I will give brainliest and ratings if you get this correct ​

I Will Give Brainliest And Ratings If You Get This Correct

Answers

Answer 1

Answer:

This is the equation we have to use in order to find the eigenvalues and eigenvectors of matrix A:

det(A - λI) = 0

where λ is the eigenvalue and I is the identity matrix.

So we have:

A - λI = [ -5-λ 1 2 ]

[ 0 -2-λ 0 ]

[ 4 2 -3-λ ]

And the determinant is:

det(A - λI) = (-5-λ)(-2-λ)(-3-λ) - 8(2+λ) = -λ^3 + 4λ^2 + 23λ - 40

We can factor this to get:

det(A - λI) = -(λ - 5)(λ - 2)(λ + 4)

So the eigenvalues are λ1 = 5, λ2 = 2, and λ3 = -4.

To find the eigenvectors for each eigenvalue, we need to solve the system of linear equations:

(A - λI)x = 0

For λ1 = 5, we have:

[ -5-5 1 2 ] [ x1 ] [ 0 ]

[ 0 -2-5 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3-5] [ x3 ] [ 0 ]

which simplifies to:

[ -10 1 2 ] [ x1 ] [ 0 ]

[ 0 -7 0 ] [ x2 ] = [ 0 ]

[ 4 2 -8 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -1/2 x2

x3 = -1/2 x2

So the eigenvector for λ1 = 5 is:

v1 = [ x1, x2, x3 ] = [ -1/2, 1, -1/2 ]

For λ2 = 2, we have:

[ -5-2 1 2 ] [ x1 ] [ 0 ]

[ 0 -2-2 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3-2] [ x3 ] [ 0 ]

which simplifies to:

[ -7 1 2 ] [ x1 ] [ 0 ]

[ 0 -4 0 ] [ x2 ] = [ 0 ]

[ 4 2 -5 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -2/3 x2

x3 = -4/3 x2

So the eigenvector for λ2 = 2 is:

v2 = [ x1, x2, x3 ] = [ -2/3, 1, -4/3 ]

For λ3 = -4, we have:

[ -5+4 1 2 ] [ x1 ] [ 0 ]

[ 0 -2+4 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3+4] [ x3 ] [ 0 ]

which simplifies to:

[ -1 1 2 ] [ x1 ] [ 0 ]

[ 0 2 0 ] [ x2 ] = [ 0 ]

[ 4 2 1 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -2/5 x2

x3 = 1/2 x2

So the eigenvector for λ3 = -4 is:

v3 = [ x1, x2, x3 ] = [ -2/5, 0, 1/2 ]

To determine matrix A's sign definiteness, we must compute the determinant of all of A's primary submatrices. A square submatrix generated by eliminating the equal amount of rows and columns from the top left corner of A is known as a primary submatrix.

The principal submatrices of A are:

A1 = [-5]

A2 = [ -5 1 ]

[ 0 -2 ]

A3 = [ -5 1 2 ]

[ 0 -2 0 ]

[ 4 2 -3 ]

The determinants of these matrices are:

det(A1) = -5

det(A2) = (-5)(-2) - (0)(1) = 10

det(A3) = (-5)(-2)(-3) + 2(0)(4) + (1)(0)(2) - (-3)(1)(4) - 2(0)(-5) - (-2)(2)(-5) = -92

Because A1's determinant is negative, A is not positive definite. A is not negative definite since the determinants of A1 and A2 have different signs. As a result, A is infinite.


Related Questions

A relief worker needs to divide 2250 bottles of water and 144 cans of food into boxes that each contain the same number of items.​ Also, each box must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ box?

Answers

The required, we can put 125 bottles of water or 8 cans of food in each box, and each box will contain the same number of items.

To find the largest number of relief supplies that can be put in each box, we need to find the greatest common factor (GCF) of 2250 and 144. We can do this by listing the prime factors of each number:

2250 = 2 * 3 * 3 * 5 * 5 * 5 * 2

144 = 2 * 2 * 2 * 2 * 3 * 3

To find the GCF, we need to find the highest power of each common prime factor that appears in both numbers. In this case, the common prime factors are 2 and 3, so we take the highest power of each:

2 * 3 * 3 = 18

So the largest number of relief supplies that can be put in each box is 18. We can check that this works by dividing each quantity by 18:

2250/18 = 125

144/18 = 8

Learn more about grates common factors here: https://brainly.com/question/11221202
#SPJ1

a cube is cut into two pieces by a single slice that passes through point a,band c what shape is the cross section

Answers

If points A, B, and C are not three nonadjacent vertices of the cube or three adjacent vertices of the cube, then the cross-section will be a polygon with more than four sides, and its shape will depend on the location of the points A, B, and C on the cube.

