks or copyrighted works to benefit from their own work or investment in a creation. These rights are outlined in Article 27 of the Universal Declaration of Human Rights, which provides for the right to benefit from the protection of moral and material interests resulting from authorship of scientific, literary or artistic productions.
The importance of intellectual property was first recognized in the Paris Convention for the Protection of Industrial Property (1883) and the Berne Convention for the Protection of Literary and Artistic Works (1886). Both treaties are administered by the World Intellectual Property Organization (WIPO).
Why promote and protect intellectual property?
There are several compelling reasons. First, the progress and well-being of humanity rest on its capacity to create and invent new works in the areas of technology and culture. Second, the legal protection of new creations encourages the commitment of additional resources for further innovation. Third, the promotion and protection of intellectual property spurs economic growth, creates new jobs and industries, and enhances the quality and enjoyment of life.
An efficient and equitable intellectual property system can help all countries to realize intellectual property’s potential as a catalyst for economic development and social and cultural well-being. The intellectual property system helps strike a balance between the interests of innovators and the public interest, providing an environment in which creativity and invention can flourish, for the benefit of all.
How does the average person benefit?
Intellectual property rights reward creativity and human endeavor, which fuel the progress of humankind. Some examples:
The multibillion dollar film, recording, publishing and software industries – which bring pleasure to millions of people worldwide – would not exist without
copyright protection.
Without the rewards provided by the patent system, researchers and inventors would have little incentive to continue producing better and more efficient products for consumers.
Consumers would have no means to confidently buy products or services without reliable, international trademark protection and enforcement mechanisms to discourage counterfeiting and piracy.
Final answer:
Intellectual property rights such as patents and copyrights incentivize creative work by providing creators a temporary monopoly, allowing them to recover development costs and potentially make a profit without immediate competition.
Explanation:
Two intellectual property rights are patents and copyrights. A patent gives the inventor the exclusive legal right to make, use, or sell an invention for a limited time, usually for 20 years, and a copyright provides the author exclusive legal rights over their creative works.
Intellectual property rights offer creators monopoly profits during this protected period, acting as significant incentives for the production of creative work.
This exclusive period allows researchers and companies to recover the costs associated with research and development. Without these protections, there would be little to no incentive to invest in creating new works if they could quickly be replicated without any benefit to the creator.
There are 12 marbles in a bag, and the marbles are either yellow or green. Two marbles will be randomly picked from the bag, without replacing the first one picked. The probability that both marbles will be yellow is 5 33 . How many YELLOW marbles are in the bag?
Answers
If there are x yellow marbles, then C(x,2)•C(12-x,0)/C(12,2) = 10/66. Thus C(x, 2) = 10, so x = 5 = yellows. So greens = 12–5 = 7
Answer:
B) 5
Step-by-step explanation:
The probability of picking yellow first is
x
12
. The probability of picking yellow second is
x-1
11
. This will give a solution of
x (x-1)
132
.
5
33
is equivalent to
20
132
. 5 and 4 are the only two consecutive numbers that when multiplied together equal 20. Therefore there are 5 yellow marbles in the bag.