A probability experiment is conducted in which the sample space of the experiment is S = {2,3,4,5,6,7,8,9,10,11,12,13). Let event E= {3,4,5,6). Assume each outcome is equally likely. List the outcomes

Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Answer:

101

Step-by-step explanation:

To reparametrize the curve with respect to arc length, we need to find the arc length function s(t) and then solve for t in terms of s.

The arc length function is given by:

s(t) = ∫√[r'(t)·r'(t)] dt

where r'(t) is the derivative of r(t) with respect to t.

We can calculate r'(t) as:

r'(t) = (2e^(2t)cos(2t) - 4e^(2t)sin(2t))i + (12e^(2t)sin(2t))j + (2e^(2t)sin(2t) + 6e^(2t)cos(2t))k

Now we can substitute this into the arc length formula and integrate:

s(t) = ∫√[(2e^(2t)cos(2t) - 4e^(2t)sin(2t))^2 + (12e^(2t)sin(2t))^2 + (2e^(2t)sin(2t) + 6e^(2t)cos(2t))^2] dt

This integral looks quite complicated, so we will use a numerical integration method to approximate s(t).

We can use the trapezoidal rule to numerically integrate s(t) between t = 0 and some value t = T:

s(T) ≈ ∑[s(iΔt) + s((i+1)Δt)]/2 * Δt

where Δt = T/n is the step size, and n is the number of intervals we use.

Once we have approximated s(t), we can solve for t in terms of s using numerical methods such as the bisection method or Newton's method.

For example, if we want to find the value of t that corresponds to s = 10, we can solve:

s(t) = 10

for t using numerical methods. Once we have t, we can plug it back into r(t) to get the reparametrized curve in terms of arc length s.

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

5:1

Step-by-step explanation:

ratio would be 1000:200 but simplified. Divide each side by 200. 1000/200= 5 and 200/200=1   5:1

Answer:

The simplified ratio would be 5/1 wich is five people per each duck. To simplify 1,000/200 to 5/1 you simply divide 1,000 by 200 because 1,000 is divisible by 200 to get 5/1 or 5.

Hope this helps! :D

At year-end, White Paw Co. will record an unrealized gain on its investment in Crown, Inc. The journal entry will include a debit to "Fair Value Adjustment" for $21,000 and a credit to "Unrealized Gain on Investment" for $21,000. This entry reflects the increase in market value from $211,000 to $232,000.

The journal entry will have two parts. Firstly, White Paw Co. will record an increase in the value of the investment by $21,000 ($232,000 - $211,000) in the balance sheet. This will be recorded as a debit to the investment account and a credit to the unrealized gain account. Secondly, White Paw Co. will record an increase in the equity method income by the portion of Crown, Inc.'s earnings attributable to the investment.

This will be recorded as a debit to the equity method income account and a credit to the investment account. The portion of Crown, Inc.'s earnings attributable to the investment can be calculated as 11% of the net income of Crown, Inc. for the year.

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c). The entities on which data are collected are called elements.

Data collection is a process of gathering information from different sources which is later used for analysis and interpretation. Data is usually collected from elements, which are individual units like people, organizations, or any other physical or virtual entity.

Each element has a set of characteristics or attributes which are collected to form the data. For example, if data is being collected from people, the attributes would include age, gender, occupation, income, etc. This data is then collected and stored in some form that can be used for further analysis.

Data can also be collected from populations, which are a collection of elements or a group of elements with certain features in common. In this case, the data collected is the average of all the elements in the population, rather than data from individual elements.

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Answer:

7sbbsshhshshdhdhdhdj₹hdhdhdye bcuz

Step-by-step explanation:

fixing call tbhi to go to this tbhi thick to swim6 ce bi cr

The revenue function is R(x) =  $2.46 x and R(x) =  $1.50 x .

Revenue is the total income earned through the sale of goods and services by the company. Thus, revenue is the most important factor to determine the progress of any business. The revenue formula is used to find the revenue.

Revenue Formula = Number of goods sold × Sales Price

According to the question

The manager of a men's store can sell 13 pairs of socks at a price of $2.46 per pair.

i.e

Selling price of 1 pair socks = $2.46

Selling price of 13 pairs of socks = 13 * $2.46  

                                                      = 31.98

If the price is $1.50, she can sell 29 pairs.  

i.e

IF Selling price of 1 pair socks = $1.50

If Selling price of 29 pairs of socks  = $1.50 * 29

                                                           = $43.5

Now,

The total cost for x pairs of socks  in dollars is

\(C(x)=0.75x+11.25\)

x = 13

\(C(13)=0.75*13+11.25\)

\(C(13) = 21\)  

x = 29

\(C(29)=0.75*29+11.25\)

\(C(29) = 33\)

Now,

The Revenue function

Revenue Formula = Number of goods sold × Sales Price

i.e

Let pair of socks sold = x

when Selling price of 1 pair socks = $2.46

R(x) =  $2.46 x

IF Selling price of 1 pair socks = $1.50

R(x) =  $1.50 x

Hence, The revenue function is R(x) =  $2.46 x and R(x) =  $1.50 x .

