assume you are risk-averse and have the following three choices. expected value standard deviation a $ 2,710 $ 1,070 b 2,140 1,820 c 2,160 1,130 compute the coefficient of variation for each. note: round your answers to 3 decimal places.

Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.

Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is 260.1 square inches.

The perimeter of rectangle is given by;

\(\rm Perimeter \ of \ rectangle=2 (Length + width)\)

The sides of a rectangle are in the ratio 2:5.

If the longer side of the rectangle is 25.5.

The shortest side of the rectangle is;

\(=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches\)

The width of the rectangle is;

\(\rm Width=2\times 5.1\\\\Width =10.2\)

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is;

\(\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches\)

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is;

\(\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches\)

The area of the rectangle is 260.1 square inches.

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Answer: 5 3/4 feet

Step-by-step explanation:

The original perimeter of the room is:

2(length + width) = 2(13 ft + 8 ft) = 42 ft

After the length and width are increased by "x" feet, the new perimeter becomes 53 1/2 ft.

So, we can write the equation:

2(length + x + width + x) = 53 1/2 ft

Simplifying the equation, we get:

2(length + width + 2x) = 53 1/2 ft

But we know that the original perimeter of the room was 42 ft, so:

2(length + width) = 42 ft

Substituting this into the above equation, we get:

42 ft + 2x = 53 1/2 ft

Subtracting 42 ft from both sides, we get:

2x = 11 1/2 ft

Dividing both sides by 2, we get:

x = 5 3/4 ft

Therefore, the length and width of the room were both increased by 5 3/4 feet

The surface area of the cone is approximately 184.9952 square miles.

To calculate the surface area of a cone, you need to know the radius and the slant height.

The formula for the surface area of a cone is:

Surface Area = πr(r + l),

where r is the radius and l is the slant height.

In your case, the radius is 4 miles and the slant height is 10.8 miles. Plugging these values into the formula, we get:

Surface Area = π(4)(4 + 10.8).

Calculating the expression inside the parentheses:

Surface Area = π(4)(14.8).

Multiplying:

Surface Area ≈ 58.88π.

Approximating π as 3.14, we can calculate the approximate value:

Surface Area ≈ 58.88 x 3.14.

Surface Area ≈ 184.9952 square miles.

Therefore, the surface area of the cone is approximately 184.9952 square miles.

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a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.

b) T(A)=B, if B be any element of M₂

c) Range of T=={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.

A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.

Define T: \(M_{ 2*2}\) ⇒ \(M_{ 2*2}\) by T(A)=A+\(A^{T}\)

a) Let T is a linear transformation

Consider K₁A₁+K₂A₂ ∈  \(M_{ 2*2}\)

T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)\(( K₁A₁+K₂A₂)^{T}\)

= K₁T(A₁)+K₂T(A₂)

T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)

Therefore, T is a linear transformation.

b) Let B∈ \(M_{ 2*2}\) such that \(B^{T}\)=B

Therefore, B is a symmetric matrix.

Let A=(1/2)B∈ \(M_{ 2*2}\)

T(A)=A+\(A^{T}\)

=(1/2)B+\((1/2B)^{T}\)

T(A)=B

A=(1/2)B such that T(A)=B

c) Range of T is the set of B in  \(M_{ 2*2}\), \(B^{T}\)=B

T( \(M_{ 2*2}\))={B∈ \(M_{ 2*2}\)/ \(B^{T}\)=B}

d) Kernel of T={A∈ \(M_{ 2*2}\)/T(A)=0)

={A∈ \(M_{ 2*2}\)/A+\(A^{T}\)=0}

={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.

T is a linear transformation, therefore demonstrate it.

b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.

c) Explain the T kernel.

a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.

Additions: T(A+B) = A+B+A+B T = A+B+A T +B

T = (A + A T ) + (B + B T ) = T(A) + T (B).

Scalar multiplication

T(c · A) = (c · A)

T = c · A

T = c · T(A) (A).

b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.

T = \s1 \s2 \sB + \s1 \s2 \sB = B.

c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.

If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.

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The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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Answer:

11

Step-by-step explanation:

the square root of 129-8 will equal to 11

Answer:

y = 11

Step-by-step explanation:

You first have to insert the x value.

y equals the square root of 129 minus 8

Which would leave it to be the square root of 121 which is 11.

Answer:

c 136 degrees

Step-by-step explanation:

The volume of the sink basin is approximately 7430.9 cubic inches.

What is hemisphere?

A hemisphere is a three-dimensional geometric shape that is obtained by slicing a sphere into two halves along a plane passing through its center. A hemisphere is a half-sphere, meaning that it has one curved surface that is shaped like a circle and has a constant radius, and a flat circular base.

The volume of a hemisphere with radius "r" is given by the formula:

(2/3) x π x r³.