What is meant by cross section?

The form we obtain by cutting a straight through an object is called a cross-section.

The shape of the cross section of a cube that is cut into two pieces by a single slice that passes through point A, B, and C depends on the location of these points on the cube.

If points A, B, and C are three nonadjacent vertices of the cube, then the cross section will be a triangle. Specifically, it will be an isosceles triangle with base equal to the length of the edge of the cube and legs equal to the distances between point A and the other two points B and C.

If points A, B, and C are three adjacent vertices of the cube, then the cross section will be a square. Specifically, it will be a square with side length equal to the length of the edge of the cube.

If points A, B, and C are not three nonadjacent vertices of the cube or three adjacent vertices of the cube, then the cross section will be a polygon with more than four sides, and its shape will depend on the location of the points A, B, and C on the cube.

To know more about cross section visit,

brainly.com/question/3603397

#SPJ1

Write an equation for an ellipse centered at the origin, which has foci at
(
0
,
±
15
)
(0,±15)left parenthesis, 0, comma, plus minus, 15, right parenthesis and co-vertices at
(
±
8
,
0
)
(±8,0)left parenthesis, plus minus, 8, comma, 0, right parenthesis.

Answers

The equation of the ellipse is:

x²/64 + y²/289 = 1

How to determine the equation of an ellipse?

The standard form of the equation of an ellipse with centered at the origin and major axis parallel to the vertical is:

x²/b² + y²/a² = 1

Coordinates of covertices are ( ±b, 0) = (±8, 0)

Coordinates of foci are (0, ±c) = (0, ±15)

Also c²= a²-b²

a² = b² + c²

a² = 8² + 15²

a² =289

a = √289

a = 17

Using x²/b² + y²/a² = 1:

x²/8² + y²/17² = 1

x²/64 + y²/289 = 1

Learn more about equation of ellipse on:

brainly.com/question/16904744

#SPJ1

Complete Question

Write an equation for an ellipse centered at the origin, which has foci at (0,±15) and co-vertices at (±8,0)

x^2+25x+136=0 use the quadratic formula

Answers

Using the quadratic equation, the solution is x = -8 and x = -17.

What is the quadratic equation?

A second-order equation of the form ax2 + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

The equation is x²+25x+136=0

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

For the given equation x² + 25x + 136 = 0, we can identify a = 1, b = 25, and c = 136.

Substituting these values in the quadratic formula, we get:

x = (-25 ± √(25² - 4(1)(136))) / 2(1)

x = (-25 ± √(625 - 544)) / 2

x = (-25 ± √(81)) / 2

imply them

x = (-25 + 9) / 2 or x = (-25 - 9) / 2

x = -8 or x = -17

Therefore, the solutions to the quadratic equation x^2 + 25x + 136 = 0 are x = -8 and x = -17.

Learn more about quadratic equations, here:

https://brainly.com/question/30098550

#SPJ1

What should you know about your audience?

A) how much experience they have had doing research

B) their preferences for recreation

C) what are their astrological signs are

D) what they already know about your topic

Answers

Answer: B) their preferences for recreation

Step-by-step explanation:

8. You and your friend each collect coins and stamps. Your friend collects one fifth as many coins and twice as many stamps as you. You collect a total of 70 coins and stamps. Your friend collects a total of 95 coins and stamps.
How many coins and how many stamps do you each collect?

Answers

Answer:

you: 25 coins, 45 stampsfriend: 5 coins, 90 stamps

Step-by-step explanation:

Given you have collected 70 coins and stamps, and your friend has collected 1/5 as many coins and twice as many stamps, for a total of 95 coins and stamps, you want the numbers of each.

Setup

We can let x represent the number of coins you have collected. Then 70 -x is the number of stamps you have collected. The corresponding numbers for your friend are x/5 coins and 2(70-x) stamps. Your friend's collection is ...

  x/5 +2(70 -x) = 95

Solution

  -9/5x +140 = 95 . . . . . . . . simplify

  45 = 9/5x . . . . . . . . . . . . . add 9/5x -95

  25 = x . . . . . . . . . . . . . . . . multiply by 5/9

  70 -x = 45

  1/5x = 5

  2(70 -x) = 90

You collect 25 coins and 45 stamps; your friend collects 5 coins and 90 stamps.

