The following information are obtained: • A portfolio contains two types of policies. Type A policies have no deductible and a policy limit u. A total of 50 losses that are less then u were recorded on Type A, y1 , y2 , … , y50, and a total of 50 losses that exceed u were also recorded on Type A. • Type B have a deductible of u and no policy limit. Losses that are less than u are not recorded on Type B policies. A total of 50 losses that exceed u were recorded on Type B policies, z1 , z, … , z50 . • The random variable X for the underlying losses for both types of policies has density function (x;theta) and (x;theta). Provide the likelihood function, L, that is used to find the MLE of theta.

Answers

Answer 1

The likelihood function, denoted as L, is used to find the maximum likelihood estimate (MLE) of theta, the parameter in the density function for the underlying losses in Type A and Type B policies.

To construct the likelihood function, we need to consider the information about Type A and Type B policies separately. For Type A policies, we know that there are 50 losses recorded that are less than the policy limit u, denoted as y1, y2, ..., y50. Additionally, there are 50 losses recorded that exceed u on Type A policies. The density function for Type A policies is (x; theta).

The likelihood function for Type A can be expressed as L(Type A; theta) = [(density function evaluated at y1) * (density function evaluated at y2) * ... * (density function evaluated at y50)] * [[tex](1 - cumulative distribution function evaluated at u) ^ {50}[/tex]].

Moving on to Type B policies, we know that there are 50 losses recorded that exceed the deductible u, denoted as z1, z2, ..., z50. The density function for Type B policies is also (x; theta).

The likelihood function for Type B can be expressed as L(Type B; theta) = [(density function evaluated at z1) * (density function evaluated at z2) * ... * (density function evaluated at z50)].

Finally, to find the MLE of theta, we can multiply the likelihood functions for Type A and Type B, since the policies are independent. Thus, the overall likelihood function L(theta) = L(Type A; theta) * L(Type B; theta) represents the joint likelihood for both types of policies, which can be maximized to find the MLE of theta.

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Related Questions

Show that the following are equivalent, for Snopea filter Fonot todological Space X 9 f is if G is G an open set in C and CnH+ 0 s G for each Hef, then CEF c) iz G is G ° open and C & F, then X-cef ?

Answers

The given statement is true  (i) implies (ii) and (ii) implies (i).

The statement in the question that needs to be proven is :C & F, then X-cef = G is G an open set in C and CnH+ 0 s G for each Hef

We will prove that (i) implies (ii) and (ii) implies (i).

Proof: (i) C & F, then X-cef = G is G an open set in C and CnH+ 0 s G for each Hef

Let X \ {C & F} = U, then U is open, since C & F is closed.

Let H be any point of U.

By hypothesis, there exists an open set G such that CnH+ 0 s G.

Let x in G. If x ∈ C & F, then x ∉ H, so x ∉ U.

Thus, G ⊆ C, and so G ∩ U = ∅.

Hence, U is open(ii) G is G an open set in C and CnH+ 0 s G for each Hef

Let x ∈ X-C & F.

Then x ∉ C & F, so x ∉ C.

Since C is closed, there exists a neighborhood G of x that is disjoint from C.

Let H be any point of X-C & F.

Then H ∈ G and so CnH+ 0 s G.

Thus, C & F is closed.

Therefore, X-C & F is open, since C & F is closed.

Thus, X-C & F = G.

Hence, (ii) implies (i).

Therefore, the statement in the question is proven.

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Circle | was dilated with the orgin as the center of dilation to create Circle ||.
Which rule best represents the dilation applied to Circle | to create Circle ||?

Answers

Step-by-step explanation:

The rule that best represents the dilation applied to Circle | to create Circle || is the scale factor. The scale factor determines the ratio of corresponding lengths between the original figure (Circle |) and the dilated figure (Circle ||).

In a dilation, all lengths in the original figure are multiplied by the scale factor to obtain the corresponding lengths in the dilated figure. This includes the radii of the circles.

