find the volume of the 2 dice if the length of the base of the cube is 4cm

A) 64cm cubed
B) 96cm cubed
C) 108cm cubed
D) 128cm cubed​

Find The Volume Of The 2 Dice If The Length Of The Base Of The Cube Is 4cmA) 64cm Cubed B) 96cm CubedC)

Answers

Answer 1

Answer:

I think the answer is A 64cm cubed


Related Questions

Find the volume of a cone with a base radius of 5 in. and a height of 12 in.

Answers

Answer:

V = 314

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 5

h = 12

Work:

V = πr²(h/3)

V = 3.14(5²)(12/3)

V = 3.14(25)(4)

V = 314

Answer:

The volume of the cone is 311.1in³.

Step-by-step explanation:

V = ⅓Bh where B = πr²

V = ⅓πr²h

V = ⅓(22/7)(5²)12

V = 0.33(3.142)(25)12

V = 311.1in³

what is the:
axis of symmetry?
vertex?
Domain?
range?
x-intercepts?
y-intercept?
maximum or minimum?




Answers

Answer:

axis of symm:  x = -1

vertex:  (-1, -4)

domain:  all real numbers

range:  y ≥ -4

x-intercepts:  1, 3

y-intercept:  -3

minimum at (-1, -4)

Step-by-step explanation:

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. ​Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?

Answers

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

You roll a single 6 sided die. What are the odds of rolling a 4?

A. 1/4
B. 4
C. 4/6
D. 1/6

Answers

D. 1/6, since there is 6 sides on the dice and there is only 1 side with a 4 on it, your chances to roll a 4 would be 1 out of the 6 sides

3 (x + 1 ) = 33 solve for x

Answers

Answer:

x=10

Step-by-step explanation:

x+1=11

Answer:

X-10

Step-by-step explanation:

3(x+1)=33

3x+3=33

3x+3-3=33-3

3x=30

x=10

Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. } = 6 + 4x a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. A. The Y-intercept, bo = 4, implies that when the value of X is the mean value of Y is 4. B. The Y-intercept, bo = 6, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 6 units C. The Y-intercept, bo = 6, implies that the average value of Y is 6. OD. The Y-intercept, bo = 6, implies that when the value of X is 0, the mean value of Y is 6. b. Interpret the meaning of the slope, by. Choose the correct answer below. A. The slope, by = 4, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units. B. The slope, b4 = 4, implies that the average value of Y is 4. OC. The slope, by = 6, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 6 units. D. The slope, by = 4, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 4 units. c. Predict the mean value of Y for X = 4. ; = (Simplify your answer.)

Answers

(a) The Y-intercept, bo = 6, implies that when the value of X is 0, the mean value of Y is 6.

(b) The slope, by = 4, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units.

(c) The mean value of Y for X = 4 is predicted to be 22.

The Y-intercept, bo, represents the starting point of the prediction line. In this case, when X is 0, the mean value of Y is expected to be 6. This implies that before any increase or decrease in X, the average value of Y starts at 6.

The slope, by = 4, indicates the rate at which Y is expected to change for each unit increase in X. Therefore, for every 1 unit increase in X, the value of Y is expected to increase by 4 units. This implies a linear relationship between X and Y, where the increase or decrease in X directly influences the corresponding change in Y.

To predict the mean value of Y for X = 4, we can use the prediction line equation: Y = 6 + 4x. Substituting X = 4 into the equation, we get: Y = 6 + 4(4) = 6 + 16 = 22. Therefore, the mean value of Y for X = 4 is predicted to be 22.

Learn more about intercept

brainly.com/question/14886566

#SPJ11

isabella bought packs of stickers to give to her friends. each pack costs $3. she spent a total of $18 on stickers. how many packs did she buy? write an equation to represent this situation.

Answers

To represent this situation, we can use the following equation:x = the number of packs of stickers Isabella bought x packs of stickers, and each pack costs $3.

So the total cost of the stickers is given by the following equation:3x = total cost of stickers Since she spent a total of $18 on stickers, we can set the equation equal to 18 to get:3x = 183x/3 = 18/3x = 6Therefore, Isabella bought 6 packs of stickers to give to her friends.

To solve this problem, let's assume that Isabella bought "x" packs of stickers.

