Suppose that has a uniform distribution on the interval
[−2,2]. Find Cov⁡(,^2). Show whether or not these random
variables are independent.

Answer:

The shape is a square and it's area is 121

HOPE THIS HELPS!!!

Answer:

radius = √35 mm or 5.916 mm

Explanation:

Here:

Solve for radius:

\(\rightarrow \sf \pi r^2 = 110\)

\(\rightarrow \sf \dfrac{22}{7} r^2 = 110\)

\(\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35\)

\(\rightarrow \sf r = \sqrt{35}\)

Let's see

Answer:

Yes, that is a reasonable conclusion

Step-by-step explanation:

Answer:

This is not a reasonable conclusion.

Step-by-step explanation:

Even though there is a strong negative correlation, not eating vegetables doesn't necessarily cause high blood pressure.

Good luck, hope this helps you out! (◕‿◕✿)

The solution for x is approximately -3.63. To find the point at which the distance traveled (y) and the time spent biking (x) are the same for both friends,

we need to set their respective equations equal to each other and solve for x.

For Jackson:

y = 4.1 miles

For Ginger:

y = 3x + 15 miles

Setting these equations equal to each other:

4.1 = 3x + 15

Now, let's solve for x:

3x = 4.1 - 15

3x = -10.9

x = -10.9 / 3

x ≈ -3.63

The solution for x is approximately -3.63. However, in the context of time spent biking, it doesn't make sense to have a negative value.

Therefore, we can conclude that there is no point at which the distance traveled and the time spent biking are the same for both friends based on the given information.

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90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

What is a standard deviation?

Sample mean (T) = 13.11%

Sample standard deviation (s) = 2.6

Sample size (h) = 25

significance level = α = 1 -0.90 = 0.1

Degrees of freedom for t- distribution (df) = 24

Critical value = ta/2

df = \(t_{0.1}\), df=24 = ±2.80

The margin of error (E) =\(t_\frac{a}{2} , df\frac{s}{\sqrt{h} }\)

E=2.8X \(\frac{2.6}{\sqrt{25} }\) =1.456

Limits of 90%. Confidence Interval is.

Lowest limit = X' - E = 13.11-1.456 = 11.65

Upper limit= X' + E = 13.11+1.456 = 14.566

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

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The Z score for the firm would be B. 1.56.

To calculate the Z score for the potential borrowing firm using Altman's discriminant function, we'll need to substitute the given values of X1, X2, X3, X4, and X5 into the formula:

Z = 1.2 X1 + 1.4 X2 + 3.3 X3 + 0.6 X4 + 1.0 X5

By plugging in the values:

Z = 1.2(0.30) + 1.4(0) + 3.3(-0.30) + 0.6(0.15) + 1.0(2.1)

Now, perform the calculations:

Z = 0.36 + 0 - 0.99 + 0.09 + 2.1

Then, add the resulting numbers:

Z = 1.56

Altman's Z score is a widely-used financial tool that helps to predict the likelihood of a company going bankrupt. A Z score below 1.8 typically indicates a higher risk of bankruptcy, while a score above 3 suggests a lower risk. In this case, the firm's Z score of 1.56 suggests that it may be at a higher risk of bankruptcy, and further analysis should be conducted to determine the company's financial stability before extending credit or making an investment.

Therefore, the correct option is B.

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Answer:

2.861

Step-by-step explanation:

What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.

The measure of the length of first piece is 4 units, the length of second piece is 12 units and the length of third piece is 20 units.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a 36​-inch board is to be cut into three pieces.

Let x represents the length of the first​ piece.

The second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece.

Now, the length of the second piece is 3x

The length of the third piece is 5x

So, total length = x+3x+5x

9x=36

x=4 units

So, 3x=12 units and 5x=20 units

Therefore, the measure of the length of first piece is 4 units, the length of second piece is 12 units and the length of third piece is 20 units.

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Answer:

Rearrange Inequalities

0<= A <=40

0<= B <= 40

A <= -B + 40

A <= -2B + 50

Acres:: A + B <= 40

Seed:: 10A + 20B <= 500

Profit function:: P = 110A + 40B

Step-by-step explanation:

Answer:

the farmer should plant 40 acres of crop B.

Step-by-step explanation:

The restriction equations are:

x + y = 40 acres (1) (for areas; x = the area for crop A; y = the area for crop B).

10x + 20y = 700 (2) for the seed cost

or

x + 2y = 70

We have the following system of equations:

x + y = 40  

x + 2y = 70  

The additional obvious restrictions are x >= 0 and y >= 0.

The objective function is the profit:

F(x, y) = 60x + 70y

According to the conception/ideology of the linear programming method, we need to evaluate the  

objective function F(x, y) = 60x + 70y in three points (corner points):

(0, 40), (35, 0) and (10, 30)

We need to find the point where the objective function is maximal:

F(0, 40) = 60*0 + 70*40 = $2,800

F(35, 0) = 60*35 + 70*0 = $2,100

F(10, 30) = 60*10 + 70*30 = $2,700

Follows, the farmer should plant 40 acres of crop B.

