Based the density function of the observed outcome, the probability [tex]P(x\leq \frac{1}{3} )[/tex] is equal to 0.1388.
What is a density function?A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
[tex]f(x)=\left \{ {{2(1-x),\;0 < x < 1} \atop {0,\; otherwise}} \right.[/tex]
Next, we would calculate [tex]P(x\leq \frac{1}{3} )[/tex];
[tex]P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388[/tex]
Read more on probability here: https://brainly.com/question/25870256
17.1 understanding polynomial expressions answer key
The identification of the polynomial expression is as follows:
Binomial, degree 2Trinomial degree 6Monomial, degree 4What is a polynomial?A polynomial shows the relation of more than two algebraic terms and the sum of powers of a polynomial in more than one variable. Polynomials are represented in terms of [tex]\mathbf{kx^n}[/tex];
where;
k = any numbern = positive integer.The degree of a polynomial expressions can be:
MonomialBinomial TrinomialLet's assume we have the following equation;
6b² - 7x²y - 9x⁴y²+ 3xy35r³sTheir degree of polynomial expression is:
Binomial, degree 2Trinomial degree 6Monomial, degree 4Learn more about polynomial here:
https://brainly.com/question/4142886
the elastic rebound theory for the origin of earthquakes was first proposed by ________ following the ________ earthquake.
Answer:
1. 1906 2. San Francisco
In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the frequency is increased to 784 hz?
The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
Wavelength
Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity and f is frequency.
Given the data in the question;
Frequency of sound wave a; [tex]f_a = 196Hz = 196s^{-1}[/tex]Wavelength of sound wave a; [tex]\lambda _a = 1.76m[/tex]Speed of sound wave; [tex]v =\ ?[/tex]
Frequency of sound wave b; [tex]f_b = 784Hz = 784s^{-1}[/tex]Wavelength of sound wave b; [tex]\lambda _b = ?[/tex]
First, we calculate the velocity of the sound wave in air from sound wave a.
[tex]\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s[/tex]
Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.
[tex]\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m[/tex]
Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
Learn more about wavelength: https://brainly.com/question/27120701
Answer:
It decreases by 1.32 meters.
Explanation:
The other person was wrong.
How many revolutions does the smaller gear complete during a single revolution of the larger gear?
Answer:
As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.
7-3 mortgage application process worksheet answers
The mortgage process is known to be a very complicated on but its involves:
Pre-approvalHouse shoppingMortgage applicationLoan processingUnderwriting Closing.What occurs when a mortgage application is submitted?When one has submitted papers for a mortgage, The lender will have to review your application and documentation and see if one qualifies.
They often check the property through the act of lender's valuation. and by the reviewing of your application and the result of the valuation, they will make final decision regarding if they will give you or not.
Learn more about mortgage application from
https://brainly.com/question/22598793
When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has
Answer:
an should be there isn't it
What are your impressions of the following character? is he a strong or weak character? jasper what are his primary characteristics?
My impressions of the characters from the story in his steps are :
Rachel is strong.Her primary characteristics is that she is a beautiful singer.Jasper is a Young writer.What is the term impression about in the text?Impression connote the views or opinions one has concerning a person.
Based on the text, The impressions of the Rachel character is known to be that she has a strong character. Rachel primary characteristics is that she is in her 20's and a beautiful singer at her Church.
Jasper on the other hand is quite a young writer that was in love with Rachel and He also proposed marriage to her.
See full question below
What are your impressions of the following character? Is she a strong or weak character? (from the story in his steps)
Rachel
What are her primary characteristics?
What are your impressions of the following character? Is he a strong or weak character?
Jasper
What are his primary characteristics?
Learn more about impressions from
https://brainly.com/question/16046599
What type of reaction present on this equation 2mgl + mn(so) → 2mgso + mnl
The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄) is a double displacement reaction.
Balanced chemical reaction2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄
The reactant of the reaction is on the left side while the product of the reaction is on the right side.
Double displacement (Metathesis)Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.
The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.
learn more on chemical reactions here: https://brainly.com/question/1377978
A triangle has side lengths of 34 in 28 in and 42 in
Answer:
quizlet/494283439
Explanation:
I used this for my test not sure if im too late or not but here it for future students
Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):
6. B.292.3 meters
7. B.154 ft
8. D.912 meters
9. A.307 feet
Again these were the correct answers for me not sure if its the same for everyone they might have changed it.