According to the given information, each pack costs $3. So, the total amount Isabella spent on stickers is $18.

We can represent this situation with the following equation:

3x = 18

Here, "3x" represents the cost of "x" packs of stickers, and it is equal to $18.

To find the number of packs Isabella bought, we can solve the equation for "x".

Dividing both sides of the equation by 3, we get:

x = 18 / 3

x = 6

Therefore, Isabella bought 6 packs of stickers.

To know more about equation ,Visit:

https://brainly.com/question/29174899

#SPJ11

The given information is that Isabella bought packs of stickers, each pack costs $3. She spent a total of $18 on stickers. It is asked to find number of packs did she buy.

Therefore, the answer for this question is that Isabella bought 6 packs of stickers.

Let the number of packs that Isabella bought be p. Each pack costs $3, so she spent a total of $18 on stickers. Using these terms, we can set up the equation:3p = 18To solve for p, we divide both sides of the equation by 3:p = 6. Therefore, the answer for this question is that Isabella bought 6 packs of stickers.

To know more about equation visit

https://brainly.com/question/29538993

#SPJ11

HELP UHM, true or false question, look at the image, dont guess and no links + brainiest + extra points

Answers

Answer:

false

it can have more

Answer:

Yes

What solid shape do the two nets make?

1. Rectangular Prism

2. Triangular Prism

Brainlist Pls!

What is the value of x?

Answers

Answer:

C

24Step-by-step explanation:

Trust me on this one.

identify the intercepts of the relationship graphed below

Answers

Answer:

y=9

x= -2, 4

Step-by-step explanation:

f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

Answer:

a) x-intercepts at -6 and 2

b) y-intercept at -12

c) minimum at (-2, -16)

Step-by-step explanation:

help if link will report

Answers

Answer:

B

Step-by-step explanation:

Just put B

Let A be a 3 x 3 matrix. Suppose that the eigenvalues of A are 1 = -1 and 12 = 3. Let V1, V2, V3 be defined below: N V1 V2 = V3 = - 1 3 Further, suppose that: A basis for the eigenspace of A corresponding to 11 = -1 is Bi = {v1}. A basis for the eigenspace of A corresponding to 12 = 3 is B2 = {V2, V3} (a) (2 points). Find the product: Av2. O 0 2 [B (b) (7 points). Find the product: A(3v1 - v3). Show all work. А 3 vi , 13 0 V22 u 3 3 3 O 4 3 (-1)(-4) o 1(-4) -1(3) O 0 O 1 H: 888 HJE] 3] ] 10 PAR88] (c) (3 points). Identify two eigenvectors of A corresponding to li = -1. U al -10 6 1 (d) (8 points). Is A diagonalizable? Answer "Yes" or "No". If you answered "Yes", diagonalize A: that is, find matrices P and D such that P-1AP = D. If you answered "No", explain why. Yes

Answers

Given a 3x3 matrix A with eigenvalues -1 and 3, and corresponding eigenvectors V1 = [-1, 3, -1] and V2 = [0, 2, 3], we can determine various products and properties of the matrix A.

(a) To find the product Av2, we simply multiply the matrix A by the vector V2. The resulting product is [0, 2, 10].

(b) To find the product A(3v1 - v3), we first calculate 3v1 - v3, which is equal to [-4, -10, 6]. Then, we multiply the matrix A by this vector to obtain the product [-4, -10, 10].

(c) Two eigenvectors corresponding to the eigenvalue -1 can be identified as V1 = [-1, 3, -1] and any scalar multiple of V1, such as [2, -6, 2].

(d) To determine if A is diagonalizable, we check if it has three linearly independent eigenvectors. In this case, A has two distinct eigenvalues (-1 and 3), and we are given that the eigenspace corresponding to each eigenvalue has a basis with two vectors in total. Since the sum of the dimensions of the eigenspaces is equal to the dimension of A (3), A is diagonalizable.

To diagonalize A, we construct a matrix P with the eigenvectors as its columns. We have P = [V1, V2, V3] = [-1, 0, 2; 3, 2, -6; -1, 3, 2]. Then, we calculate P-1 and find D, the diagonal matrix of eigenvalues: D = diag(-1, 3). Finally, we obtain the diagonalized form P-1AP = D, where P-1 is the inverse of matrix P.