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Answer:

17 will represent the batches of purple paint he wanted to make. It also represents the number of cup needed for each blue and red paint.

Step-by-step explanation:

Hence, \(17\) represents the number of cups required for the blue and red paint and it also represent the batches of purple paint he wants to do.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

To make the perfect purple hue, the artist used cup of blue paint per batch and cup of red paint per batch. He wanted to make \(17\) batches of purple paint.

Hence, \(17\) represents the number of cups required for the blue and red paint and it also represent the batches of purple paint he wants to do.

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To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

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Identify the function to integrate and the limits of integration, check if the function is elementary, apply the appropriate integration technique, check its validity by differentiating it, substitute them into the antiderivative and evaluate the expression to find the definite integral.

Evaluating integrals involves finding the antiderivative of a function, which is also known as the indefinite integral. Here are the steps to evaluate an integral:

1. Identify the function to integrate and the limits of integration, if any.

2. Check if the function is elementary, meaning that it can be expressed as a combination of basic functions such as polynomials, trigonometric functions, exponential functions, and logarithmic functions. If the function is not elementary, more advanced techniques may be required to evaluate the integral.

3. Apply the appropriate integration technique based on the form of the function to integrate. Some common techniques include u-substitution, integration by parts, trigonometric substitution, and partial fraction decomposition.

4. Once the antiderivative is found, check its validity by differentiating it to make sure it matches the original function.

5. If there were any limits of integration, substitute them into the antiderivative and evaluate the expression to find the definite integral.

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Answer:

1,637.984

hope this helps

There are 8 juniors in the program, Let J be the number of juniors in the program and S be the number of seniors. We are given that J + S = 28 and 0.25J = 0.1S.

Solving the first equation for S, we get S = 28 - J. Substituting this into the second equation, we get:

0.25J = 0.1(28 - J)

Simplifying the equation, we get J = 8.

Therefore, there are 8 juniors in the program.

Let J be the number of juniors in the program and S be the number of seniors.

We are given that J + S = 28 and 0.25J = 0.1S.

Solving the first equation for S, we get S = 28 - J. Substituting this into the second equation, we get:

Code snippet

0.25J = 0.1(28 - J)

Simplifying the equation, we get J = 8.

Therefore, there are 8 juniors in the program.

The answer can also be found by using a Venn diagram. The Venn diagram shows that there are 4 juniors on the debate team and 4 seniors on the debate team.

Since the number of students on the debate team is equal to the number of juniors, there must be 8 juniors in the program.

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Answer:

Step 2 is wrong

Step-by-step explanation:

\((Sin Ф )^{2}\)= \((1/4)^{2}\) = 1/16

Step-by-step explanation:

Let's denote the width of the rectangle as "w" meters.

According to the given information, the length of the rectangle is 6 meters more than twice the width. Therefore, the length can be expressed as 2w + 6 meters.

The formula for the perimeter of a rectangle is P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

We are given that the perimeter is 72 meters, so we can write the equation as:

72 = 2((2w + 6) + w)

Simplifying the equation:

72 = 2(3w + 6)

72 = 6w + 12

6w = 72 - 12

6w = 60

w = 60 / 6

w = 10

Therefore, the width of the rectangle is 10 meters.

To find the length, we can substitute the value of w into the expression for the length:

l = 2w + 6

l = 2(10) + 6

l = 20 + 6

l = 26

Hence, the length of the rectangle is 26 meters.

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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Answer:

x = -7

Step-by-step explanation:

These angles are supplementary because they're same side interior angles. Supplementary means the 2 angles add up to 180

Equation:

x + 67 + x + 127 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14/2

x = -7

Hi how u doin ?

\((x + 67) + (x + 127) = 180\)

\(x + x + 67 + 127 = 180\)

\(2x + 194 = 180\)

Subtract both sides 194

\(2x + 194 - 194 = 180 - 194\)

\(2x = - 14\)

Divide both sides by 2

\( \frac{2x}{2} = \frac{ - 14}{2} \\ \)

\(x = - 7\)

There it is the God dm x lol ...