<95141404393>

An element with mass 420 grams decays by 11.8% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?

Answers

After 16 minutes of decay, approximately 182.3 grams of the element remains.

To calculate how much of the element remains after 16 minutes of decay, we can use the formula for exponential decay:

A = A₀ * [tex]e^{(-kt)[/tex]

where A is the amount of the element remaining after time t, A₀ is the initial amount of the element, k is the decay constant, and t is the elapsed time.

In this case, we have A₀ = 420 grams, k = 0.118 (since the element decays by 11.8% per minute), and t = 16 minutes. Plugging these values into the formula, we get:

A = 420 * [tex]e^{(-0.118*16)[/tex]

A = 182.3 grams

We round our answer to the nearest 10th of a gram, as requested in the problem.

To learn more about decays click on,

https://brainly.com/question/30033177

#SPJ1

Need help please
Geometry

Answers

Answer:

vertical because they are right across from each with the same degrees

In each of 10 consecutive weeks, 1000 college students were randomly selected and the number who applied for credit cards that that weck was determined. The results are listed below. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
465 502 395 488 472 462 524 434 481 386

Answers

The centerline=  459.9

The upper control limit=  852.55.

The lower control limit = 67.25.

How do we calculate?

We determine the mean to set up the standard limits:

Mean is gotten as :

(465 + 502 + 395 + 488 + 472 + 462 + 524 + 434 + 481 + 386) / 10

mean = 459.9

we then find the Standard Deviation:

Standard Deviation = √variance

variance = ((465-459.9)^2 + (502-459.9)^2 + (395-459.9)^2 + (488-459.9)^2 + (472-459.9)^2 + (462-459.9)^2 + (524-459.9)^2 + (434-459.9)^2 + (481-459.9)^2 + (386-459.9)^2) / 9

variance = 17119.1

Standard Deviation = √(17119.1)

Standard Deviation= 130.88

Hence

Centerline = 459.9

upper control limit  = 459.9 + 3 x (130.88) = 852.55

lower control limit. = 459.9 - 3 x (130.88) = 67.25

Learn more about standard deviation at:

https://brainly.com/question/24298037

#SPJ1

Solve: log2(x-1)+log2(x+5)=4

Answers

Answer: X=3

Step-by-step explanation:

You bake 7 different pies for a bake sale. You sell 4 pies on the first day of the sale. Use the Fundamental Counting Principle to find the probability that your
friend correctly guesses which pies were sold on the first try. Write your answer as a fraction in simplest form.
Probability:

Answers

The probability of correctly guessing which pies were sold on the first day is  near to 2/3.

What is Fundamental Counting Principle?

The Fundamental Counting Principle states that if there are m number of ways to do an activity and n number of ways for a second activity, then there are m x n ways to do the two activities together.

In this case, there are 7 pies and 4 of them were sold on the first day. Therefore, the probability of correctly guessing which pies were sold on the first day is 4/7.

This can be written in simplest form as 2/3.

In conclusion, the probability of correctly guessing which pies were sold on the first day is 2/3.

For more questions related to probability

https://brainly.com/question/7965468

#SPJ1

Solve for the value of x. Show your work and explain the steps you used to solve. Round your answer to the nearest
tenth.
B
D x
45
24
C

Answers

The calculated value of x from the special triangle is 17.0

Calculating the value of x

From the question, we have the following parameters that can be used in our computation:

The right triangle

The right triangle is a special triangle that has a measure of 45 degrees

For a triangle that has a measure of 45 degrees, we have

Hypotenuse = Legs√2

In this case, we have

Leg = x

Hypotenuse = 24

So, we have

x√2 = 24

Divide by √2

x = 24/√2

Evaluate

x = 17.0

Hence, the calculated value of x is 17.0

Read more about right triangle at

https://brainly.com/question/2437195

#SPJ1

Answer the following questions.

Answers

a) The number of weeks that she has been saving when she needs $277 is given as follows: 17 weeks.

b) The amount she will need after 5 weeks is given as follows: $505.

How to obtain the amounts?

The function for this problem is defined as follows:

A(w) = 600 - 19w.

The output of the function is the amount remaining after w weeks.