Learn more about eigenvalue here:

https://brainly.com/question/32575123

#SPJ11

what is the value of 8 3/5 + (-4 2/5) - 11 1/5​

Answers

Answer:

Its right infront of you.....

1/5

Step-by-step explanation:

help ASAP ill mark brainliest, you dont need to explain the answer

Answers

Answer:

The first option.

Step-by-step explanation:

Add all the numbers together and voila you get 27

1. (i) On a sheet of graph paper, using a scale of
1 cm to represent 1 unit on the x-axis and
1 cm to represent 1 unit on the y-axis, draw
the graph of each of the following functions
for values of x from 0 to 4.
(a) y=2x+8
(b) y=2x+2
(c) y=2x-3
(d) y=2x-6
(ii) What do you notice about the lines you have
drawn in part (i)?

Answers

i)

The graph is attached  as an image.

ii.)  We notice that all the lines have the same slope of 2 which shows a consistent rate of change

What is a graph?

A graph is described as as the pictorial representation of that represents any given data in a chronological manner that is ascending to descending type.

1. y =2x+8

x = 1

Y = 2(1)+8

Y= 2+8

Y = 10

2. y =2x + 2

x=2

Y= 2(2) +2

=4+2

Y=6

3. y= 2x – 3

x = 3

Y = 2(3) -3

Y= 6-3

Y=3

4. y = 2x -6

x=4

Y = 2(4) -6

Y= 8-6

Y=2

Learn more about graphs at:

https://brainly.com/question/19040584

#SPJ1

Can anyone help with this question geometry

Answers

Answer:

The answer would have to be shown in your working out, so look down below for an explanation.

Step-by-step explanation:

You would make each equation with the same letter equal to each other

5x- 10= 7x-20

3y= 5y-16

Then you would solve the equations

5x-10 = 7x-20

+20        +20

5x +10= 7x

-5x        -5x

10= 2x

x= 5

-

3y = 5y-16

+16      +16

3y+16=5y

-3y       -3y

16 = 2y

y = 8

And there's  how you would prove that x=5 and y=8

If a set of observations is normally distributed, what percent of these differ from the mean by (a) more than 2.50? (b) less than 0.56o?

Answers

The approximately 59.90 percent of the observations differ from the mean by less than 0.56o.

The standard deviation is a measure of the amount of variation or dispersion in a set of observations.

For a normal distribution, it is straightforward to determine the proportion of values that are more than a certain number of standard deviations above or below the mean.

Here's how to determine the percentage of observations that differ from the mean by more than 2.50 or less than 0.56o in a normally distributed set of observations.

Solution:

(a)  The percentage of observations that differ from the mean by more than 2.50 is given by the formula below:P(Z > 2.50) + P(Z < -2.50) = 0.00621 + 0.00621 = 0.0124

To obtain the proportion in percentage, multiply by 100: 0.0124 * 100 = 1.24%.

Therefore, about 1.24 percent of the observations differ from the mean by more than 2.50.

(b) The proportion of observations that differ from the mean by less than 0.56o is given by:

P(-0.56/σ < Z < 0.56/σ) = P(Z < 0.84) − P(Z < -0.84) = 0.7995 - 0.2005 = 0.5990

To obtain the proportion in percentage, multiply by 100: 0.5990 * 100 = 59.90%.

To know more about standard deviation :

https://brainly.com/question/29115611

#SPJ11

If a set of observations is normally distributed.

Therefore, about 0.62% of the observations differ from the mean by more than 2.50.

About 29.24% of the observations differ from the mean by less than 0.56.

Solution: (a) If a set of observations is normally distributed, then the percentage of observations that differ from the mean by more than 2.50 is given by:

This is calculated using the z-score formula: where x is the observation value, μ is the mean of the distribution, and σ is the standard deviation of the distribution. When we substitute the values of the given parameters, we get: Therefore, about 0.62% of the observations differ from the mean by more than 2.50.

(b) Similarly, the percentage of observations that differ from the mean by less than 0.56 is given by: This is calculated using the z-score formula: When we substitute the values of the given parameters, we get: Therefore, about 29.24% of the observations differ from the mean by less than 0.56.

