PLS HELP ME COMPLETE 1 AND 2! 90 points! ​

PLS HELP ME COMPLETE 1 AND 2! 90 Points!

Answers

Answer 1

Answer:

1.

a) Slope: 1/3. Y-intercept:-2.

b) y=1/3x-2

2.

a) y=9.50x+15

b) To solve, substitute 12 in for x. y=9.50(12)+15. y=114+15. y=129. It will cost $129 for a full year membership.


Related Questions

Pls answer correctly quickly

Answers

Answer:

3

Step-by-step explanation:

tan(A) = y-coordinate / x-coordinate

tan(A) = -3 / -1

tan(A) = 3/1

tan(A) = 3

Therefore, the value of tan(A) is 3.

What number is negative and is the absolute value of 16

Answers

Answer: -16

Step-by-step explanation:

The distance away from zero is 16 and -16 is negative + do u do rsm

Use Stokes´ Theorem to evaluate ∬s.curl F•nds. Assume that the Surface S is oriented upward.

F= (6yz)i+(5x)j+ (yz(e^(x^2)))k. ; S that portion of the paraboloid z=(1/4)x^2+y^2 for 0≤z≤4

Answers

The surface integral in terms of ρ and θ ∫∫S.((6y - 5)e^(x^2))

To evaluate ∬s.curl F•nds using Stokes' Theorem, we first need to find the curl of the vector field F and then compute the surface integral over the given surface S.

Given vector field F = (6yz)i + (5x)j + (yz(e^(x^2)))k, let's find its curl:

∇ × F = ∂/∂x (yz(e^(x^2))) - ∂/∂y (5x) + ∂/∂z (6yz)

Taking the partial derivatives, we get:

∇ × F = (0 - 0) i + (0 - 0) j + (6y - 5)e^(x^2)

Now, let's parametrize the surface S, which is the portion of the paraboloid z = (1/4)x^2 + y^2 for 0 ≤ z ≤ 4. We can use cylindrical coordinates for this parametrization:

r(θ, ρ) = ρcos(θ)i + ρsin(θ)j + ((1/4)(ρcos(θ))^2 + (ρsin(θ))^2)k

where 0 ≤ θ ≤ 2π and 0 ≤ ρ ≤ 2.

Next, we need to find the normal vector n to the surface S. Since S is oriented upward, the normal vector points in the positive z-direction. We can normalize this vector to have unit length:

n = (∂r/∂θ) × (∂r/∂ρ)

Calculating the partial derivatives and taking the cross product, we have:

∂r/∂θ = -ρsin(θ)i + ρcos(θ)j

∂r/∂ρ = cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k

∂r/∂θ × ∂r/∂ρ = (-ρsin(θ)i + ρcos(θ)j) × (cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k)

Expanding the cross product, we get:

∂r/∂θ × ∂r/∂ρ = (ρcos(θ)(1/2)(ρcos(θ)) - (1/2)(ρcos(θ))(-ρsin(θ)))i

+ ((1/2)(ρcos(θ))sin(θ) - ρsin(θ)(1/2)(ρcos(θ)))j

+ (-ρsin(θ)cos(θ) + ρsin(θ)cos(θ))k

Simplifying further:

∂r/∂θ × ∂r/∂ρ = ρ^2cos(θ)i + ρ^2sin(θ)j

Now, we can calculate the surface integral using Stokes' Theorem:

∬s.curl F•nds = ∮c.F•dr

= ∫∫S.((∇ × F)•n) dS

Substituting the values we obtained earlier:

∫∫S.((∇ × F)•n) dS = ∫∫S.((6y - 5)e^(x^2))•(ρ^2cos(θ)i + ρ^2sin(θ)j) dS

We can now rewrite the surface integral in terms of ρ and θ:

∫∫S.((6y - 5)e^(x^2))

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My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change​

Answers

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

help.
The points A’ (2, -2), B’(5, -5) and C’(-1, -5) are vertices on a coordinate plane. This triangle can be obtained by applying a translation to a reference triangle with the
vertices points A (0, 1), B(3, 4) and C(-3, 4). Determine the general translation pattern that took place and explain the effect it had on the y-coordinates. You may use the graph provided to assist you.

Answers

The translation pattern that took place is given as follows:

(x, y) -> (x + 2, y - 9).

The effect on the coordinates is given as follows:

x + 2: translation right two units.y - 9: translation down nine units.