For example, if the scale factor is 2, it means that every length in the original figure is doubled in the dilated figure. If the scale factor is 1/2, it means that every length is halved. The scale factor can be greater than 1, less than 1 (but greater than 0), or even negative, indicating a reflection.

In the context of the given scenario, since the origin is the center of dilation, the scale factor determines how the distances from the origin to any point on Circle | are scaled to obtain the corresponding distances on Circle ||.

For every six dollars that Jamal saves in his account, his brother saves eight dollars in his account.

If Jamal has $24.00 dollars in his account, how much money does his brother have in his account?

Answers

Answer:

jamel brother has 48.00 dollors

Step-by-step explanation:

Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos: 125 purple, two-headed Jolos; and
270 one headed Jolos.

Answers

Answer:

Option B

Step-by-step explanation:

We have to complete the table given in the question,

                         One headed               Two headed                    Total

Green                      100                       230 - 125 = 105        105 + 100 = 205

Purple            270 - 100 = 170                    125                      170 + 125 = 295

Total                         270                      500 - 270 = 230                500

By analyzing the given table,

Number of green Jolos in Balan's colony = Total of one headed green Jolos and Two headed green Jolos

= 205

Therefore, number of green Jolos in Balan's colony are 205.

Option B will be answer.

Answer:

When you put together the whole chart you will see the total is 205.

Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the corresponding eigenspaces. A = [2 -1]
[ 1 2]
λ1 = ___ has eigenspace span (__) (λ-value with smaller imaginary part) λ2 ___ has eigenspace span (__) (A-value with larger imaginary part)

Answers

An eigenvector corresponding to λ₂ = 2 - i is v₂ = [-1, 1].

To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

Let's compute the determinant:

det(A - λI) = |[2 - λ -1]|

|[ 1 2 - λ]|

Expanding along the first row, we have:

(2 - λ)(2 - λ) - (-1)(1) = (2 - λ)² + 1 = λ² - 4λ + 5 = 0

To solve this quadratic equation, we can use the quadratic formula:

λ = (-(-4) ± √((-4)² - 4(1)(5))) / (2(1))

= (4 ± √(16 - 20)) / 2

= (4 ± √(-4)) / 2

Since we are working over the complex numbers, the square root of -4 is √(-4) = 2i.

λ₁ = (4 + 2i) / 2 = 2 + i

λ₂ = (4 - 2i) / 2 = 2 - i

Now, let's find the eigenvectors corresponding to each eigenvalue.

For λ₁ = 2 + i, we solve the equation (A - (2 + i)I)v = 0:

[2 - (2 + i) -1] [x] [0]

[ 1 2 - (2 + i)] [y] = [0]

Simplifying, we have:

[0 -1 -1] [x] [0]

[ 1 0 - i] [y] = [0]

From the first equation, we have -x - y = 0, which implies x = -y.

Choosing y = 1, we have x = -1.

Therefore, an eigenvector corresponding to λ₁ = 2 + i is v₁ = [-1, 1].

For λ₂ = 2 - i, we solve the equation (A - (2 - i)I)v = 0:

[2 - (2 - i) -1] [x] [0]

[ 1 2 - (2 - i)] [y] = [0]

Simplifying, we have:

[0 -1 -1] [x] [0]

[ 1 0 i] [y] = [0]

From the first equation, we have -x - y = 0, which implies x = -y.

Choosing y = 1, we have x = -1.

In summary:

λ₁ = 2 + i has eigenspace span {[-1, 1]}

λ₂ = 2 - i has eigenspace span {[-1, 1]}

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If difference scores begin to pile up away from a sample mean difference score of Mp= 0, which of the following statements is true? a. The critical region is small.
b. The null hypothesis will likely be rejected. c. The sample size is large. d. The null hypothesis will likely fail to be rejected.

