The probability that exactly 2 students say blue is their favourite colour is 0.3108.
What is Binomial DIstribution?
The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p). A single trial or experiment that results in success or failure is known as a Bernoulli experiment, and a series of results is known as a Bernoulli process.The Binomial Distribution Formula is given as, [tex]P(X=k)= ^{n} C_{k}(p)^{k} (1-p)^{n-k}[/tex]Here, the probability that the first grader chose blue is 24%.
[tex]\implies p=0.24[/tex]
The number of students randomly selected is 8.
[tex]\implies n=8[/tex]
So, the probability that exactly 2 students say blue is,
[tex]P(X=2)= ^{8} C_{2}(0.24)^{2} (1-0.24)^{8-2}\\\implies P(X=2)=28 \times 0.0576 \times (0.76)^{6} \\\implies P(X=2)=0.3108[/tex]
Thus, the probability that exactly 2 students say blue is 0.3108.
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What rule describes the rotation about the origin?
(x, y) →
How many degrees was the figure rotated about the origin?
°
It means that the coordinates of the point were translated using the formula (x, y) since the point rotated at an angle of 180°. (-x, -y). As a result, the necessary rule that characterises the rotation about the origin is as follows: (-x, -y). Example of a 180 degree rotation when rotating a figure about its origin.
What is rotation ?The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or anticlockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.
Here are the guidelines for rotation: rotation in the direction of 90°: (x,y) becomes (y,-x) rotation of (x,y) at 90 degrees anticlockwise results in (-y,x) Rotating (x, y) 180 degrees both clockwise and anticlockwise results in (-x,-y)
Thus, the necessary rule that characterises the rotation about the origin is as follows: (-x, -y).
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Answer: 1. -x,-y
2. 180
Explanation:edge
When the author discusses douglass's speech at the massachusetts anti-slavery society meeting in 1841, what are the author’s feelings toward douglass’s actions?
He is on Douglass’s side because the "He opposes Douglas." Is the wrong answer, my son used the answer "He opposes Douglas." The answer was graded wrong for that response.
The momentum of an object is determined to be 7. 2 × 10-3 kg⋅m/s. Express this quantity as provided or use any equivalent unit. (note: 1 kg = 1000 g )
The momentum of the object when expressed using the equivalent units is determined to be 720 g-cm/s.
What are Equivalent Units?
The amount of work put into a specific quantity of physical goods is measured in equivalent units. You may easily determine equivalent units by multiplying the quantity of physical goods by the amount of work done on them.In order to determine them, the number of physical (or actual) units on hand is multiplied by the units' completion rate.In the given question, momentum, [tex]p=7.2 \times 10^{-3}[/tex] kg-m/s
Here, the momentum is expressed in SI units.
Now, we can convert the units of momentum into CGS system using the following equivalent units.
1 kg = 1000 g and 1 m = 100 cm
So, we get the momentum as,
[tex]p=7.2 \times 10^{-3} \times 1000 \times 100[/tex] g-cm/s
[tex]\implies 7.2 \times 10^{2}[/tex] g-cm/s
[tex]\implies p=720[/tex] g-cm/s
Hence, the momentum of the object when expressed using the equivalent units is 720 g-cm/s.
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A stationary block has a charge of +6. 0×10−8 c. A 0. 80-kg cart with a charge of +4. 0×10−8 c is initially at rest and separated from the block by 0. 4 m. The cart is released and moves along a frictionless surface to a distance of 1. 0 m from the block. Consider the objects as point charges
The electrostatic force between the block and the cart is -2.1x10^-5 N and the electrostatic potential energy between the block and the cart along a frictionless surface is -1.4x10^-7 J.
What is frictionless surface?
A frictionless surface is a surface that does not experience any friction when an object moves across it. The concept of a frictionless surface is important in physics and engineering, as it helps to explain the behavior of objects in motion. Frictionless surfaces are found in many everyday objects, from the ice on a hockey rink to the wheels on a race car. The frictionless surface allows objects to move quickly and easily across it, resulting in less energy being lost in the process. Frictionless surfaces are also important in the field of nanotechnology, as they allow nanorobots to move quickly and efficiently.
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How does Wiesel feel about the power of memory? Highlight and label any rhetorical devices Wiesel uses to stress his point.
Passage: “Home, Despair, and Memory” By Elie Wiesel
if an interview ask questions at the end of an inte they are
Answer:
Explanation:
yes
What is the complementary messenger-rna sequence for the dna sequence c-a-a-g-g-t?
The complementary messenger-RNA sequence for the DNA sequence C-A-A-G-G-T is G-U-U-C-C-A.
This is because messenger-RNA is created by a process of transcription in which the complementary base is matched to each side of the DNA sequence.
In this case, the base C is matched with G, A is matched with U, and G is matched with C. Therefore, the complementary messenger-RNA sequence is G-U-U-C-C-A.