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.

Hence the composite translation rule from ABC to A'B'C' is given as follows:

(x, y) -> (x + 2, y - 9).

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How do you calculate the area of a road? Please help. (Picture shown to calculate the road)

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Calculating the area of a road involves considering the road's shape and cross-sectional profile. There are two common methods for calculating the area:

How to find the area of a road

Cross-Sectional Area Method: This method involves measuring the width of the road at regular intervals along its length and taking elevation measurements. By dividing the road into sections and multiplying the width by the corresponding elevation difference, you can calculate the area of each section and sum them up to obtain the total road area.

Digital Terrain Model (DTM) Method: This method uses advanced surveying techniques to obtain a digital terrain model of the road surface. By applying surface area algorithms to the DTM, you can calculate the surface area of the road, considering the elevation data and interpolating the area between points.

The chosen method depends on available data, accuracy requirements, and project needs. It is essential to refer to engineering standards and guidelines specific to your region or project for accurate and appropriate road area calculations.

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help me solve math please

Answers

The measures of central tendency of the dataset, and the measurements in the dataset indicates;

(a) Mode

(b) Mean

(c) Mean, Median

(d) Roughly symmetrical

What is a measure of central tendency?

Measures of central tendency are descriptive statistical values that represent the typical value or centerpoint of a data set.

(a) The mean of a data set always has only one value. The mode of the dataset are 11 and 14. Therefore, the measure of central tendency that takes more than one value is the mode. The correct option is therefore;

Mode

(b) The mode will remain the same. The middle value or median will remain the same. The mean, which i the average value will increase. The correct option for measure of central tendency that will be affected by the change is therefore the mean.

Mean

(c) The smallest measurement which is 1, if removed, the mean will change and the median will change from 11 to (10 + 11)/2 = 10.5. The correct options for the measures of central tendency that will change are therefore;

Mean

Median

(d) The distribution of the original dataset can be presented as shown in the histogram, which is symmetrical about the class with one of the modes, indicating that the original data is roughly symmetrical about the class with the mode 11. The correct option is therefore;

Roughly symmetrical

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write bicontional statement

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The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

What is the biconditional statement.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Multiplicative Comparison
Kendra and Madison draw dolphins in art class. Kendra draws
4 dolphins. Madison draws 6 times as many dolphins as Kendra.
How many dolphins does Madison draw?
Let d stand for the number of dolphins Madison draws.
Which bar model represents the problem?
Kendra 4
Madison 6
Kendra
Madison 4 4 4
d
4
4
Kendra 4
Madison 4
Kendra
Madison
4 4 4
4
4
6 6 6
d
6
6
6

Answers

Kendra | | | |

Madison | | | | | | | | | | | | | | | | | | | | | | | |

Madison drew 24 dolphins.

To solve this problem, we need to use the information given in the problem and represent it in a bar model. Let's use the following bar model:

Kendra: 4 dolphins

Madison: 6 times as many dolphins as Kendra

Kendra | | | |

Madison | | | | | | | | | | |

From the model, we can see that Kendra drew 4 dolphins and we don't know how many dolphins Madison drew, which is represented by "d". The problem tells us that Madison drew 6 times as many dolphins as Kendra, so we can multiply Kendra's number of dolphins by 6:

Kendra: 4 dolphins

Madison: 6 x 4 = 24 dolphins

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if cos theta= 0.58, find theta given that theta lies between 180° and 360°​

Answers

Answer:

Step-by-step explanation:

cos θ=0.58

[tex]\theta=cos^{-1} (0.58) \approx 54.55^\circ,(360-54.55)^\circ\\\theta=305.45^\circ[/tex]

∵ θ lies between 180° and 360°

Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.

Answers

Answer:

Step-by-step explanation:

What the meaning of statement this?

Answers

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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Find the volume of each composite figure to the nearest whole number.