Answers

If difference scores begin to pile up away from a sample mean difference score of Mp= 0, the null hypothesis will likely be rejected. So, correct option is B.

This suggests that there is a likely effect or relationship between the variables being compared.

Option b. The null hypothesis will likely be rejected is the correct statement in this scenario. When the observed differences are consistently far from zero, it implies that the null hypothesis, which assumes no significant difference or effect, is unlikely to be true.

Thus, based on the evidence provided by the data, we would reject the null hypothesis in favor of an alternative hypothesis that suggests the presence of a difference or effect.

The critical region refers to the region of extreme values that would lead to rejecting the null hypothesis. While the size of the critical region can vary depending on the chosen significance level, it does not directly indicate the likelihood of rejecting the null hypothesis in this context.

Similarly, the sample size (option c) does not provide information about the likelihood of rejecting the null hypothesis in this situation.

So, correct option is B.

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a) SST represents the _____sum of squares.
b) SSTr represents the _____sum of squares.
c) SSE represents the _____sum of squares.

d) Which of the following statements is TRUE?
SSE = SSTr + SST
SST = SST - SSE
MSE = MST + MST
MST = MST + MSE
SST = SSTr + SSE
e) Which of the following represents the average between group variation?
σ
MSE
s
MST

Answers

a) SST represents the total sum of squares.

b) SSTr represents the treatment sum of squares.

c) SSE represents the error sum of squares.

d) The true statement is: SST = SSTr + SSE.

e) The average between-group variation is represented by MST (mean square treatment).

How to explain the information

a) SST (Total Sum of Squares) represents the total variation in the data. It measures the total deviation of each data point from the overall mean.

b) SSTr (Treatment Sum of Squares) represents the variation attributed to the treatment or factor being studied. It measures the deviation of each group mean from the overall mean.

c) SSE (Error Sum of Squares) represents the residual or unexplained variation in the data. It measures the deviation of each individual data point from its respective group mean.

d) The true statement is: SST = SSTr + SSE. This equation states that the total variation (SST) is equal to the sum of the variation attributed to the treatment (SSTr) and the residual or unexplained variation (SSE).

e) The average between-group variation is represented by MST (mean square treatment). MST is calculated by dividing the treatment sum of squares (SSTr) by the degrees of freedom associated with the treatment. It represents the average variation between the group means and provides information about the treatment effect or the differences between groups.

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6th grade math help me pleaseeee

Answers

Answer:

3 CDs

Step-by-step explanation:

If we have $65 and buy a $23 DVD, we will have $42 left.

So how many $14 CDs can we buy with $42?

All we have to do is divide 42 into 14, so we know how many groups of $14 we can make with $42.

42 ÷ 14 = 3

Therefore, Michella can purchase 3 CDs.

A cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm. What is the height of the cone?
A) 95 cm
B) 115 cm
C) 125 cm
D) 135 cm

Answers

Answer:

its d

Step-by-step explanation:

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

D. Air Pockets in Their leaves

Those link sharing ppl are SOOOO annouing

Answer:

They have air-filled pockets in their leaves

Step-by-step explanation:

Arrange the following fraction from least to greatest 2/3, 5/6, 3/5
What did you do to arrange the fraction from least to greatest?

Answers

Answer:

2/3 and 3/5 is same, then 5/6

Step-by-step explanation:

you can convert the fractions to decimals to find their value and then arrange them from least to the greatest.

Answer:

3/5, 2/3, 5/6 [From Least to Greatest]

Step-by-step explanation:

First you're going to want to know which one is "the bigger piece of pie".

I made a few drawing and look at the pictures (Just in case you have a different opinion from my answer)

help!!!! ^^^ due in 20 mins!

Answers

Answer:

I believe its 60cm squared

I’m not sure

Answer:

i think its 60cm

Step-by-step explanation:

cos80°.cos10°-sin80°.sin10°​

Answers

Step-by-step explanation:

The answer will be zero

here are the steps:

cos(90-10)xcos(90-80)-sin(90-10)xsin(90-10)=

(cos10xcos10)-(sin80xsin80)=

0.965111-0.965111=0

have a good day :)

I hope it will benefit you.