To know more about percentage visit

https://brainly.com/question/2724587

#SPJ11

One day 20% of the children were away from school on a visit to the museum. If there were369 children altogether, —————— children were in school and —————were on museum trip

Answers

Answer: See explanation

Step-by-step explanation:

Total number of children = 369

Percentage of children on museum trip = 20%

Number of children on museum trip = 20/100 × 369

= 1/5 × 369

= 73.8 = 74 approximately

Number of children in school = 369 - 73.8 = 295.2 = 295 approximately

use the elimination method to solve for the general solution to the system
x'= x-y
y''= -2x'+e^t

Answers

The general solution to the given system of differential equations is:

x(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)

y(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)

where c1, c2, and c3 are constants determined by initial conditions or specific constraints.

To solve the system using the elimination method, we need to eliminate one variable at a time. Let's start by eliminating x.

x' = x - y ...........(1)

y'' = -2x' + e^t ...........(2)

First, differentiate equation (1) with respect to t to get:

x'' = x' - y' ...........(3)

Now substitute the value of x' from equation (3) into equation (2):

y'' = -2(x' - y) + e^t

y'' = -2x' + 2y + e^t ...........(4)

To eliminate x', we subtract equation (4) from equation (2):

y'' - y' = e^t ...........(5)

Next, differentiate equation (5) with respect to t:

y''' - y'' = e^t ...........(6)

Now we have two equations:

y'' - y' = e^t ...........(5)

y''' - y'' = e^t ...........(6)

To solve these equations, we can solve equation (6) for y'' and substitute it into equation (5):

(y''' - e^t) - (y'' - y') = e^t

y''' - y'' + y' - e^t = e^t

y''' - y'' + y' = 2e^t ...........(7)

Equation (7) is a third-order linear homogeneous differential equation for y.

To find the general solution to equation (7), we solve its characteristic equation:

r^3 - r^2 + r = 0

Factoring out an r, we get:

r(r^2 - r + 1) = 0

This equation has one real root r = 0 and two complex roots r = (1 ± √3i)/2.

Therefore, the general solution for y is:

y(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)

Now, we can substitute the general solution for y into equation (5) to solve for x:

y'' - y' = e^t

(c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2))' - (c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)) = e^t

Differentiating and simplifying, we get:

(-c2e^t(√3/2)sin((√3t)/2) + c3e^t(√3/2)cos((√3t)/2)) - (c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)) = e^t

Simplifying further, we get:

(-c2e^t(√3/2)sin((√3t)/2) + c3e^t(√3/2)cos((√3t)/2)) - c2e^tcos((√3t)/2) - c3e^tsin((√3t)/2) = e^t

Now, equating the coefficients of e^t and the trigonometric terms, we can solve for c1, c2, and c3.

This completes the solution process using the elimination method for the given system of differential equations.

To learn more about differential equations visit : https://brainly.com/question/1164377

#SPJ11

describe the sample space in terms of the condition (functional or defective) of each nozzle after a year. let ""f"" denote a functional nozzle after a year and ""d"" denote a defective one.

Answers

The sample space, in terms of the condition (functional or defective) of each nozzle after a year, can be represented using the symbols "f" and "d" to denote a functional and defective nozzle, respectively.

The possible outcomes in the sample space can be described as a combination of these symbols. For example, if we have three nozzles, the sample space could include outcomes such as "fff" (all three nozzles are functional), "dfd" (the first and third nozzles are functional, while the second one is defective), "ffd" (the first two nozzles are functional, while the third one is defective), and so on.

Each outcome in the sample space corresponds to a particular arrangement or configuration of functional and defective nozzles after a year. The sample space encompasses all the possible combinations and provides a comprehensive representation of the different outcomes that can occur.

To learn more about sample space, click here: brainly.com/question/30464166

#SPJ11

A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?
O 2 cm
O 4 cm
O 6 cm
O 8 cm​

Answers

Answer:

2

Step-by-step explanation:

because if 10 is the whole line of the base at the bottom of the trapezoid

and 8 is the whole top 10-8=2

pls help it due soon

Answers

Answers:

Level 1 Q:

[tex]5x+4x=90\\9x=90\\x=10[/tex]

Level 2 Q:

[tex]48+2x=90\\2x=42\\x=21[/tex]

Level 3 Q:

[tex]25+(x-18)=90\\x=83[/tex]







Question * The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is: 4 2. This option This option 3. 5 This option This option

Answers

The degree of precision of a quadrature formula whose error term is h4/120 f(5)) is 4. Option a is the correct answer.