Answers

The volume of the composite figure in this problem is given as follows:

76 ft³.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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i really need help with this one questiojn

Answers

let's keep in mind that an inverse function has the same x,y pairs as the original function but flipped sideways, another mouthful way to put it is, the domain of the original function is the range of the inverse and the range of the original is the domain of the inverse.

well, since that's the case for g(x), Check the picture below.

now let's check for h⁻¹(x)

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{h(x)}{h}~~ = ~~\cfrac{x-9}{7}\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{h-9}{7}} \\\\\\ 7x=h-9\implies 7x+9=h ~~ = ~~ h^{-1}(x)[/tex]

now, what's [tex]\left( h^{-1}\circ h \right)(-5) ~~ \implies ~~ h^{-1}(h(-5))\textit{\LARGE ?}[/tex]

we know that h(x) is a one-to-one function and its inverse is a function, since that's the case h⁻¹(  h(x)  ) = x.

what the heck all that means?  well, it simply means that

[tex]\left( h^{-1}\circ h \right)(-5) ~~ \implies ~~ h^{-1}( ~~ h( ~~ \text{\LARGE -5} ~~ ) ~~ )~~ = ~~\text{\LARGE -5}[/tex]

If you know the answer put and explanation for it please thank you

Answers

Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = [tex]\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}[/tex]

        = [tex]\frac{28+150+32+51+234}{30}[/tex]

       = [tex]\frac{495}{30}[/tex]

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

A skateboarder gets paid 10,000 fo4 winning a competition he puts it in a savings account that increases at 7% per year.How much money will he have after 8 years show graph

Answers

The amount of money he will have after eight years of savings would be = 15,600.

How to calculate the total amount of money the skateboarder?

To calculate the total amount of money the skateboarder will have after the number of giveyears, the formula that should be used would be given below as follows:

Simple interest = Principal×time ×rate /100

Where:

principal = 10,000

Time = 8 years

Rate = 7%

Simple interest = 10,000×8×7/100

= 560000/100

= 5600

The total amount of money the skateboarder will have will be = 10,000+5600 = 15,600

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A house on the market was valued at 432,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

Answer:

$393,120

Step-by-step explanation:

To find the decrease in the house's value in dollars, we need to calculate 9% of the initial value:

Decrease in value = (Initial value) * (Percentage decrease) = $432,000 * 9%

Converting the percentage to a decimal:

Decrease in value = $432,000 * 0.09 = $38,880

The house's value decreased by $38,880.

Now, to find the current value of the house, we need to subtract the decrease in value from the initial value:

Current value = Initial value - Decrease in value = $432,000 - $38,880 = $393,120

The current value of the house is $393,120.

Hope this helps!

Please help me with this ​

Answers

Step-by-step explanation:

I'm pretty sure you just use the law of cosines in this case.

c= sqrt(a^2+b^2﹣2ab (cos γ))
where a is a Side, b is a Side, γ is Gamma or the angle. Sqrt means square root

In your case, a is 20, b is 13, and  γ is 93. Just plug it into the formula now :). I got 24.41751 ish.

Is 2x + 4 the same as 4 + 2x? ANSWER??????????//

Answers

Answer:Yes

Step-by-step explanation:

By the communitive property, they are equal to each other.

Which statements are correct? Select all that apply.
Expanding is the same as using the distributive property.
Factoring means going from ab + ac to a(b + c).
Factoring can only be done when an expression has two terms.
Factoring can only be done when an expression has plus signs.

Answers

Statement 1, 2 and 3 are correct about using the distributive property.

Expanding is the same as using the distributive property. Factoring means going from ab + ac to a(b + c).Factoring can only be done when an expression has two terms.

Statement 1: Expanding is the same as using the distributive property. The distributive property states that a(b + c) = ab + ac. When we expand an expression, we are multiplying everything out. So, expanding an expression is the same as using the distributive property. Therefore, this statement is correct.

Statement 2: Factoring means going from ab + ac to a(b + c).When we factor an expression, we are essentially undoing the distributive property. In other words, we are going from a common factor in the two terms to a product. This is exactly what happens when we factor ab + ac to a(b + c). Therefore, this statement is correct.

Statement 3: Factoring can only be done when an expression has two terms. Factoring is the process of breaking down an expression into simpler factors. However, in order to do that, the expression needs to have two or more terms. If the expression only has one term, then we cannot factor it. Therefore, this statement is correct.

Statement 4: Factoring can only be done when an expression has plus signs. This statement is incorrect. Factoring can be done when an expression has either plus signs or minus signs. For example, we can factor x² - 4 to (x + 2)(x - 2). Therefore, this statement is incorrect.