Answer: B: 4

Step-by-step explanation: just took the test

The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.

The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula

n-th term = a + (n-1)d.

We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.

This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.

We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.

n-th term = a + (n-1)d

or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.

∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

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The missing length s in the triangle is 64736.

We are given that;

The triangle with shaded region area= 952yd2

Now,

By substituting the values in the area formula;

952=1/2 * s * h

952=1/2 * s * 34

s= 952 * 34 * 2

s= 64736

Therefore, by area the answer will be 64736.

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Answer:

22 in.

Step-by-step explanation:

7+4+7+4 = 14+8 = 22

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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Answer:

(2 x + 5) (x - 1) (x + 7) thus the answer is D.)

Step-by-step explanation:

Factor the following:

2 x^3 + 17 x^2 + 16 x - 35

The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:

Answer: (2 x + 5) (x - 1) (x + 7)

Answer:

Step-by-step explanation:

6+3(f)=18

6+3f=18

3f=12

f=4

In this problem, the starting annual salary is $35,000 and increases by 4% each year. The task is to write a function in terms of t that represents this situation.

Modeling salary growth over time is a common task in finance and economics.

Let's call the salary after t years s(t).

Then, the salary after t years can be represented by the following function: s(t) = 35,000 * (1 + 0.04t).

This function says that the starting salary of $35,000 is multiplied by (1 + 0.04t) to find the salary after t years.

The constant 0.04 represents the 4% increase each year.

For example, if t = 1, then the salary after 1 year would be $35,000 * (1 + 0.04 * 1) = $36,400, and if t = 2, then the salary after 2 years would be $35,000 * (1 + 0.04 * 2) = $37,888.

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a = 3√3

a = 3 × 1.732

a = 5.196

a = 5.2 inches

The circulation of the vector field G around the given square in the yz-plane is i * [(18 + 12k) * 6], where k represents an unspecified constant.

To evaluate the circulation of the vector field G = xyi + zj + 2yk* around the given square, we can use Stokes' theorem.

Stokes' theorem states that the circulation of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over any surface bounded by the curve.

In this case, the square is lying in the yz-plane and has a side length of 6, centered at the origin. The square is oriented counterclockwise when viewed from the positive x-axis.

The surface bounded by the square in the yz-plane is a rectangle with sides of length 6 and 6.

The curl of the vector field G is given by:

curl(G) = (∂Q/∂y - ∂P/∂z)i + (∂R/∂z - ∂P/∂x)j + (∂P/∂y - ∂R/∂x)kwhere P = xy, Q = 0, and R = 2y.

Taking the partial derivatives, we have:

∂P/∂x = y

∂P/∂y = x

∂P/∂z = 0

∂Q/∂x = 0

∂Q/∂y = 0

∂Q/∂z = 0

∂R/∂x = 0

∂R/∂y = 2

∂R/∂z = 0

Therefore, the curl of G simplifies to:

curl(G) = xi + 2kj

Now, we need to calculate the surface integral of curl(G) over the rectangular surface bounded by the square.

The surface integral is given by:

∬S curl(G) · dS

Since the surface is a rectangle lying in the yz-plane, the normal vector of the surface is in the x-direction, i.e., n = i.

The magnitude of the normal vector is |n| = 1.

The surface integral simplifies to:

∬S curl(G) · dS = ∬S (curl(G) · n) dS

Since the normal vector is constant and equal to i, we can pull it out of the integral:

∬S curl(G) · dS = i ∬S (curl(G)) dS

The rectangular surface has dimensions 6 x 6, so the area of the surface is 36 square units.

Now, evaluating the surface integral:

∬S curl(G) · dS = i ∬S (xi + 2kj) dS = i ∬S (x + 2k) dS

Integrating over the rectangular surface:

∬S curl(G) · dS = i ∫(0 to 6) ∫(0 to 6) (x + 2k) dx dy

Integrating with respect to x:

∬S curl(G) · dS = i ∫(0 to 6) [(x^2/2 + 2kx)] (0 to 6) dy

= i ∫(0 to 6) (18 + 12k) dy

= i [(18 + 12k) * 6]

Therefore, the circulation of G around the given square is i * [(18 + 12k) * 6]

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Answer:

b i think

Step-by-step explanation:

the sign would flip if you divide by a negative number

1) \(-8x^2\left(x+8\right)=8\left(2+6\right)\)

\(-8x^3-64x^2=64\)

\(-8x^3-64x^2-64=64-64\)

\(-8x^3-64x^2-64=0\)

\(-8x^2+0.97035\dots x-7.88051\dots \approx \:0\)

\(x\approx \:-8.12129\dots\)

2) \(4n+\frac{3}{2}=2n-\frac{5}{1}\)

\(4n+\frac{3}{2}=2n-5\)

\(4n+\frac{3}{2}-\frac{3}{2}=2n-5-\frac{3}{2}\)

\(4n=2n-\frac{13}{2}\)

\(4n-2n=2n-\frac{13}{2}-2n\)

\(2n=-\frac{13}{2}\)

\(\frac{2n}{2}=\frac{-\frac{13}{2}}{2}\)

\(n=-\frac{13}{4}\)

Answer:

should be 17

Step-by-step explanation:

find what x is by setting the equations equal to each other. (x=8) Just plug 8 into the equation to get the answer: 17

9514 1404 393

Answer:

Step-by-step explanation:

Pick the variable you want to eliminate. Determine the coefficients of that variable in the two equations. Negate one of them. Multiply each equation by the coefficient that came from the other equation.