The degree of precision of a quadrature formula measures how many terms of the Taylor series can be reproduced by the formula. It is also known as the order of the formula or the number of nodes used in the quadrature.

The degree of precision of a quadrature formula that produces a zero error on all polynomials of degree less than or equal to n is n.

Therefore, the degree of precision for this quadrature formula is 4, indicating its accuracy in approximating integrals involving functions up to the fourth degree. The correct option is a.

To know more about quadrature formula refer here:

https://brainly.com/question/32699023

#SPJ11

Complete question

The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is:

Option a - 4

Option b - 2

Option c-  3

Option d- 5

1)
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A) 6 people
B) 7 people
C)8 people
D) 9 people

PLEASEE HELP

ILL GIVE BRAINLIEST

Answers

Answer:

d. 9

Step-by-step explanation:

i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer

A bag of marbles contains 4 green, 3 blue, 2 red, and 5 yellow marbles. How many total possible outcomes are when choosing a marble from the bag?

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4+3+2+5=14

IF YOU TELL ME HOW YOU GOT THE ANSWER FIRST YOU WILL GET A CROWN

Answers

Answer:

C

Step-by-step explanation:

basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1  so it would 1, 25 u just do that for all the dots :)

The one at the bottom

Answers

Answer: Decrease it’s a negative

Step-by-step explanation:

Sam and her brother Nate are collecting stamps together. Nate has collected 5 more than twice the number of stamps Sam has collected. In total they have 26 stamps. Let n be the number of stamps that Sam has collected. Which of the following equations models this situation?
1. 2n+5=26
2. n+2n+5=26
3. 2n+5-n=26
4. n+2(n+5)= 26

Answers

Answer:

2. n(2n+5)=26.

Step-by-step explanation:

If Sam has n stamps, and Nate has 5 more than twice that amount, the equation would be: 2. n(2n+5)=26.

I need help with this

Answers

Answer:

4/5 to 80%

7/20 to 35%

9/4 to 225%

25/1000 to 2.5%

Step-by-step explanation:

Other Questions
briefly summarize the transformation in listening practices that occurred over the nineteenth century, as well as bashfords explanation of the problems of writing about the history of listening. In the context of behavioral dimensions of leadership identified in the Ohio State Studies, ________ is the extent to which a person's job relationships are characterized by mutual trust, respect for employees' ideas, and regard for their feelings.production orientationconsiderationposition powertask orientationinitiating structure mark rodriguez makes puppets which he sells at swap meets for $11 each. each puppet requires $6 of materials to make. mark must pay $100 at each swap meet to rent a table. he has no other expenses related to the puppet sales. how many puppets must mark sell at each swap meet in order to cover his costs (break even)? Given the following supply and demand curves, what is the dollar value of the dead weight loss caused by a $10/unit subsidy? Qd = 500 -(21p/46) , Qs = -50+ (19P/2) Consider the sequence an (on - 1)! (6n+1)! Describe the behavior of the sequence. Is the sequence monotone? Select Is the sequence bounded? Select Determine whether the sequence converges or diverges. If it converges, find the value it converges to. If it diverges, enter DIV. . Briefly explain the point of view about the Gilded Age expressed by the writer."Is it wicked to be rich?... We all agree that he is a good member of society wo works his way up from poverty to wealth, but as soon as he has worked his way up, we begin to regard him with suspicion, as a dangerous member of society. A newspaper starts the silly fallacy that 'the rich are rich because the poor are industrious,' and it is copied from one to the other as if it were a brilliant apothegm. 'Capital' is denounced by writers and speakers who have never been taken the trouble to find out what capital is, and who use the word in two or three different senses in as many pages...All the denunciations and declamations (of the wealthy and powerful) which have been referred to are made in the interest of 'the poor man.' His name never ceases to echo in the halls of legislation, and he is the excuse and reason for all the acts which are passed. He is never forgotten in poetry, sermon, or essay. His interest is invoked to defend every doubtful procedure and every questionable institution. Yet where is he? Who is he? Who ever saw him? When did he ever get the benefit of any of the numberless efforts in his behalf? When, rather, was his name and interest erev invoked, when, upon examination, it did not plainly appear that somebody else was to win- somebody who was far too 'smart' ever to be poor. far too lazy ever to be rich by industry and economy?" -William Graham Sumner, from What the Social Classes Owe to Each Other, 1883 True or False, and why?If the demand curve is denoted by PDX = 100 0.5 Xwhile the MC = 2 +1.5 X monopoly will result in a welfare loss of96.04 compared with a competitive market. a teacher gives pens and pencils to elementary students at an equal rate. pencils pens 18 72 29 a 35 140 b 168 determine the missing value for the letter b. 38 42 63 70 In the following code that uses recursion to find the factorial of a number, what is the base case?private static int factorial(int n){if (n == 0)return 1;elsereturn n * factorial(n - 1);}A. if (n == 0)return 1;B. elsereturn n * factorial(n-1);C. factorial(int n)D. Cannot tell from this code You have the best chance of getting your money back fromhappened?You didn't authorize the payment.You called the police..You were using a secure connection.You did authorize the payment. Behavioural finance:The year is 1985. You are a researcher who has just discovered before anyone else the following pattern in the historical data: stocks that performed well over the past 6 months have higher returns on average over the next 6 months than stocks that performed poorly over the past 6 months.a) Describe an investment strategy exploiting this pattern that yields a positive profit on average. . b) In the research paper you are writing to publicise this discovery, what concerns do you need to point out for investors to keep in mind before rushing to exploit this pattern? c) Fast-forward to 2021. Given the knowledge that we now have in 2021, which of the concerns in b) are less of a concern today? Read the excerpts below from The Devils Arithmetic and Refugee. Then, write about a similarity or difference between Jane Yolens and Alan Gratzs perspectives. Explain your answer in a paragraph using details from the texts. the author of a source possesses a particular _______ shaped by his or Consider a branching process whose offspring generating function is (s) = (1/6) + (5/6)s^2. Obtain the probability of ultimate extinction. Enter your answer as an integer of the form m or a fraction of the form m/n. Do not include spaces. Amazon wants to perfect their new drone deliveries. To do this, they collect data and figure out the probability of a package arriving damaged to the consumer's house is 0.23. If your first package arrived undamaged, the probability the second package arrives damaged is 0.13. If your first package arrived damaged, the probability the second package arrives damaged is 0.04. In order to entice customers to use their new drone service, they are offering a $10 Amazon credit if your first package arrives damaged and a $30 Amazon credit if your second package arrives damaged. What is the expected value of your Amazon credit? The three layers that make up the ______ architecture are the backend, the artist,and the scripting layers Imagine that Stella deposits $25,000 in currency (which she had been storing in her closet) into her checking account at the bank. Assume that this institution and others like it have a required reserve ratio of 25%. How much of this deposit can the bank turn around and lend out to borrowers?A. $12,500B. $0C. $18,750D. $25,000E. $6,250 Consider the function f(x) = x^24 / x-2 (a) Fill in the following table of values for f(x):X= 1.9 1.99 1.999 1.9999 2.0001 2.001 2.01 2.1 f(x) = = 3.9 3.99 3.999 3.9999 4.0001 4.001 4.01 4.1 (b) Based on your table of values, what would you expect the limit of f(x) as x approaches 2 to be?lim_x--> 2 x^2/4 / x-2 = ___(c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for x near 2 such that the difference between your conjectured limit and the value of the function is less than 0.01. In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or bottom. What is the window? ____ Select ALL of the choice options that would NOT bind directly to metabotropic taste receptors O Spices (ex. garlic ) O Capsaicin O Glycine O All of the choice options would bind directly to metabotropic taste receptors O L-Glutamate 6. Consider the following data for a particular sample period Portfolio P 35% 1.2 42% Market M 28% 1.0 30% Average return Beta Standard deviation Non-systematic risk 18% Calculate the following performance measures for portfolio P and the market: Sharpe, Jensen, and Treynor. The T -bill rate during the period was 6%. By which measures did portfolio P outperform the market?