In this case, the radius of the sink basin is 15 1/4 inches, which is equivalent to 61/4 inches. Therefore, we can calculate the volume of the sink as follows:

Volume = (2/3) x (22/7) x (61/4)^3

= 2/3 x 22/7 x 3546.58

=  7430.9 cubic inches (rounded to the nearest tenth)

Therefore, the volume of the sink basin is approximately 7430.9 cubic inches.

Complete question : Nabhitha measure the volume of a sink basin by modeling it as a hemisphere. Nabhitha measures its radius to be 15 1/4. find sink's volume in cubic inches. round your answer to the nearest tenth.

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The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0  ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

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The weight of the nails he used is: (2/3) * (7/12) = 14/36 = 7/18 kg.

What is fraction?

A fraction is a way of representing a part of a whole or a part of a group. It is a numerical quantity that is expressed as the ratio of two integers, one written above the other and separated by a horizontal line called the fraction bar or the vinculum.

Let's start by finding the weight of the nails that Thomas used.

If he took out a box of nails weighing 7/12 kg, and he used 2/3 of the nails, then the weight of the nails he used is:

(2/3) * (7/12) = 14/36 = 7/18 kg

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The trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

To calculate the total time for the trip, we need to take into account the time for driving and the time for lunch.

First, let's calculate the time for driving:

Distance to be covered = 800 miles

Average speed = 70 miles per hour

Time for driving = Distance / Speed

Time for driving = 800 miles / 70 miles per hour

Time for driving = 11.43 hours

So, the driving time is approximately 11.43 hours.

Now, let's add the time for lunch. The stop for lunch is 30 minutes, which is equivalent to 0.5 hours.

Total time for the trip = Time for driving + Time for lunch

Total time for the trip = 11.43 hours + 0.5 hours

Total time for the trip = 11.93 hours

Therefore, the trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

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Answer 63

Step-by-step explanation:

it will take around 63 months

Answer:

1. 6890

2. 6790

3. 6670

4. 6560

5. 6450

Step-by-step explanation:

1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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The function is defined by m(x)=f(x)/2g(x) is m′(5))=\(\sqrt[3]{3/2}\) on graph.

A function is a relation that is "well-behaved," by which we mean that, given a starting point, we know the exact one ending spot to go to; given an x-value, we get only and precisely one corresponding y-value. As a result, even though all functions are relations [since they pair information], not all relations are functions. Family members who behave well are a subset of all your relations, just as well-behaved functions are a subset of all mathematical relations.)

f(x)=2x+3,XE[-1,2]

-2/3x+25/3, XE[2,8]

g(x)=√x^2−x+3 XE

m′(5))=\(\sqrt[3]{3/2}\)

The thing to notice here is that f(x) is expressed differentially in different domain.

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Answer:

3: 0.625

4: 2.2

7: 1.083

8: 4.285

11: 1.1

12: 0.08

Step-by-step explanation:

Answer:

3. 0.625

4. 0.364

7. 1.083

8. 4.286

11. 1.1

12. 0.08

Step-by-step explanation:

i did my best, sorry if its wrong :)

0.15c - 0.072 = 0.078c = (0.15 - 0.072)c = 0.078 times the coefficient c.

To factor 0.15c - 0.072, the first step is to find the greatest common factor (GCF) of the terms. In this case, the GCF is 0.072. This means that 0.072 can be divided out of both terms.

The next step is to divide out 0.072 from both terms. This gives 0.15c/0.072 = 0.208 and -0.072/0.072 = -1.

After this, we can combine the terms by multiplying the coefficients: 0.208 x -1 = -0.208.

Therefore, 0.15c - 0.072 can be factored as -0.208c. This means that 0.15c - 0.072 is equal to -0.208 times the coefficient c.

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Answer:

in mathamatics...an algebraic function that can be defined as a root od a polynomial equation

Step-by-step explanation:

Answer:

A function is the difference between the input and the output in a given table. Here is an example:

Input | Output

  2     |     4

  4     |     6

  6     |     8

The function is add 2. Best of Luck!

Answer:

2080

Step-by-step explanation:

that's the answer i think Good luck :)

It will take 62.91 years for Kevin to make the amount  $2500 to  $7500 .

In the question ,

it is given that ,

the amount that Kevin deposited (P) in bank = $2500

the interest rate (r) = 1.75% ,

the compound interest is quarterly ,

So , n is = 4 .

let the time taken to earn $7500 be = x years ;

Substituting the values in the Amount formula for the Compound Interest ,

Amount = P(1 + r/n)ⁿˣ

7500 = 2500(1 + 0.0175/4\()^{4x}\)

Simplifying further ,

we get ,

3 = (1.004375\()^{4x}\)

After applying log both the sides ,

we get ,

log(3) = 4x*log(1.004375)

x = log(3)/(4*log(1.004375))

Simplifying further ,

we have ,

x = 62.91 years .