Please help me asap thanks

Answers

Answer:

x=3.5

Step-by-step explanation:

To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ.  DF=7 and XZ=3x. So, the ratio is 7:3x.

To  find x, we first find out what 3x is.  In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.

What is the area of the shaded region?
6 units

Answers

Answer:

Step-by-step explanation:

Mohammed is x years old.
Holly is 3 years older than Mohamed.
Karen is twice as old as Mohamed.
The total of their ages is 51.
How old is Mohamed?

Answers

Step-by-step explanation:

Mohammed age = x

Holly age = x + 3

Karen age = 2x

given,

[tex]x + (x + 3) + 2x = 51 \\ x + x + 3 + 2x = 51 \\ 4x + 3 = 51 \\ 4x = 51 - 3 \\ 4x = 48 \\ x = 48 \div 4 \\ = 12[/tex]

From the equation, find the axis of symmetry of the parabola.
y = 2x^2 + 4 x - 1

a. x = 3
b. x = -1
c. x = -3
d. x = 1

PLEASE HURRY!!! WILL MARK AS BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

Ur welcome

Two cheeseburgers and one small order of fries contain a total of 1400 calories. Three cheeseburgers and two small orders of fries contain a total of 2260 calories. Find the caloric content of each item.

Answers

Let the calories of a cheeseburger be C, and the calories of a small order of fries be F. Using this notation: Two cheeseburgers and one small order of fries contain a total of 1400 calories. Calories in 2 cheeseburgers + Calories in 1 small order of fries = 14002C + F = 1400. Three cheeseburgers and two small orders of fries contain a total of 2260 calories. Calories in 3 cheeseburgers + Calories in 2 small orders of fries = 22603C + 2F = 2260. We can solve for C and F by solving these two equations for C and F using the method of elimination.

Let's double the first equation and subtract the second equation: 4C + 2F = 2800  -(3C + 2F = 2260). 1C = 540  C = 540. Calories in a cheeseburger = C = 540. Substituting this value of C into either of the two equations and solving for F gives us:2C + F = 14002(540) + F = 1400. F = 320. Calories in a small order of fries = F = 320. Therefore, two cheeseburgers contain 2C = 2(540) = 1080 calories, and one small order of fries contains F = 320 calories. Three cheeseburgers contain 3C = 3(540) = 1620 calories, and two small orders of fries contain 2F = 2(320) = 640 calories.

Answer: Calories in a cheeseburger = C = 540Calories in a small order of fries = F = 320. Calories in two cheeseburgers = 2C = 2(540) = 1080. Calories in three cheeseburgers = 3C = 3(540) = 1620. Calories in one small order of fries = F = 320Calories in two small orders of fries = 2F = 2(320) = 640.

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8.

Find the area of the shaded region.


A. 5x2 – 11x + 16

B. 5x2 + 7x – 26

C. 5x2 + 11x – 12

D. 5x2 + 7x – 20

Answers

Area of the shaded region = area of big square minus area of little square.

Here is the set up:

Let A_s = area of shaded region.

A_s = (2x + 2)(3x - 4) - [(x - 3)(x - 6)]

Take it from here.

Answer:

B. 5x2 + 7x – 26

Step-by-step explanation:  keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.

.................................................................................................................................

Answer:

Area = 5x^2 +7x -26

Step-by-step explanation:

The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.

In other words:

A_small = (x-3)(x-6) = x^2-9x +18

A_big = (2x+2)(3x-4) = 6x^2 -2x -8

A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)

= 6x^2 -2x -8 - x^2 + 9x -18

= 5x^2 +7x -26

6=2(y+2) i need help

Answers

Answer:

y=1

Step-by-step explanation:

6=2(y+2)

6=2y+4

2=2y

y=1

Answer:

y=1

Step-by-step explanation:

can someone help??!???!?!