(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))
Which mexican state is a popular tourist destination
Answer:
Oaxaca
Explanation:
Oaxaca de Juárez is one of the most important destinations in Mexico
Calculate the ph when 20.0 ml of 0.150 m koh is mixed with 20.0 ml of 0.300 m hbro (ka = 2.5 × 10⁻⁹)
The pH of the solution is 10.74. the pH refers to the hydrogen ion concentration. It is a measure of the acidity of the solution.
What is pH?pH is the degree of acidity or alkalinity of a solution.
The equation of the reaction is;
KOH + HBrO ==> KBrO + H2O
The number if moles of KOH =20.0 ml x 1 L / 1000 ml x 0.150 mol/L = 0.003 moles KOH
The number of moles of HBrO = 20.0 ml x 1 L / 1000 ml x 0.300 mol/L = 0.006 moles HBrO
Since the reaction is 1:2;
[BrO-] = 0.003 mols / 0.04L = 0.075M
Now the pH, is obtained from;
KBrO + H2O ==> KOH + HBrO
BrO- + H2O ==> HBrO + OH-
Kb of BrO- = 1x10-14 / 2.5x10-9 = 4x10-6
Kb = 4x10-6 = [HBrO][OH-] / [BrO-]
From the ICE table;
4x10^-6 = (x)^2 / 0.075
x = 5.48x10-4 M = [OH-]
pOH = -log 5.48x10-4 M = 3.26
pH = 14 - pOH
pH = 10.74
Learn more about pH: https://brainly.com/question/15289741?
True or false: person vs. self is the only internal conflict.
the ans for this is true as it i the only internal struggle
A construction company is building a new neighborhood hackerrank
The building of a hacker rank is one that cost a lot of money and as such the minimum cost is 4.
What is the minimum cost?The minimum cost is the lowest cost that is needed to complete a building. It depends on:
The cost of each type of house to be built (e.g. cost of a wood house, cost of a brick house, etc.)The number of the type of house to be built e.g. 2 03 3 or even more.When one is given input such as : [[1,2,3],[1,2,3],[3,3,1]] (the values in column stands for the cost of materials)
The output : 4
So you have to:
Select material-1 of cost 1 in first house(row)
Select material-2 of cost 2 in second house(row)
Select material-3 of cost 1 in third house (row)
total = 1+2+1 -> 4
Learn more about construction from
https://brainly.com/question/1316149
Big ideas math: modeling real life grade 6 assessment book answer key
There are different ways to model real life grade scenario. An example is Numerical Expressions and Factors.
An example is: create a Venn diagram that represents the prime factorizations of 36 and 48.
What is Big Ideas Math 6 Book about?They are known to be a form of well organized and lucidly explained text about mathematics that is aimed towards students. They are made up of tests, quizzes, assessments and others.
The Venn diagram that represents the prime factorizations of 36 and 48 is in the image attached.
Learn more about modeling real life from
https://brainly.com/question/24696692
What happens when you fire a gun from the perspective of the 3rd law
Answer:
forces the gun back in the opposite direction
Explanation:
Newton's Third law of Motion describes that when you shoot a gun, the action of the bullet firing out of the gun in one direction forces the gun back in the opposite direction because of the power of the bullet.
=================================================================
hello here is your answer!
juice~
Overall, the style of the passage is best described as conversational conversational digressive digressive cryptic cryptic lyrical lyrical intellectual
It should be noted that the Overall style of the passage is best described as intellectual.
What is meant by Intellectual?Intellectual passage is used in critical thinking as well as research.
Therefore, we can see how the author made the narration and makes use of specific words, and critical thinking which made the work a intellectual one.
Learn more about intellectual at;
https://brainly.com/question/22754902
Lesson 27 making statistical inferences answer key
A statistical inference is a process through which a researcher or analyst makes inferences about a population based on the statistics calculated from the sample.
What is the use of Statistical Inference?The purpose of statistical inferences are:
Learn more about Statistical Inferences at:
https://brainly.com/question/16816799
In order to be allowed to engage in activities to promote and enhance
How to simplify numerical expressions with exponents
Answer:
By multiplying it with each others
Answer:
multiply
Explanation:
Suppose a five-year, bond with annual coupons has a price of and a yield to maturity of . what is the bond's coupon rate?
The bond's coupon rate with an annual coupon that has a price of $903.35 and the yield to maturity will be 3.33%.
How to calculate the coupon rate?It should be noted that the formula for calculating the coupon rate is given as:
= Annual coupon / Face value
From the complete question, the annual coupon is $33.30 and the face value is $1000. Therefore, the coupon rate will be:
= Annual coupon / Face value
= 33.30/1000
= 3.33%
Learn more about coupon rate on:
https://brainly.com/question/7459025
Write the expression for the solubility-constant for hydroxyapatite
An expression for the Ksp for hydroxyapatite would be written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
What is solubility constant?In Chemistry, the solubility product constant (Ksp) can be defined as the equilibrium constant that describes a solid substance (solute) which is being dissolved in an aqueous solution.