Have a great day ❤

The equation the line is, y = -3/2 *x -1

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have ,

from the given graph we get,

the line is passing through the points (0,-1)& ( -2,2)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

now, by solving we get,

-3x-2y=2

Hence, the required equation is, y = -3/2 *x -1

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Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

The given equation for C_v in Einstein model is:

C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/Tk_be

T = 1.38 x 10^-23 J/K (Boltzmann's constant)

h = 6.626 x 10^-34 J s (Planck's constant)

ν = 1 x 10^13 Hz (constant frequency)

R = k_b/hν,

which gives R = 2.08 x 10^-4 JK^-1mol^-1

At a constant frequency of 1 x 10^13 Hz, we can write

R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1

Using this value of R, we can plot the graph of C_v against temperature (T) from 1 K to 320 K.

Here's the explanation of the given formula of C_v:

In Einstein's model, the heat capacity of a solid is given by:

C_v = nR[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]

where,

n = number of atoms in the solid

R = gas constantθ_

E = Einstein temperature

T = absolute temperature

Since we have R in terms of k_b and ν, we can substitute it in the above equation to get:

C_v = 3k_bN[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]

where, N = Avogadro's number

So, we can rewrite the equation as:

C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T

At a constant frequency of 1 x 10^13 Hz,

we can write

R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1.

Substituting this value in the equation of C_v, we get:

C_v = 3(2.08 x 10^-4)(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T

Now, we can plot the graph of C_v against T from 1 K to 320 K.

The graph will be as follows:

Graph of C_v against T from 1 K to 320 K at a constant frequency of 1 x 10^13 Hz.

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Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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The Glendale's distance from Midtown is 33 miles.

Distance is the total amount of movement, in any direction, of an object.. It can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let x be the Distance between Glendale and Midtown

Speed = Distance/time

Time consume travel at 60 mph from Glendale to Midtown = x/60

Time consume travel at 45 mph from Glendale to Midtown = x/45

Difference in time travel = 11min = 11/60hours

\(\frac{x}{45} - \frac{x}{60} = \frac{11}{60}\)

\(\frac{60x-45x}{2700} = \frac{11}{60}\)

15x = 45×11

x = 495÷15

x = 33

Glendale's distance from Midtown=33miles.

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Answer:

The Glendale is 33 kilometres away from Midtown.

Establish Distance

The total amount of movement an object makes in any direction is referred to as distance. It can be summed up as the volume of space a thing has occupied, regardless of where it began or ended.

The distance between Glendale and Midtown, let x be

Distance times speed

Glendale to Midtown travel time at 60 mph is equal to x/60.

Glendale to Midtown travel time at 45 mph is equal to x/45.

Time-travel difference is 11 minutes, or 11/60 hours.

15x = 45×11

x = 495÷15

x = 33

33 miles separate Glendale from Midtown.

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Step-by-step explanation:

Answer:

810 miles

Step-by-step explanation:

1. how many miles per one hour; 360 miles in 4 hours; 360/4 =90miles/hour

2. how many miles for 9 hours; 90 miles x 9 hours =810 miles

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Joint Distribution of x and y is 25.

Joint Distribution is based on joint probability, which can be simply defined as the probability of two events happening together.

We know the formula for joint distribution

F(x,y) = P(X ≤ x and Y ≤ y) = ∑∑p(xi,yi)

Here x is the number of aces and y is the number of kings in a poker hand.

That means x can take values from 0 to 4 and y can take values from 0 to 4.

∴ F(x,y) = P(X ≤ 4 and Y ≤ 4)

⇒ F(x,y) = p(0,0) + p(0,1) + p(0,2) + p(0,3) + p(0,4) + p(1,0) + p(1,1) + p(1,2) + p(1,3) + p(1,4) + p(2,0) + p(2,1) + p(2,2) + p(2,3) + p(2,4) + p(3,0) + p(3,1) + p(3,2) + p(3,3) + p(3,4) + p(4,0) + p(4,1) + p(4,2) + p(4,3) + p(4,4).

To find all these values we will construct a table as follows;

P(x,y)           Y=0      Y=1         Y=2      Y=3    Y=4

X=0              0          1/4          1/2        3/4       1      

X=1               1/4        1/2        3/4         1        5/4

X=2             1/2         3/4         1            5/4     3/2

X=3             3/4          1          5/4         3/2      7/4      

X=4               1          5/4         3/2       7/4       2

Now the joint distribution will become,

F(x,y) = 0 + 1/4 + 1/2 + 3/4 + 1 + 1/4 + 1/2 + 3/4 +1  + 5/4 + 1/2 + 3/4 + 1 + 5/4 + 3/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 1 + 5/4 + 3/2 + 7/4 + 2

F(x,y) = 25

Therefore the joint distribution of x and y is 25.

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Answer:

-7-17i

Step-by-step explanation:

Answer:

-7-17i

Step-by-step explanation:

See image below:)