Hence the number of weeks that she has been saving when she needs $277 is obtained as follows:

277 = 600 - 19w

19w = 600 - 277

w = (600 - 277)/19

w = 17 weeks.

The amount that she needs after 5 weeks is given as follows:

A(5) = 600 - 19 x 5

A(5) = $505.

More can be learned about functions at https://brainly.com/question/1415456

#SPJ1

9. data was collected on houses currently for sale. based on a cubic modeling equation, which prediction about this data is the most reliable? a.
a $70k house would have 1,354 square ft
b. a $70k house would have about 1,460 square ft
c. a $400k house would have 492 square ft
d. a $400k house would have 4,328 square ft

10. suppose a scatterplot is created from the points in the following table. when x=7, what is the second coordinate in a scatterplot of the linearized data? round the answer to the tenth place.
a. 0.8
b. 2.1
c. 54.3
d. 112.8

11. the equation that best models the linearized data for a particular data set is log y= 0.75821x+0.03442. find the approximate value x=4. round your answer to the nearest whole number.
a. 3
b. 25
c. 1,168
d. 62,034

Answers

question 9.

Based on a cubic modeling equation, the  prediction about this data that is  most reliable is a $70k house would have 1,354 square ft.

Option A is correct.

Question 10.

The second coordinate in a scatterplot of the linearized data and  rounding the answer to the tenth place is 0.8

Option A is correct.

Question 11.

The approximate value when x=4 and rounding the answer to the nearest whole number is 1,168

Option C is correct.

How do we calculate?

The equation is given as

Log y= 0.75821x+0.03442

We substitute x = 4 into the given equation and solve for y:

log y = 0.75821(4) + 0.03442

log y = 3.07286 + 0.03442

log y = 3.10728

We take the antilogarithm of both sides,

y = 10^(3.10728)

y = 1,168.66

Rounding off, the closest answer is option  (c) 1,168.

Learn more about antilogarithm at:

https://brainly.com/question/29102845

#SPJ1

1. Trish can complete 10 problems in 60 minutes. At this rate, could she complete 25 problems in 130 minutes? Write your answer as Yes or No.

2. How many minutes would it take Trish to complete 15 problems?

3. Solve the proportion. 5/27 = x/54. Write your answer as x = "_".

Answers

Trish can complete 10 problems in 60 minutes. To determine if she can complete 25 problems in 130 minutes, the answer is No. To complete 15 problems, it would take Trish 90 minutes. Solving the proportion, x = 10.

Mari makes bows for floral arrangements she uses 1/8 yard of ribbon for each bow .how many bows can she make from 24 yards of ribbon

Answers

First, you need to find out how much ribbon she has total. Because there are two spools, you multiply 24 x 2. The answer for that is 48. Then you have to figure out how many bows she can make. Each bow uses 1/8 of a piece of yard of ribbon, so you can divide 48 by 8. Your answer would then be 6 bows.

Here are the equations.

[tex]24\times2 = \text{X}[/tex]

[tex]\dfrac{\text{X}}{8} =\text{B}[/tex]

Where X represents the yards of ribbon available and B represents the number of bows that Mari can make.

Complete Question:

Mari makes bows for floral arrangements. She uses 1/8 of a yard ribbon for each bow. How many bows can she make from 2 spools that each has 24 yards ribbon?

K(10,..), L. (..,20), and M (30,.. .. are on that line too. Write their missing coordinates.

Answers

The coordinate of points K, L and M is the location of the points on a coordinate plane

Here, we have,

to determine the missing coordinates:

The given parameters are:

K = (10, )

L = ( ,10)

M = (30, )

The question has missing parameters.

So, I will assume that the line is a perfectly horizontal line.

This means that the y-coordinates of points K, L and M are equal.

The y-coordinate of point L is 10.

So, we have:

K = (10, 10)

L = ( ,10)

M = (30, 10)

Assume that point L is halfway points K and M, then we have:

K = (10, 10)

L = (20, 10)

M = (30, 10)

See attachment for the diagram of the coordinate plane showing the line

Read more about coordinate planes at:

brainly.com/question/7243416

#SPJ1

In the state of Pennsylvania 12% of students submit box tops for education to their school. a large school district in western Pennsylvania runs a contest to see if they can increase participation. the superintendent takes a random sample of 210 students from the district and finds that 35 have submitted box tops this year.

