Use the formula below to find the 75th term of the arithmetic sequence
12, 17, 22...

E(U) = 4, which is an integer.

What is Linearity of expectation?

Linearity of expectation is a fundamental property of expected value that states that the expected value of a sum or difference of random variables is equal to the sum or difference of their individual expected values.

To find E(U), where U = 2X - Y - 4, we can use the properties of expected value.

First, let's find the expected values of 2X, Y, and 4 separately using the linearity of expectation:

E(2X) = 2E(X) = 2 * 6 = 12

E(Y) = 4 (given)

E(4) = 4

Now, let's calculate the expected value of U:

E(U) = E(2X - Y - 4)

Since expected value is a linear operator, we can rearrange and simplify the expression:

E(U) = E(2X) - E(Y) - E(4)

= 12 - 4 - 4

= 4

Therefore, E(U) = 4, which is an integer.

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In theory, Option D. All of these stages occurs at prisoner classification.

Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.

Prisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:

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Answer:

Step-by-step explanation:

Quick Answer 1

Solution

x = 0.747 / 0.0747

When you do the division, you get 10. That means that you need to divide 0.747 by just 1 ten to get 0.0747

Answer:

Once

Step-by-step explanation:

You have to divide once because if you divide a decimal by 10, you add a zero before the decimal point

Answer:

ty for ur coins dood

Step-by-step explanation:

Answer:

20, 15 10x + he 27 uwdhkssh . 76 56!

your welcome!!! :)

Step-by-step explanation:

Answer:

f(3) = -6

f(-3) = -12

f(0) = -9

Step-by-step explanation:

Substitute each number for x.

f(3) = 3 - 9 = -6

f(-3) = -3 - 9 = -12

f(0 ) = 0 - 9 = -9

Answer:

{-6, -12, -9} is the range

Step-by-step explanation:

f(3) = 3 - 9 = -6

f(-3) = -3 - 9 = -12

f(0) = 0 - 9  =  -9

Answer:

Hey!

Step-by-step explanation:

The diameter of Mercury is 4,879.4 km, while the diameter of Jupiter is 142,984 km. In other words, Jupiter is 29.3 times bigger across than Mercury. In terms of volume, you could fit 24,462 Mercurys inside Jupiter. Jupiter even has 5,750 times more mass than Mercury.

Hope this helps!