Therefore , the time taken is = 62.91 years

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Answer:

a = 3

Step-by-step explanation:

Factorise both expressions\x² - x - 6 = (x - 3)(x + 2)

x² + 3x - 18 = (x - 3)(x + 6)

Thus both expressions have a common factor of (x - 3) , thus

a = 3

Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through the point (3, 5) and perpendicular to y = 3x +2.

The slope-intercept form of the equation of a line is ...

  y = mx +b

where m is the slope, and b is the y-intercept.

Comparing this to the given equation, we see that m=3 for the given line.

The slopes of perpendicular lines are opposite reciprocals of one another. This means the slope of the line we want is ...

  desired slope = -1/m = -1/3

The slope-intercept equation above can be solved for b to give ...

  b = y -mx

Then the y-intercept for the line we want is ...

  b = 5 -(-1/3)(3) = 5 +1 = 6

The equation of the desired line is y = -1/3x +6.

__

Additional comment

Once you understand how to find the slope of the given line and of the desired line, you can write down the desired equation in point-slope form.

Given slope = 3; perpendicular slope = -1/3

Point-slope equation: y -k = m(x -h) . . . . line through (h, k) with slope m

  y -5 = -1/3(x -3) . . . . . line through (3, 5) with slope -1/3

The only "work" required is to rearrange this equation to whatever form you may want. In standard form it is x +3y = 18.

Answer:

what Will You do there? locate fractions?

Answer:

81000000

\(\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros\)

Answer:

biggafigure a

mnn

Step-by-step explanation:

The quotient when P(x) = \(x^3\)+ 3\(x^{2}\) - 4 is divided by the binomial x - 1 is \(x^{2}\) + 4x + 7.

To find the quotient, we can use polynomial long division. The divisor is x - 1, which represents a binomial with a root at x = 1. We divide the polynomial P(x) = \(x^3\) + 3\(x^{2}\) - 4 by x - 1.

Starting with the highest power of x in P(x), which is \(x^3\), we divide \(x^3\) by x to get \(x^{2}\). We then multiply x - 1 by \(x^{2}\), resulting in \(x^3\) - \(x^{2}\). Subtracting this from P(x), we get 4\(x^{2}\) - 4. We bring down the next term, which is 0, and continue the process.

Next, we divide 4\(x^{2}\) by x to get 4x. We multiply x - 1 by 4x, yielding 4\(x^{2}\) - 4x. Subtracting this from 4\(x^{2}\) - 4, we get 4x - 4. Again, we bring down the next term, which is 0.

Finally, we divide 4x by x to get 4. We multiply x - 1 by 4, giving us 4x - 4. Subtracting this from 4x - 4, we get 0. Since there are no more terms to bring down, the process is complete.

The resulting quotient is \(x^{2}\)+ 4x + 7, indicating that P(x) = (x - 1)(\(x^{2}\) + 4x + 7), with a remainder of 0.

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At 5657ft altitude is the atmospheric pressure 25 inches of mercury and The altitude is decreasing at the rate 119 ft/min

According to the question,

Pressure : P = \(30e^{-3.23E-5h}\) ------------(1)

(a) We need to find h when P = 26 in of mercury

So, substituting value of P as 26 in equation (1)

=> \(25 = 30e^{-3.23E-5h}\\\)

Divide both sides by 30

=> \(0.833 = e^{-3.23E-5h}\\\)

Take natural logarithm of both sides

=>\(ln(0.833) = {-3.23E-5h}\\\)

=> -0.1827 = -3.23E-5 h

Divide both sides by -3.23E-5 (that is, -0.0000323)

h = 5657 ft

Hence , At 5657ft altitude is the atmospheric pressure 25 inches of mercury.

b) Differentiating Equation (1) with respect to time, we get

=> \(\frac{dP}{dt} = 30(-3.23E-5) e^{-3.23E-5 h } \frac{dh}{dt}\)

=> \(\frac{dP}{dt} = -9.69E-4e^{-3.23E-5 h } \frac{dh}{dt}\)

It is given that dP/dt is 0.1 in. of Hg per minute. Also, we know that h = 5657 ft when P = 25 in of Hg.

Therefore, \(0.1= -9.69E-4e^{-3.23E-5 (5657) } \frac{dh}{dt}\)

=> \(0.1= -9.69E-4e^{-0.143 } \frac{dh}{dt}\)

=> 0.1 = -9.69E-4 (0.867) dh/dt

=> 0.1 = -8.4E-4 dh/dt

Divide both sides by -8.4E-4 (that is, -0.00084)

dh/dt = -119

So the altitude is decreasing at the rate 119 ft/min

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