(a) do these data provide convincing evidence that the contest has increased participation in the box tops for education program?

(b) interpret the p-value from part (a).

Answers

If in sample of 210 students from district and finds 35 have submitted "box-tops" this year, then

(a) Yes, data provide enough evidence regarding contest which has increased participation in "box-tops" for "education-program",

(b) the p-value is 0.0187.

Part(a) : To find if contest has increased the participation in "box-tops" for "education-program", we conduct a "hypothesis-test".

We use a "significance-level" of 0.05, which means we will accept a 5% chance of making a "Type I Error",

Let Null Hypothesis ⇒ The proportion of students submitting "box-tops" is = 12%,

Let Alternative Hypothesis ⇒ The proportion of students submitting "box-tops" for education is increased after contest,

To test above hypothesis, we use "one-sample" proportion-test.

We will use the sample proportion (p') = 35/210 = 0.1667, as estimate of  population proportion (p).

So, "test-statistic" (z) is ⇒ z = (p' - p₀)/√(p₀ × (1-p₀)/n),

where n = sample size,

In "Null-Hypothesis", the "expected-value" of the test statistic is 0, and  "standard-deviation" of the "test-statistic" is √(p₀×(1-p₀)/n),

Substituting, p₀ = 0.12 and n = 210,

We get,

⇒ z = (0.1667 - 0.12)/√(0.12 x 0.88/210) ≈ 2.08,

Now, we know that "right-tailed" critical value at 0.05 level is = 1.645,

Since, z (2.08) > 1.645, the Null-Hypothesis is Rejected.

So, above data provides enough evidence regarding contest has increased the participation in "box-tops" for "education-program".

Part(b) : We need to find the "p-value" for the test-statistic that we found in part(a),

So, p-value = P(z>2.08),

⇒ 1 - P(z ≤ 2.08),

⇒ 1 - 0.9813,

⇒ 0.0187,

Therefore, the required "p-value" is 0.0187.

Learn more about P-Value here

https://brainly.com/question/29842196

#SPJ1

Consider the number 3^6.

Rewrite the number as the product of two whole-number powers of 3.

Answers

We can rewrite 3^6 as the product of two whole-number powers of 3 as: [tex]3^4 . 3^2.[/tex]

How can we rewrite the number as the product?

To rewrite 3^6 as the product of two whole-number powers of 3, we need to find two exponents that add up to 6.

A way to do this is to use the fact that 3^4 = 81, which is close to 3^6.

Specifically, we have:

3^6 = 3^4 * 3^2

We can check that this is true by using the rule for multiplying exponents that states that a^m * a^n = a^(m+n).

Applying this rule, we get:

= 3^4 * 3^2

= 3^(4+2)

= 3^6.

Read more about product

brainly.com/question/28782029

#SPJ1

Suppose that you are thinking about buying a car and have narrowed down your choices to two options.
The new-car option: The new car costs $31,000 and can be financed with a three-year loan at 7.19%.
The used-car option: A three-year old model of the same car costs $16,000 and can be financed with a four-year
loan at 5.89%.
What is the difference in monthly payments between financing the new car and financing the used car? Use
PMT=
[-(19]
The difference in monthly payments between financing the new car and financing the used car is
(Round to the nearest cent as needed.)

Answers

Answer:

To calculate the monthly payments for each option, we can use the PMT function in Excel or a financial calculator.

For the new car option:

Loan amount = $31,000

Interest rate (annual) = 7.19%

Loan term = 3 years

Number of payments = 3 x 12 = 36

Using the PMT function in Excel, we get:

PMT(7.19%/12, 36, -$31,000) = $966.59

For the used car option:

Loan amount = $16,000

Interest rate (annual) = 5.89%

Loan term = 4 years

Number of payments = 4 x 12 = 48

Using the PMT function in Excel, we get:

PMT(5.89%/12, 48, -$16,000) = $385.36

The difference in monthly payments between the two options is:

$966.59 - $385.36 = $581.23

Therefore, the difference in monthly payments between financing the new car and financing the used car is $581.23.