__

To eliminate x

The x-coefficients are 4 and 3. If we negate 4, then the resulting y-coefficient will be positive. We choose to multiply the first equation by 3, the second by -4.

Here is the result of adding those:

  3(4x +5y) -4(3x -2y) = 3(7) -4(-12)   ⇒   23y = 69

To eliminate y

The y-coefficients are 5 and -2. If we negate -2, then the resulting x-coefficient will be positive. We choose to multiply the first equation by 2 and the second by 5.

Here is the result of adding those:

  2(4x +5y) +5(3x -2y) = 2(7) +5(-12)   ⇒   23x = -46

Answer:

Step-by-step explanation:

to kill x: duplicate the primary by 3, and the moment by -4 to eliminate y: increase the primary by 2, and the moment by 5 Step-by-step explanation: Pick the variable you need to eliminate. Decide the coefficients of that variable within the two conditions. Refute one of them. Increase each condition by the coefficient that came from the other equation. __ To dispense with x The x-coefficients are 4 and 3. On the off chance that we invalidate 4, then the coming about y-coefficient will be positive. We select to increase the primary condition by 3, the moment by -4. Here is the result of including those: 3(4x +5y) -4(3x -2y) = 3(7) -4(-12) ⇒ 23y = 69 To dispose of y The y-coefficients are 5 and -2. If we nullify -2, at that point the coming about x-coefficient will be positive. We select to duplicate the primary condition by 2 and the moment by 5. Here is the result of including those: 2(4x +5y) +5(3x -2y) = 2(7) +5(-12) ⇒ 23x = -46

hope this helps

Answer:

5 power points

Step-by-step explanation:

The graph shows the unit measurement as 5 power points for one goblin so that is the correct answer.

The area of the attached quadrilaterals are

area of rhombus = 20 square units

area of rectangle  = 60 square units

none of the above

The formula for area of rhombus is

Area = base × height

Area = 5 × 4

= 20 square units

The formula for area of rectangle is

Area = length × width

Area = 10 × 6

= 60 square units

The formula for area is

Area = base × height

Area = 7 × 4

= 28 square units

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Answer:

1) The amount to be paid as insurance if the revenue increases is $937,000

2) Yes because the total value of the risk insured and the likelihood of the occurrence of the risk both increases

Step-by-step explanation:

1) The given amount in revenue of the Diablo's Domain = $250,000,000

The amount the company paid as insurance  = $750,000

The equivalent amount the company paid as insurance = $3 for every $1,000

The percentage amount in revenue the park revenue increases by = 25%

Therefore, the new amount in revenue = 1.25 × $250,000,000 = $312,500,000

The amount to be paid as insurance if the revenue increases = $315,500,000 × 3/1000 = $937,5000

The amount to be paid as insurance if the revenue increases = $937,000

2) It is reasonable for the insurance cost to increase proportionally when the items insured which leads to the increase in revenue increases because the value of the risk insured which is the event of settlement for losses increases as well as the probability of the risk occurring also increases.

Answer: length = 12 feet, width = 54 feet and depth = 6 feet.

Here are the solutions to the given problems:

1. To find the sum of cells A1 and C3, we simply write the formula as: =SUM(A1,C3)

2. To find the sum of all rows from A5 to A27 using the range operator, we use the formula: =SUM(A5:A27)

3. To determine the largest value in cells D2 and D3, we use the formula: =MAX(D2,D3)

4. To find the number of numeric values from rows F5 to F21, cell G12, and cell H9, we use the formula: =COUNT(F5:F21,G12,H9)

The above formulas are used in Microsoft Excel for performing calculations.

Microsoft Excel is a popular spreadsheet program developed by Microsoft. It is a part of the Microsoft Office suite of productivity software, which also includes programs like Word, PowerPoint, and Outlook.

Excel provides a grid-based interface where users can organize and analyze data. The program uses a collection of cells arranged in rows and columns, forming a worksheet. Each cell can hold various types of data, such as numbers, text, dates, and formulas.

Excel offers a wide range of features and tools to perform calculations, create charts and graphs, manipulate data, and automate tasks. Users can enter data manually or import it from external sources, perform mathematical and statistical calculations, create formulas to link and manipulate data across cells, and use functions for various purposes.

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