Answers

Answer:

download discord

Answer:

im confused-

Step-by-step explanation:

sketch the strophoid shown below. r = sec() − 2 cos(), − 2 < < 2

Answers

The strophoid is a curve represented by the polar equation r = sec(θ) − 2cos(θ), where -2 < θ < 2. In Cartesian coordinates, the strophoid equation can be written as (x^2 + y^2)^2 = 4y^2(x + 2).

The strophoid has a unique shape characterized by its looped structure.

The strophoid is symmetric with respect to the y-axis, as changing θ to -θ gives the same value of r. It has two branches that intersect at the origin (0, 0). As θ increases from -2 to 2, the curve starts from the rightmost point of the loop, extends to the left, and then returns back to the rightmost point.

The loop of the strophoid is created by the interplay of the secant function, which stretches the curve away from the origin, and the cosine function, which pulls it towards the origin. The strophoid exhibits interesting geometric properties and is often used in mathematical modeling and visualization.

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The math club is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T-
shirts
If P() is the profit that the math club makes for selling T-shirts, a reasonable domain of this function is
<

Answers

Answer:

2 < or equal to (t) < or equal to 1000

Step-by-step explanation:

2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000

The domain of this function will be given by the set A[1, 500].

What is the end behaviour of a function? What do you mean by domain and range of a function?

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the math club which is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T- shirts.

The function representing the profit by selling [x] T - shirts can be written as -

P(x) = 2x

or

y = 2x

Maximum value of y = 2x 500 = $1000

The domain of this function will be given by the set A[1, 500].

Hence, the domain of this function will be given by the set A[1, 500].

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Tell whether $x$ and $y$ are proportional. $x$ 0.25 0.5 0.75 $y$ 4 8 12

Answers

Answer:

x and y are proportional. Two quantities are proportional if there is a constant ratio between them. In this case, the ratio between y and x is always 16:

4/0.25=16

8/0.5=16

12/0.75=16

Since the ratio between y and x is always the same, x and y are proportional.

Step-by-step explanation:

et k be a real number and A=[1 k 9 1 2 3 2 5 7]. Then determinant of A is ?

Answers

The determinant of A is -23 - k.

In case, we have a 3x3 submatrix starting at element (1,1) and ending at element (3,3). Therefore, we can calculate the determinant using cofactor expansion method:

| 1 k 9 |

| 1 2 3 |

| 2 5 7 |

= 1| 2  3 | - k| 1  3 | + 9| 1  2 |

| 5  7 | | 5  7 | | 5  7 |

= 1(2(7) - 3(5)) - k(1(7) - 3(2)) + 9(1(7) - 2(5))

= 1(4) - k(1) + 9(-3)

= -23 - k

Therefore, the determinant of A is -23 - k.

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Since the arithmetic mean of the above data is 20, what is the span?
A) 45. B) 40. C) 35. D) 30​

Answers

Answer:

Step-by-step explanation:

The scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation of 6. What is the standard score for an exam score of 74?

Answers

Answer:

z = 1.5

Step-by-step explanation:

                               x - mean

standard score = -----------------

                                     6

Substituting 74 for x, 65 for mean, we get:

                               74 - 65

standard score = ----------------- = 9/6 = 1.5

                                     6

The pertinent z-score (standard score) is 1.5.

Answer:

Solution :-

Score = 74 - 65/6

Score = 9/6

Hence

Score is 9/6 or 1.5

[tex] \\ [/tex]

Find the general solution of the following:

dy/dt + 4/ty = e^t/t^3

Answers

The general solution of the differential equation dy/dt + 4/ty = e raised to power of t/t raised to power of 3:

y = C * e raised to power of t * t raised to power of 4

where C is an arbitrary constant.