Step-by-step explanation:

The royal fruit company produces 2 types of drinks. The first type is 35% pure fruit juice,and the second type is 85%pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. How many pints of each of the two existing type of drink must be used to make 150pints of a mixture that is 75% pure fruit juice

Answers

Answer:

We should use 30 pints of the first drink and 120 pints of the second drink

Step-by-step explanation:

Let x represent the number of pints of the first drink used
Volume of fruit juice in x pints = 35% of x = 0.35x

Let y represent the number of pints of the second drink used
Volume of fruit juice in y pints = 85% of y= 0.85y

Since the final mixture volume is 150 pints we get
x + y = 150  ..... [1]

If the final mixture has to contain 75% pure fruit juice, the volume of fruit juice in the mixture = 0.75 x 150 = 112.5 pints


Therefore
0.35x + 0.85y = 112.5  ...[2]

We will solve this set of simultaneous equations by making the coefficients of one of the variables equal and then subtracting to eliminate that variable

Multiply equation [1] by 0.35 to get the x coefficients equal

0.35 x [1]
=>  0.35(x + y) = 0.35(150)

=> 0.35x + 035y = 52.5  ... [3]

Subtract [3] from [2]:

[3] - [2] =>

0.35x + 0.85y - (0.35x + 035y) = 112.5 - 52.5

0.35x + 0.85y - 0.35x - 0.35y = 60

0x + 0.5y = 60

0.5y = 60

y = 60/0.5

y = 120

Therefore x = 150 - 120 = 30

Therefore we should use 30 pints of the first drink and 120 pints of the second drink

A


Let x be the number of pints of the first type of drink (35% pure fruit juice), and y be the number of pints of the second type of drink (85% pure fruit juice).

We know that the total number of pints of the mixture is 150:

x + y = 150

We also know that the mixture is 75% pure fruit juice:

0.35x + 0.85y = 0.75(150)

Simplifying the second equation:

0.35x + 0.85y = 112.5

Multiplying the first equation by 0.35:

0.35x + 0.35y = 52.5

Subtracting this equation from the second equation:

0.5y = 60

y = 120

Substituting y = 120 into the first equation:

x + 120 = 150

x = 30

Therefore, the company needs to use 30 pints of the first type of drink and 120 pints of the second type of drink to make 150 pints of a mixture that is 75% pure fruit juice.

Find the exact value of x. (7 - 9).
Find the exact values of x and y. (10 - 12).

Answers

7. The exact values of x is 17.

8. The exact values of x is 12.

9. The exact values of x is 10.9.

10. The exact values of y is 15.

11. The exact values of y is 15.

12. The exact values of y is 6.

What is the exact value of x and y?

The exact values of x and y is calculated by applying Pythagoras theorem as follows;

7.

x² = 8² + 15²

x² = 289

x = √289

x = 17

8.

x² = 15² - 9²

x² = 144

x = √144

x = 12

9.

x² = 12² - 5²

x² = 119

x = √119

x = 10.9

The value of y is calculated as follows;

10.

y² = 12² + 9²

y² = 225

y = √(225)

y = 15

11.

y² = 17² - 8²

y² = 225

y = √(225)

y = 15

12.

y/10 = 6/10

y = 6

Learn more about right triangles here: https://brainly.com/question/1248322

#SPJ1

Calculate how far the village is north of O​

Answers

Step-by-step explanation:

See image

In 2010, the mean starting salary for college graduates who major in Statistics was $54000. An analyst for a job searching company claims that the mean starting salary has since increased. In a random sample of 40 job posting requiring knowledge of Statistics, the mean starting salary was $63500 with a standard deviation of $10540. Test the claim using a significance level of 0.05.

Answers

Our calculated t-value of [tex]4.22[/tex] is greater than the critical t-value of 1.684, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.

How can we Test the claim using a significance level of [tex]0.05[/tex]?

We can use a one-sample t-test to test the claim that the mean starting salary for college graduates who major in Statistics has increased.

The null hypothesis is that the mean starting salary is still $[tex]54000[/tex], while the alternative hypothesis is that the mean starting salary is greater than $[tex]54000[/tex].

We can calculate the t-statistic as:

t = (sample mean - null hypothesis value) / (standard error of the mean)

= [tex](63500-54000)/(10540/\sqrt{40}[/tex]

= [tex]4.22[/tex]

where [tex]\sqrt{40}[/tex] is the sample size.

The degrees of freedom for the t-test is [tex](n-1) = 39[/tex], where n is the sample size.

Using a t-table or calculator with [tex]39[/tex] degrees of freedom, a one-tailed test, and a significance level of [tex]0.05[/tex], we find the critical t-value to be [tex]1.684[/tex]

Since our calculated t-value of [tex]4.22[/tex] is greater than the critical t-value of [tex]1.684[/tex], we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.