Write an expression for the distance vector, d, in rectangular form in terms of d and θ, in a coordinate system with the dish at the origin and the unit vectors i and j in the horizontal and vertical directions. (to the right and up)
d = d * (cos θ * i + sin θ * j) is an expression for the distance vector, d, in rectangular form in terms of d and θ, at the origin and the unit vectors i and j in the horizontal and vertical directions.
What is vector?
A vector is a mathematical object used to represent a quantity with both a magnitude and a direction. Vectors can be used to represent physical quantities such as forces, velocities, and accelerations. They can also be used to represent mathematical operations such as addition and subtraction. Vectors can be represented graphically by drawn arrows, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction. Vectors can also be represented mathematically as a combination of components in a given coordinate system, with each component representing a different direction. Vectors can be added together to create a resultant vector, and can be used to represent the result of any mathematical operation with two or more vectors.
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Sound and light travel at the same speed.
Answer:
False, I assume that is what you were looking for.
Explanation:
The speed of light is much faster than sound.
The ratio of length to width of a rectangular garden is 6:7 if the perimeter of the rectangle is 78m what is the area? in meters.
Answer:
378 [tex]m^{2}[/tex]
Explanation:
Explain why the function is discontinuous at the given number a. (select all that apply. )
The function is discontinuous at the given number a are: the function is undefined at a, the function has a sharp corner at a, he function has a hole at a, the function is not continuous at a.
What is function?
Function is a block of code or routine that performs a specific task. It has a name, a set of parameters, and a body of code that performs the task. Functions can be used to divide a large task into smaller and more manageable parts. They can also be reused in multiple programs to perform the same task. Function is also a type of abstraction that simplifies the programming process. It allows developers to break down a problem into smaller parts, making it easier to understand and debug. Additionally, functions can be used to reduce code repetition and improve readability. In short, functions are an essential tool for creating efficient and reliable software.
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What advantages and disadvantages does that offer Khadim as an author?
The advantage that offers Khadim as an author is to impress the reader through their ideas, objectives, emotions, and literary devices.
What is the fundamental work of an author?The responsibilities of an author include writing original stories for novels, plays, television scripts, and movies. Authors also write journals, develop story elements, and rewrite and revise pieces written by other writers.
With respect to advantages, an author must also have numerous disadvantages. The most important disadvantage is facing criticism from the author whenever an author makes slight mistakes in expressing their thoughts. In this circumstance, the audience all the time never gives excuses or pardons to the author which he certainly deserves.
Therefore, the advantage and disadvantages that offers Khadim as an author are well described above.
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What should you do in parallel in order to not get bored, if you start a habit of long studying hours ?
And that activity shouldn't be distracting either.
Answer:
Mix up your topics. To help you not get bored while you are studying, you should change up the topics that you are studying. It is unlikely that you only have one subject to study for at a time, so mix up what you study every half an hour to an hour or so.
Explanation:
Megan Finder, a recent college graduate, is applying for her first credit card. The creditor has asked for a personal net worth statement. Megan owns a scooter worth $2,000. 00 and has $800. 00 in her checking account. She owes Jaycee Auto $920. 00 and River College $125. 0. Complete a net worth statement for Megan Finder. Select Current Date in the appropriate field. Assets should be listed in order of liquidity, so Cash should be listed first. Liabilities should be reported in alphabetic order
Answer:
Explanation:
Given assets are scooter worth $2000, $800 in her checking account.
So total assets = 2000+800 = $2800
And liabilities are which are owed that is $920 and $125.
So total liabilities = 920+125 = $1045
Net worthy = 2800-1045 = $1755
About liabilityA liability is an obligation owned by a person or company that must be paid based on a certain period, usually based on the value of money. But besides money, liabilities can be in the form of obligations in the form of services, goods, or other economic benefits. In recording the balance sheet, liabilities will be recorded on the right or opposite to assets.
In the accounting equation then abbreviated as ALE which consists of assets, liabilities and equity.
The formula, assets = debt + capital.
Some examples of liabilities are debts, loans, mortgages, deferred income, bonds, guarantees, and other accrued expenses.
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Which two species do you infer are the least closely related to humans?billy bob thornton
Answer: Octopuses, salamanders
Explanation: octopuses have more than one heart have blue blood and have no bones salamanders have gills and other stuff
Using the number of amino acid differences, it would appear that the two birds are more closely related (had a common ancestor very recently), while the two fungi would have to trace their common ancestry much farther back in time (much more distantly related).
What is a specie be?A species is an organism's fundamental unit of classification, taxonomic rank, and biodiversity in biology. A group of organisms known as a biological species can reproduce with one another in the wild and give birth to healthy offspring.
The billions of people on the planet today are all members of the same species, Homo sapiens. Human beings differ among themselves, just like other species do, in terms of everything from size and shape to skin tone and eye color. However, we are much more alike than we are different.
Based on the information, the birds are more closely related as they have a common ancestor very recently.
The complete information is Illustrated below.
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The number of amino acids in human cytochrome c differs between humans and the species at left.Which two species do you infer are the least closely related to humans?