To find this solution, we can use the following steps:

First, we can factor out e raised to power of t/t raised to power 3 from the right-hand side of the equation. This gives us:

dy/dt + 4/ty = e raised to power t/t raised to power of 3 * (1/t)

Next, we can multiply both sides of the equation by ty to get:

dy + 4 = e raised to power of t/t raised to power of 2

Now, we can integrate both sides of the equation. This gives us:

y + 4t = C * e raised to power of t

Finally, we can solve for y to get the general solution:

y = C * e raised to power of t * t raised to power of 4

where C is an arbitrary constant.

The first step of the solution is to factor out e raised to power t/t raised to power of 3 from the right-hand side of the equation. This is possible because the derivative of e raised to power of t/t raised to power of 3 is e raised to power of t/t raised to power of 3 * (1/t).

The second step of the solution is to multiply both sides of the equation by ty to get dy + 4 = e raised to power of t/t raised to power of 2. This is possible because the derivative of ty is t + y.

The third step of the solution is to integrate both sides of the equation. This gives us y + 4t = C * e raised to power of t. This is possible because the integral of dy is y and the integral of e raised to power t/t raised to power of 2 is -2e raised to power of t/t + C.

The fourth step of the solution is to solve for y to get the general solution y = C * e raised to power t * t raised to power of 4. This is possible by dividing both sides of the equation by C * e raised to power of t.

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The graph shown is a scatter plot:

A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)

Group of answer choices

Point D

Point B

Point C

Point A

Answers

you’re answer is b.
i did this already

Answer:

D

Step-by-step explanation:

if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!