To know more about statistics

https://brainly.com/question/31538429

#SPJ1

This is indirect measurement, I need some help on this one ):

Answers

The height of the building , given the shadow that it casts would be 93 meters tall .

How to find the height of the building ?

Utilizing proportions can be an effective method to tackle this issue. By defining ' h ' as the height of the building responsible for casting a 39.75 meter shadow, we may establish the ensuing proportion :

h / 39. 75 = 3. 2 / 1. 37

Solving for h gives us :

h / 39. 75 = 2. 336

h = 2. 336 x 39. 75

h = 92. 8 56

h = 93 meters tall

Find out more on height at https://brainly.com/question/28708115

#SPJ1

3 divided by 2/5 quotient

Answers

Answer:

3 divide 2/5 is 7.5 since 2/5 is 0.4

what the work out 320.041 - 47.96

Answers

Working out the expression 320.041 - 47.96 gives 272.081

Work out the expression 320.041 - 47.96

From the question, we have the following parameters that can be used in our computation:

320.041 - 47.96

The above expression is a difference or subtraction expression that can be done using a calculator

Using the above as a guide, we have the following:

320.041 - 47.96

Evaluate using a calculator

So, we have

320.041 - 47.96 = 272.081

Hence, teh solution of 320.041 - 47.96 is 272.081

Read more about expression at

https://brainly.com/question/1859113

#SPJ1

if I bike for 180 minutes and I cover a
total distance of 47 Mi what is my
average speed
Average Speed Calculator

Answers

The average speed of the bike is calculated as: 15.67 mph

How to find the average speed?

The formula for the average speed is:

Average speed = Distance/Speed

We are given the parameters as:

Time = 180 minutes = 3 hours

Distance = 47 miles

The average speed is defined as the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

Thus:

Average speed = 47/3

= 15.67 mph

Read more average speed at: https://brainly.com/question/4931057

#SPJ1

The data shows the number of years that a random sample of 20 employees worked for an insurance company before retirement. Employee Number Years Worked 1 8 2 13 3 15 4 3 5 13 6 28 7 4 8 12 9 4 10 26 11 29 12 3 13 10 14 3 15 17 16 13 17 15 18 15 19 23 20 13 The sample mean for the number of years worked is , and % of the employees in the sample worked for the company for at least 10 years. Round your answers to the nearest integer.

Answers

The sample mean for the number of years worked is 12.9, and 35% of the employees in the sample worked for the company for at least 10 years.

To find the sample mean, we need to add up all the years worked and divide by the total number of employees:

8 + 13 + 15 + 3 + 13 + 28 + 4 + 12 + 4 + 26 + 29 + 3 + 10 + 3 + 17 + 13 + 15 + 15 + 23 + 13 = 258

So, the sample mean is 258/20 = 12.9 (rounded to the nearest tenth).

To find the percentage of employees who worked for at least 10 years, we need to count the number of employees who worked for 10 years or more.

From the data, we see that 7 employees worked for at least 10 years (Employee Number: 2, 3, 5, 10, 11, 15, and 19). So, 7 out of 20 employees worked for at least 10 years, which is 35%. Therefore, the answer is 35% (rounded to the nearest integer).

To learn more about mean click on,

https://brainly.com/question/28195909

#SPJ1

You have 36 liters of fuel and just added 4,000 milliliters more. How many hectoliters of fuel do you have?

Answers

Answer:

we have to first start converting the given volume to liters, since the answer is expected in hectoliters.

36 liters + 4,000 milliliters = 36 liters + 4 liters = 40 liters

1 hectoliter = 100 liters

Therefore, we have:

40 liters = 0.4 hectoliters

So, we have 0.4 hectoliters of fuel.

Answer:

0.4 hectoliters of fuel

Step-by-step explanation:

We Know

You have 36 liters of fuel and just added 4,000 milliliters more.

How many hectoliters of fuel do you have?

1000 milliliters = 1 liters

4000 milliliters = 4 liters

We Take

36 + 4 = 40 liters of fuel

We Convert 40 liters to hectoliters

1 liter = 0.01 hectoliters

40 liters = 40 x 0.01 = 0.4 hectoliters

So, you have 0.4 hectoliters of fuel.