Have a nice day!♥

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

~~~~~~~~~~~~

Hope this helps!

Answer:

y = 1/2x + 3

Step-by-step explanation:

Find the slope: 1/2x

Find the b-intercept: 3

y = 1/2x +3

A graph compares two variables; often shows change in a quantity over time

The term that complete the statement is graph

This is because a graph is a visual representation of data that allows us to compare two variables and analyze how they change over time.

The variables can be anything that we want to measure, such as temperature, sales, population, or stock prices.

For example, if we are comparing the temperature of a location over time, we may notice that the temperature tends to be higher in the summer months and lower in the winter months.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2\(\pi r^{2}\) + \(\pi r\)h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = \(\frac{22}{7}\) x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 \(m^{2}\).

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 \(m^{2}\)

Given that 150 g of paint would be required to paint an area of 1 \(m^{2}\), the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = \(\frac{1245}{1000}\)

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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As per the combination method, there are 42504 different campout crews are possible.

Combination method:

In math, combination method means a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given,

Scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts).

Here we need to find the number of different campout crews are possible.

According to the nCr formula, here the value of

n = 24

And the value of r = 5

Then the number of possible combinations are calculated as,

=> ²⁴C₅ = 24!/5!(24 - 5)!

=> ²⁴C₅ = 24!/5!19!

=> ²⁴C₅ = 42504

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Answer:

ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Step-by-step explanation:

The given information are;

Statement                                  \({}\)                               Reason

Segment \(\overline {SA}\) is congruent to \(\overline {OL}\)              \({}\)As shown in the diagram provided

∠SAG is congruent to ∠LOI               \({}\)       As shown  in the diagram provided

∠SGA is congruent to ∠LIO               \({}\)       As shown  in the diagram provided

Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles

Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.

Answer:

∆GAS ≅ △IOL By rule ASA, AAS

Step-by-step explanation:

By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles.  We already know that it can't be SSS or SAS because we have 2 angles, as I said.

If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles.  Therefore, our answer is ASA or AAS

Answer:

\(\frac{5}{21}\)

Step-by-step explanation:

1)  \(\frac{3}{7} *\frac{5}{9}\)

Reduce the numbers with the greatest common factor : 3

2)  \(\frac{1}{7} *\frac{5}{3}\)

Multiply the fractions.

3)  \(\frac{5}{21}\)

Answer:

c

Step-by-step explanation:

The second partial derivatives are undefined at the critical point, we cannot determine the nature of the extremum using the second derivative test.

To determine the critical points and analyze the local extrema of the function f(x, y) = 1/x+ 1/y - 22xy, we need to find the partial derivatives with respect to \(x\) and \(y\) and set them equal to zero.

Taking the partial derivative with respect to (x), we have:

df/dx = -1/x² - 22y = 0

Simplifying this equation, we get:

1/x² = -22y

Taking the partial derivative with respect to (y), we have:

df/dy = -1/y² - 22x = 0

Simplifying this equation, we get:

1/y²= -22x

To find the critical points, we set both of these equations equal to zero:

1/x² = -22y = 0

From the first equation, we have (y = 0). Substituting this into the second equation, we get (x = 0).

Therefore, the only critical point is at (0, 0).

To determine the nature of this critical point, we need to analyze the second-order partial derivatives. Calculating the second partial derivatives, we have:

d²f/ dx² = 2/x³

d² f/dy² = 2y³

d²f/dx dy = 0 (since the order of differentiation does not matter)

Evaluating these second partial derivatives at the critical point (0, 0), we get:

d²f/dx²(0, 0) = 2/0³ (which is undefined)

d²f}/dy²(0, 0) = 2/0³ (which is undefined)

Since the second partial derivatives are undefined at the critical point, we cannot determine the nature of the extremum using the second derivative test.

To further investigate the function's behavior around the critical point, we can examine the function's values along different paths approaching (0, 0). However, without further information or constraints on the function, it is challenging to provide a definitive answer about the existence and nature of local extrema beyond the critical point (0, 0).

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Answer:

u reseach in xauthmath

Step-by-step explanation:

i thin 1+n

Answer:

i would say it's probably c

Answer:

10

Step-by-step explanation:

if the question is asking what is X then the answer is

X - 3 >-25

X >-25+3

X >-22

Where the above are given,

(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n

(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n

Maximum Likelihood Estimation (MLE) is   a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.

(a) The MLE of β can be found by   maximizing the likelihood function. The likelihood function for  a gamma distribution is given by  -

L(β;  y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)

Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations  -

log L(β;  y₁, y₂, ..., yn) =   n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β

To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β  -

d/dβ(log L(β;  y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0

Simplifying the equation -

-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0

Multiplying through by β²

-nβ + nα + ( y₁ + y₂ + ... + yn) = 0

Rearranging  whave

nβ = nα + ( y₁ + y₂ + ... + yn)

Finally, solving for β -

β = (nα +  y₁ + y₂ + ... + yn)/n

Therefore, the MLE of β is (nα +  y₁ + y₂ + ... + yn)/n.

(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.

So, the MLE of E(Y) is (nα +  y₁ + y₂ + ... + yₙ)/n.

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Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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The formula\(perimeter = 2 * sqrt(d1^2 + d2^2)\) gives the perimeter of a rhombus in terms of its diagonals.

If you are given only the diagonals of a rhombus and you need to find its perimeter, you can use the following formula:

\(perimeter = 2 * square root( diagonal1^2 + diagonal2^2 )\)

where diagonal1 and diagonal2 are the lengths of the two diagonals of the rhombus.

To see why this formula works, let's first recall some properties of a rhombus. A rhombus is a four-sided polygon with all sides equal in length. Its opposite sides are parallel and its diagonals bisect each other at right angles. Therefore, the diagonals of a rhombus divide it into four congruent right triangles.

Now, let's draw a rhombus and label its diagonals as d1 and d2:

      A

     / \

    /   \

 D /     \ B

  /   R   \

 /         \

/____d2_____\

C      d1     E

Using the Pythagorean theorem, we can find the length of each side of the rhombus in terms of its diagonals:

AB = AE = (d1 / 2)   (since AB and AE are half of d1)

BC = CD = (d2 / 2)   (since BC and CD are half of d2)

Now, we can find the perimeter of the rhombus by adding up the lengths of its sides:

perimeter = AB + BC + CD + DE

         = (d1 / 2) + (d2 / 2) + (d2 / 2) + (d1 / 2)

         = d1 + d2

However, we can also express AB, BC, and CD in terms of d1 and d2, and use the Pythagorean theorem to simplify the expression:

AB = AE = sqrt((d1/2)^2 + (d2/2)^2)   (using the Pythagorean theorem)

BC = CD = AB   (since all sides of the rhombus are equal)

Substituting these expressions into the perimeter formula, we get:

perimeter = 2 * (AB + BC)

         = 2 * (sqrt((d1/2)^2 + (d2/2)^2) + AB)

         = 2 * sqrt((d1/2)^2 + (d2/2)^2 + AB^2)

         = 2 * sqrt((d1^2 + d2^2) / 4 + (d1^2 + d2^2) / 4)

         = 2 * sqrt(d1^2 + d2^2)

Therefore, the formula perimeter = 2 * sqrt(d1^2 + d2^2) gives the perimeter of a rhombus in terms of its diagonals.

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Answer:

1D 2B 3A

Step-by-step explanation:

Answer: 5, -7/3

Step-by-step explanation:

Set both (3x + 7) and (x - 5) equal to zero

3x + 7 = 0

Subtract "7" and divide by "3"

x = -7/3

x - 5 =0

Add 5

x = 5

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

Answer:

\(q= -\frac{23}{8 }\)

Step-by-step explanation:

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