6th grade math plz help

Answers

A is the answer I believe
Other Questions
The following information is available for Splish Corporation for 2020. 1. Depreciation reported on the tax return exceeded depreciation reported on the income statement by $128,000. This difference will reverse in equal amounts of $32,000 over the years 2021-2024. 2. Interest received on municipal bonds was $10,600. 3. Rent collected in advance on January 1, 2020, totaled $62,400 for a 3-year period. Of this amount, $41,600 was reported as unearned at December 31, 2020, for book purposes. 4. The tax rates are 40% for 2020 and 35% for 2021 and subsequent years. 5. Income taxes of $342,000 are due per the tax return for 2020. 6. No deferred taxes existed at the beginning of 2020. (a) x Your answer is incorrect. Compute taxable income for 2020. Taxable income for 2020 $ 136800 In the idea of popular sovereignty, the government is tasked with serving...a. The majority of the peopleb. The ruling elitec. Foreign interestsd. Religious institutions Lawlor, Inc. is the manufacturer of lawn care equipment. The company incurs the following costs while manufacturing weed trimmers: Shaft and handle of weed trimmer Motor of weed trimmer Factory labor for workers assembling weed trimmers Nylon thread used by the weed trimmer (not traced to the product) Glue to hold the housing together Plant janitorial wages Depreciation on factory equipment Rent on plant Sales commissions Administrative salaries Plant utilities Shipping costs to deliver finished weed trimmers to customersRequirements1. Describe the difference between period costs and product costs.2. Classify Lawlors costs as period costs or product costs. If the costs are product costs, further classify them as direct materials, direct labor, or manufacturing overhead. Data on the number of part-time hours students at a public university worked in a week were collected Which of the following is the best chart for presenting the information? 3) A) A percentage Polygon B) A pie chart C) A percentage table D) A Pareto chart The four most important accounting conventions are materiality,full disclosure, prudence and consistency. What are the limitationsof each of materiality, full disclosure, prudence andconsistency? If the economy has a cyclically adjusted budget surplus, this means that:A. the public sector is exerting an expansionary impact on the economy.B. tax revenues would exceed government expenditures if full employment were achieved.C. the actual budget is necessarily also in surplus.D. the economy is actually operating at full employment. Write a C++ program (or Java program) called hw1_1.cpp (or hw1_1.java) that reads input numbers from a user and displays the number that occurs most frequently among all the input numbers.Input format: This is a sample input from a user.57-720715The first number (= 5 in the example) indicates that there will be five integer numbers in the input. Then, all numbers from the second line (= 7 in the example) to the last line (15 in the example) are actual numbers. Thus, your program should read them and display the most frequent number among 7, -7, 20, 7, and 15. Because the number 7 appears twice in the input, your answer should be 7. If you have more than one number that occurs most often, you have to display the largest number.Sample Run 0: Assume that the user typed the following lines.57-720715This is the correct output of your program.Number:7Frequency:2Sample Run 1: Assume that the user typed the following lines.10-120-1557220520530This is the correct output of your program. Note that the frequencies of 5 and 20 are 3. But since 20 is bigger than 5, the correct number should be 20.Number:20Frequency:3Sample Run 2: Assume that the user typed the following lines.221This is the correct output of your program.Number:2Frequency:1 An Airbus A320 airplane has a length of 123 feet, a wingspan of 117 feet, and a height of 39 feet. (Note that you should not convert units for any part of this problem.) a) If a model of the plane is built to have a scale ratio of 1:40! determine the height. Round your answer to 2 decimal places and include units. b) If a model of the plane is built to have a scale ratio of 1 cm: 5ft, determine the length. Round your answer to 2 decimal places and include units. c) If a model of the plane is built to have a ratio of 3in : 10ft, determine the wingspan. Round your answer to 2 decimal places and include units. "the said states herebyenter into a firm league of friendship with each other, for their common defense, the security of their liberties, and their mutual and general welfare." enforced? Dragon Corporation reported the following: Net Sales $296,000 Cost of Goods Sold $138,000 Average Inventory $50,000 What is Dragon's inventory turnover? In lines 12-13 ("Misfit ... system"), sentencefragments and a stanza break are used toA)provide an ironiccounterpoint to those lines'discussion of the speaker'sfaultsBsuggest the growingdiscomfort the speaker feelstoward the belovedCemphasize the casual easewith which the belovedsolves emotional problemsDreinforce those lines descriptions of the beloved relationship to space and timeEmirror the glasses and bases broken by the beloved in the first stanza what is the factor of 72 that is the largest perfect square Find the area of the kite with measurements of 6cm 1cm 11cm Find the general solution of y(4) + 2y" + 6y" + 324 + 40y = 0 Calculate log4 57 to the nearest thousandth.A. 2.916B. 3.505C. 3.682D. 3.869 Luis, a Colombian investor, buys a home in Cancun. The cost of the home is $1M. Mexico has a flexible exchange rate, and Colombia has a flexible exchange rate. (a) The money supply stays the same in Colombia and stays the same in Mexico (b) The money supply goes down in Colombia and goes up in Mexico (c) None of the above The Central Bank of Colombia wants the peso to appreciate. The mechanism is foreign exchange reserves (dollars). Should they sell dollars and buy pesos? Or should they buy dollars and print pesos? Choose the correct statement: (i) Countries with free capital mobility and flexible exchange rates cannot www use monetary policy to stabilize their economies. (ii) Countries with free capital mobility that use monetary policy to stabilize wwwwwwww their economies cannot have a flexible Exchange rate. (iii) Both answers are not true. what action by the psychiatric mental health nurse best demonstrates the behaviorist theories of b. f. skinner? Solve the initial value problem below using the method of Laplace transforms. y" +7y' + 6y = 36 e 31, y(0) = -6, y'(0) = 20 If vertical analysis, using total assets as the base, shows that total abilities have increased from 50% to 63% this would always mean that A. Habilities have increased as a percentage of total assets OB. the current ratio has decreased Cthe dollar amount of owners' equity has decreased D. the dollar amount of liabilities has increased 1)What is the binomial model? You are required to name the component parts and explain the model.2) What is the Black-Scholes-Merton model? You are required to name the component parts and explain the model.