Other Questions
5. The main idea of this passage is thatA. James Madison caused big arguments between different states.B. James Madison created a plan that made sure all states were equal regardless ofsize.C. James Madison created a plan that helped form the Constitution.D. James Madison took over the Constitutional Convention and wrote the Constitution byhimself.Anyone pls ray of light exits from a metal with a refractive index of 1.75 travelling to the air the angle of refraction is 25. what is the angle of deviation Which mineral cannot split easily along a certain direction in the mineral? A. feldspar B. calcite C. quartz D. mica evaluate the iterated integral. /3 0 9 0 y cos(x) dy dx The deepest part of a curved stream channel, where the flow is fastest, is called the ______. a. base level b. point bar c. stream gradient d. thalweg. A gas has a volume of .5m3 (cubed) at 10C (283K) and 2atm. What is its new volume if...a) 60C (333K) and 2atmb) 10C (283K) and 3atmShow your work. green lawns, inc., performs adjusting entries every month, but closes its accounts only at year-end. the following is the companys year-end adjusted trial balance dated december 31, current year.a-1. Prepare an income statement for the year ended December 31, current year.a-2. Prepare a statement of retained earnings for the year ended December 31, current year.a-3. Prepare the companys balance sheet dated December 31, current year.b. Does the company appear to be liquid?c. Has the company been profitable in the past? Name the verbs in the following sentences, and tell whether they are in the active or in the passive voice1.i see a dark cloud I think of a number, take away 1 and multiply the result by 3 A conducting disk with radius a, height h a, and conductivity is immersed in a time varying but spatially uniform magnetic field parallel to its axis. B(t) = Bo sin(wt)2 a) [6 pts] Ignoring the effects of any induced magnetic fields, find the induced electric field E(r, t) and the current density J(r, t) in the disk. Sketch the current distribution. b) [3 pts If the power dissipated in a resistor is P IV, show that the power dissipated per unit volume is J-E. c) [3 pts] Use your results from parts a) and b) to calculate the total power dissipated in the disk at time t, and the average power dissipated per cycle of the field. d) [6 pts] Suppose the disk was roughly the size of the solid base of a typical frying pan, and the frequency was 20 kHz, what approximate scale for Bo would you need to significantly heat up the pan (say, 1000 watts of power). Does this seem feasible? Then, use the current distribution in part a) to determine the induced magnetic field at the center of the pan. Is the induced magnetic field small compared to the applied field? Britney is buying a shirt and a hat at the mall. The shirt costs $34.94, and the hat costs $19.51. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.) Iodine-131 has a half-life of 8 days. How many grams of a 256 g sample would remain at the end of 56 days? An insulating rod carries +2.0 nC of charge. After rubbing it with a material, you find it carries -3 nC of charge. How much charge was transferred to it? 1x10E-9 Why? a)-5 nC 3 nC l nC HELP ASAP! ( I MEAN 10 MINUTES ) ( 15 POINTS )Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food. Canine Cakes Bark Bits Woofy WafflesSize (pounds) 30 40 28Cost $54 $70 $42Part A: Calculate the corresponding unit rate for each package. (9 points)Part B: Determine the best buy using the unit rates found in Part A. Explain your answer. (3 points) what is the main difference between discretionary spending and mandatory spending? discretionary spending is authorized by permanent laws. mandatory spending is authorized by the appropriation process of congress each year. there is no difference between discretionary spending and mandatory spending. both types of spending are used to finance welfare programs. discretionary spending is authorized by the appropriations process of congress each year. mandatory spending is authorized by permanent laws. discretionary spending varies from year to year. mandatory spending is fixed. Give an algorithm to tell, for two regular languages, L1 and L2 over the same alphabet , whether there is any string in * that is in neither L1 nor L2.** The languages are indicated to be Regular Languages, so assume you are given anyof the "finite descriptions", e.g., DFA, NFA, RegEx, Regular Grammar, and then apply transformations known to be effective procedures, e.g., transform a NFA to a DFA, as a single step in your algorithm. in cis-hept-4-en-2-yne the shortest carbon-carbon bond is between carbons _________ a. C2 and C3 b. C1 and C2 c. C6 and C7 d. C4 and C5 A ladder leans against the side of a house. The angle of elevation of the ladder is 61 degrees , and the top of the ladder is 5 m above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth. if the companys fixed costs are $426,000 per year, what is the sales dollar amount of each type of candle that must be sold to break even? Why would a wealthy business owner oppose socialism?