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.
To learn more about Binomial DIstribution from the given link
https://brainly.com/question/9325204
#SPJ4
What happens if I fail science in highschool but do well in my other classes? Will I be able to graduate? How will it affect me?
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.
To learn more about vector
https://brainly.com/question/25705666
#SPJ4
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.
To learn more about Equivalent Units from the given link
https://brainly.com/question/24214260
#SPJ4
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).
To learn more about the rotation, follow the link;
https://brainly.com/question/1571997
#SPJ1
Answer: 1. -x,-y
2. 180
Explanation:edge
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.
if you switch the locations of the parent genotypes around the Punnett square, does it affect the potential genotypes of their offspring?
If you switch the locations of the parent genotypes around the Punnett square, it would not affect the potential genotypes of their offspring.
What is a Punnett square?A Punnett square may be characterized as a type of table that allows you to determine the expected percentages of different genotypes in the offspring of two parents. It allows the prediction of the percentages of phenotypes in the offspring of a cross from known genotypes.
The potential genotypes of their offspring would not be affected when you switch the locations of the parent genotypes around the Punnett square. This is because the genotypes of the offspring are formed by the random and systematic segregation of their alleles with respect to their genes.
Therefore, if you switch the locations of the parent genotypes around the Punnett square, it would not affect the potential genotypes of their offspring.
To learn more about Punnett square, refer to the link:
https://brainly.com/question/3522181
#SPJ1
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.
Learn more about liability at
https://brainly.com/question/18484315
#SPJ1
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.
To learn more about frictionless surface
https://brainly.com/question/27414902
#SPJ4
identify various limiting factors (abiotic and biotic) in an ecosystem
Answer:
Explanation:
In ecology, biotic and abiotic factors make up an ecosystem. Biotic factors are the living parts of the ecosystem, such as plants, animals, and bacteria. Abiotic factors are the nonliving parts of the environment, such as air, minerals, temperature, and sunlight. Organisms require both biotic and abiotic factors to survive. Also, a deficit or abundance of either component can limit other factors and influence an organism's survival. The nitrogen, phosphorus, water, and carbon cycles have both biotic and abiotic components.
Answer:
Biotic factors are living things within an ecosystem; such as plants, animals, and bacteria, while abiotic are non-living components; such as water, soil and atmosphere. The way these components interact is critical in an ecosystem. Thus, organisms tend to compete for their limited availability in the ecosystem. Different limiting factors affect the ecosystem. They are (1) keystone species, (2) predators, (3) energy, (4) available space, and (5) food supply. Some examples of limiting factors are biotic, like food, mates, and competition with other organisms for resources. Others are abiotic, like space, temperature, altitude, and amount of sunlight available in an environment. Limiting factors are usually expressed as a lack of a particular resource.
Mark brainiest