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4. Set up a linear system of equations for the following application problem. Remember to
follow the steps of problem solving. DON'T FORGET TO DECLARE YOUR VARIABLES.
Use the graphical method to solve the system and remember to write a verbal answer for your
solution.
The campus bookstore recently sold a total of 144 calculators. Some of these were the cheap
Basic Grapher model (which sells for $23 each) and the rest were the exquisite SuperGrapher
model (which sells for $90 each). The bookstore received a total of $10347 from that sale of
these two calculators. Use your mastery of algebra to help the bookstore find how many
Basic Graphers and how many SuperGraphers were sold.
Invisni
TOTAL

Answers

The system of equations that represents this is:

x + y = 144

x*23 + y*90 = 10347

Solving it, we conclude that they sold 39 of the Basic ones and 105 of the Super ones.

How to set up the system of equations?

To do this, first we need to define the variables we will be using. Let's define:

x = number of basic graphers sold.

y = number of SuperGraphers sold.

They sold a total of 144 items, so x + y = 144

And they earned a total of $10347, then we can write:

x*23 + y*90 = 10347

Then the system of equations that represents this is:

x + y = 144

x*23 + y*90 = 10347

The graph of this system is on the image below, there we can see that the solution is (39, 105).

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In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____

Answers

Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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If you sleep 6 hours out of 24 hours, what percent of the time do you sleep? Please answer quickly and provide how to get the answer as well! :)

Answers

twenty five percent. you simply divide 6 by 24.

Usually Anna works 36 hours per week. However, last week she worked only 28 hours. Find each percent of change to the nearest whole percent. Label as an increase or decrease.

Answers

Answer:

The percent of change in Anna's working hours is 22%, indicating an increase.

Step-by-step explanation:

Step 1: Calculate the difference:

Difference = 36 hours - 28 hours

Difference = 8 hours

Step 2: Calculate the percent change:

Percent Change = (Difference / Original Value) * 100

Percent Change = (8 hours / 36 hours) * 100

Percent Change ≈ 22.22%

Therefore, the percent change in Anna's working hours is approximately 22.22%, representing an increase.

gIVE ME ANSWER QUICKLY PLEASE

Answers

Covariance between two variables x and y is -9/56 (= -0.160). Option C

How do we solve for the Covariance between the variables?

Covariance between two variables is a measure of how much the variables change together. It's calculated with the formula:

Cov(X, Y) = E[XY] - E[X]E[Y]

Where:

E[XY] is the expected value of the product of X and Y.

E[X] is the expected value of X.

E[Y] is the expected value of Y.

First, we need to calculate E[X], E[Y], and E[XY].

E[X] = ∑ x × g(x) for all x

= 0×(5/14) + 1×(15/28) + 2×(3/28)

= 15/28 + 6/28 = 21/28 = 0.75

E[Y] = ∑ y × h(y) for all y

= 0×(15/28) + 1×(3/7) + 2×(1/28)

=0.5

E[XY] = ∑∑ xyf(x, y) for all (x, y)

= 00(3/28) + 01(3/14) + 02(1/28) + 10(9/28) + 11(3/14) + 12(0) + 20(3/28) + 21(0) + 22(0)

= 0.2143

Now we can substitute these values into the formula for Cov(X, Y):

Cov(X, Y) = E[XY] - E[X]E[Y]

= 0.2143 - (0.75)×(0.5)

= -0.1607

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jasmine made a pitcher of lemonade. One pitcher contains 12 glasses of lemonade. asmine serves 4 glasses of lemonade, how many more glasses, &, can she Choose the answer that represents the correct equation and solution.

Answers

Jasmine has 8 glasses of lemonade remaining in the pitcher.

Jasmine made a pitcher of lemonade, which contains 12 glasses of lemonade. She served 4 glasses of lemonade, and we need to determine how many more glasses she has left.

To solve this problem, we can subtract the number of glasses served from the total number of glasses in the pitcher:

12 (total glasses) - 4 (glasses served) = 8 (glasses remaining)

Therefore, Jasmine has 8 glasses of lemonade left in the pitcher after serving 4 glasses.

In terms of the equation, we have:

Total number of glasses - Number of glasses served = Number of glasses remaining

Or:

12 - 4 = 8

So, the correct equation and solution are:

12 - 4 = 8

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a box is 12 centimeters wide, 12 centimeters long, and 15 centimeters tall. what is the total surface area of 4 such boxes

Answers

Answer: 4032 cm^2.