This ultimately implies that, Ksp is typically used in chemistry to denote an equilibrium level at which a solute dissolves in an aqueous solution.
Mathematically, an expression to represent the solubility product constant (Ksp) for hydroxyapatite is written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
Read more on solubility product here: https://brainly.com/question/15396081
A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.
The probability both balls are black, given that the first one is black, is gotten as; ⁵/₁₂
What is the probability of Selection?
By using the probability of an event formula,
There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂
Since the balls are drawn with replacement, the two draws are independent events.
Use Multiplication and Union Rules to obtain the following probability:
P(F) = P(B, B) + P(B, W)
P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)
P(F) = ⁵/₁₂
Thus, the probability both balls are black, given that the first one is black, is ⁵/₁₂
Read more about probability of event at; https://brainly.com/question/7965468
Betty baked a batch of blueberry muffins. baking is an example of (2 points)
Determine the form of each augmented matrix: 4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13
The forms of each of the matrices depicts how the row and column elements of the matrices are arranged
The matrix A is in row echelon formThe matrix B is in reduced row echelon formThe matrix C is is neither in row echelon form nor in reduced row echelon formHow to determine the form of the matrices?The matrix A is given as:
[tex]\left[\begin{array}{cccc}4&11&2\\0&-5&8\\0&0&-2\end{array}\right]\left[\begin{array}{c}-6&7&3\end{array}\right][/tex]
The elements on the leading diagonals are: 4, -5 and -2
The elements under the leading diagonals are 0, 0 and 0
When the elements under the leading diagonals are 0, then the augmented matrix is row echelon form
The matrix B is given as:
[tex]\left[\begin{array}{cccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\left[\begin{array}{c}-6&3&3\end{array}\right][/tex]
The elements on the leading diagonals are: 1, 1 and 1
All other elements in the matrix are 0's
When the elements on the leading diagonals are 1's, and other elements are 0's, then the augmented matrix is reduced row echelon form
The matrix C is given as:
[tex]\left[\begin{array}{cccc}1&0&3\\0&6&0\\7&0&1\end{array}\right]\left[\begin{array}{c}-6&8&13\end{array}\right][/tex]
The above matrix is neither in row echelon form nor in reduced row echelon form, because it does not satisfies the condition of both forms of matrices
Read more about augmented matrices at:
https://brainly.com/question/11392945
Answer:
in picture below that I got from edg 23 precalc
Explanation:
Suppose the microwave’s power is 900w (1watt=1joule/sec). how long would you have to heat the coffee in part a?
The amount of time that is required for the microwave to heat the coffee is 34.4 seconds.
Given the following data:
Microwave’s power = 900 Watts.Quantity of energy = 30,962 Joules.How to calculate the time.In order to determine the amount of time that is required for the microwave to heat the coffee, we would use this formula:
[tex]Energy = power \times time\\\\[/tex]
Making time the subject of formula, we have:
[tex]Time = \frac{Energy}{Power}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Time = \frac{30962}{900}[/tex]
Time = 34.4 seconds.
Read more on time here: https://brainly.com/question/16894694
In the morning the temperature starts out around 50
By the end of the day it has probably increased.
for any given year, the cpi is the price of the basket of goods and services in the
Answer:
a.given year divided by the price of the basket in the base year, then multiplied by 100.
Explanation:
__________ is bordered by two central asian countries. a. the harirud river b. the caspian sea c. the aral sea d. lake balkhash please select the best answer from the choices provided a b c d
Answer: The Aral sea
Explanation: hope this helps! :)
Two lines that have different slopes i tersect at ecaxtly one point
Answer: If a linear system has no solution, the two lines are parallel. If it has one solution, the lines will intersect at exactly one point because they have different slopes.
block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.
The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².
Kinetic energy of the blocks before collisionThe kinetic energy of the blocks before the collision is calculated as follows;
For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.
K.E(initial) = K.E(after)
K(after) = ¹/₂(m₁ + m₂)vs²
K(after) = ¹/₂(m + 2m)vs²
K(after) = ¹/₂(3m)vs²
[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]
Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².
The complete question is below:
block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.
What is the kinetic energy of the two-block system before the collision?
Learn more about kinetic energy here: https://brainly.com/question/25959744