Step-by-step explanation: The equation to find the surface area of a rectangular prism is SA=2(wl+hl+hw). Substitute the given values into the equation. SA=2(12x12+15x12+15x12). Simplify inside the parentheses. SA=2(144+180+180). SA=2(504). SA=1008 cm^2. This is the surface area for 1 box. Multiply the surface area by 4 to get the total surface area of 4 congruent boxes. 1008x4=4032 cm^2.

627 x 26

how do you solve this problem using standard algorithm

Answers

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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ejemplos sobre experimentos aleatorios con orden,remplazo y sin repeticion

Answers

De acuerdo con la información, podemos inferir que un ejemplo de experimento aleatorio con orden y reemplazo: Lanzar un dado y registrar el resultado en cada lanzamiento.

¿Qué ejemplo podemos encontrar de un experimento aleatorio con orden, remplazo y sin repetición?

Los experimentos aleatorios tienen diferentes formas de aplicación según su tipo, a continuación explicamos algunos:

Orden implican registrar los resultados en secuencia, mientras que los experimentos.Sin orden no tienen en cuenta el orden en que ocurren los resultados.Con reemplazo, los elementos pueden repetirse en cada selección, mientras que en los experimentos.Sin reemplazo, los elementos seleccionados ya no están disponibles para selecciones posteriores.

De acuerdo con lo anterior, UN ejemplo de experimento aleatorio con orden y reemplazo: Lanzar un dado y registrar el resultado en cada lanzamiento.

Question in English

Give examples of randomized experiments with order, replacement, and no repetition.

Answer in English

Based on the information, we can infer that an example of a random experiment with order and replacement: Throw a die and record the result on each throw.

What example can we find of a random experiment with order, replacement, and no repetition?

Random experiments have different forms of application depending on their type, some of which are explained below:

Order involve recording the results in sequence, while experiments. Orderless do not take into account the order in which the results occur. With replacement, items can be repeated in each selection, while in experiments. Without replacement, the selected items they are no longer available for subsequent selections.

Based on the above, ONE example of a random experiment with order and replacement: Roll a die and record the result on each roll.

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Two hens can lay 2 eggs in 2 minlutes if that is the maximum speed how many hens can lay 500 eggs in 500 minutes

Answers

If two hens can lay 2 eggs in 2 minutes at their maximum speed, it means each hen lays one egg in 2 minutes. Therefore, in 500 minutes, each hen would lay 250 eggs (500 minutes divided by 2 minutes per egg).

To determine how many hens are needed to lay 500 eggs in 500 minutes, we divide 500 eggs by the number of eggs laid by each hen in 500 minutes. In this case, 500 eggs divided by 250 eggs per hen equals 2 hens.

So, you would need two hens to lay 500 eggs in 500 minutes at their maximum speed.
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It is believed that Beethoven wished to marry countess Bacardi.True or False. How useful are codes of conduct in helping managers make ethical decisions across culture? each of the boxes, with masses noted, is pulled for 10 m across a level, frictionless floor by the noted force. which box experiences the largest change in kinetic energy? English questionwhat is circular reasoning fallacy. Please give at least 4 simple examples.Please explain each example by mentioning how this fallacy relate to each examples.Please do not forget to mention the role of this fallacy in each example.Thank you so much Boxes A and B are being pulled to the right on a frictionless surface; the boxes are speeding up. Box A has a larger mass than Box B. How do the two tension forces compare? Suppose you recently sold your used car. Assume that no new production was involved in this transaction.Wealth was created because the buyer's willingness to pay was (EQUAL TO GREATER THAN, LESS THAN) the value of your willingness to sell.Suppose you sold the car for $26,000.If the minimum price, or "bottom line," you would accept for the car is $15,000 and the most the buyer is willing to pay is $37,000, then the seller surplus is $______ and the buyer surplus is $______. The total surplus created by the transaction is $_______. Question 1 (5 Marks) Durlio PPE SDN BHD, a melt blown fabric and mask manufacturer in Malaysia is planning to introduce their new products; a 4-ply face mask with multi-color and customized printing design and N95 rated respirator face masks to the market. As a business analyst, you are required to help the company to calculate the combination of quantity for both products to be produce and sell to get the maximum profit. The Linear Programming model is as follows: S = quantity of 4-ply face mask, T = quantity of N95 respiratory face masks Max Z = 6S + 4T subject to: 5S + 7T 35 (constraint equation for polypropylene material in meter) 2S + 5T 60 (constraint equation for labor in hours) S, T > 0 i.What is the method that can be used to solve the above problem? (2 marks). ii. Develop a standardized linear programming model for the above problem (3 marks). ILLUSTRATION 28. Jhin Trading Co. Ltd. has an authorised Capital of $ 8,0 10.000 6% Preference Shares of $ 10 each; 20.000 7% Preference Shares of $ 10 each; and 15.000 Equity Shares of $ 10 each. On January 1, 2007, the whole of the two classes of preference shares and 15,000 of the equity shares stood in the books as fully paid. The securities premium account as on that date showed a balance of $ 20,000. The balance of profit was $ 32,000. On July 1, 2007 it was decided to deem the whole of 6% preference shares at a premium of $ 1 per share and for this specific purpose, the company issued for cash 8,000 equity shares of $. 10 each at a premium of $ 2 per share, payable full on allotment. All the above shares were taken up. The cost of issue of shares amounted to $3,000. On October 1 the company issued to existing shareholders one bonus share of $. 10 fully paid for each five shares held. It is the intention of the directors that minimum reduction should be made in revenue reserve account which stood at $. 1,25,000. Give necessary Journal entries. How to calculate cash realizable value of the receivables if accounts receivable has credit balance?CK Inc. had net sales in 2020 of $800,000. At Dec. 31, 2020, the following information was listed which was about the balances in selected accounts before adjusting entries:Accounts receivable credit balance: $150, 000Allowance for doubtful accounts debit balance: $1,500Estimated uncollectable receivable: 2% of net salesQ1. At Dec. 31, 2020, on the CK Inc.s statement of financial position, what is the cash realizable value of the receivables? the effect of the sympathetic nervous system on the heart is to . A. decrease the heart rate B. increase the heart rate C. decrease the heart rate and decrease the force of contraction D. increase the heart rate and increase the force of contraction the maximum interest rate a lender can charge under an arm is called what? The most accepted method for classifying consumer goods and services is based on consumer buying behavior. This method divides consumer goods and services into four general categories: convenience, shopping, specialty, and unsought. This exercise provides some general examples of products found in each category. Select the most appropriate category for each good or service listed. 1. Appliances convenience shopping specialty unsought 2. Automobile battery jumpstart services convenience shopping specialty unsought 3. Cemetery plots convenience shopping specialty unsought 4. Clothes convenience shopping specialty 5. Expensive wine convenience shopping specialty unsought 6. Gas convenience shopping specialty unsought 7. Jewelry convenience shopping specialty unsought 8. Milk convenience shopping specialty unsought structural steels are commonly specified according to what standards? Isent this question from yesterday but nobody answered it.Pleasee i need 13.3 answer only479 13.1 Introduction: the importance of forecasting The role of forecasting is extremely important in the larward planning of any company Unfortunately it is never an exact wience as too many unknown Holding everything else constant, if the government engages in deficit spending during an economic expansion:A) government savings will increaseB) the equilibrium interest rate in the loanable funds market will riseC) the equilibrium interest rate in the loanable funds market will fall.D) private investment spending will increase What mainly do the following lines about the ballerinas reveal?a) The ballerinas' talent and skill.b) The ballerinas' dedication to their craft.c) The ballerinas' physical appearance.d) The ballerinas' popularity and fame. Answer questions in two paragraphs.How does "Regret" by Guy de Maupassant represent middle-classvalues and behaviors? When you answer this question, be sure toconsider why M. Savel keeps his love f Some people have argued that the government should provide free medical care to everyone. Under this system Multiple Choice the price of medical care will allocate resources efficiently. the price of medical care will ration resources efficiently. prices will not ration medical care so there will be no scarcity. prices will not ration medical care so some other rationing method will be used. X Consider two firms engaging in sequential Stackelberg competition. Suppose firm 1 decides its quantity x first and firms 2 follows after observing X. The demand function of the market is x(p) = 100 -0.1p and the cost function for both firms is c(x) = FC + 5x a. Suppose first that FC = 0. Derive firm 2's best response function to observing firm 1's output level x. b. What output level will firm 1 choose? c. What output level does that imply firm 2 will choose? d. What is the equilibrium Stackelberg price? e. Now suppose FC is not zero. What is the lowest FC at which firm 1 does not have to engage in strategic entry deterrence in order to keep firm 2 out of the market? Most economist agree that individual labor supply between $40 and $80 and hour is O cyclical. inelastic. O fixed in place. O elastic.