Consider a roulette wheel. Roulette wheel has 2 green slots, 18 red slots, and 18 black slots. The wheel is spun and we are interested in the number of spins before the Rth success. : Let success be landing in a green slot. Find the following probabilities. A) identity the distribution with the parameters B) the 8th success occurs on the 17th spin. C) the 13th success occurs between the 31st and the 34th spin. PLEASE SOMEONE HELP <3

Answers

Answer 1

A) The distribution is a negative binomial distribution with parameters r and p.

B) The probability that the 8th success occurs on the 17th spin is approximately 0.8%.

C) The probability that the 13th success occurs between the 31st and 34th spin is approximately 0.6%.

A) The distribution is a negative binomial distribution with parameters r = number of successes (in this case, r = 1 since we are only interested in the first success), and p = probability of success (landing in a green slot).

B) To find the probability that the 8th success occurs on the 17th spin, we use the formula for the negative binomial distribution:

P(X = k) = (k-1)C(r-1) * \(p^r\) * \((1-p)^{(k-r)\)

where X is the number of spins until the Rth success, k is the number of spins, and C(n,r) is the binomial coefficient (n choose r).

In this case, we want to find P(X = 17) when r = 8 and p = 2/38 (since there are 2 green slots out of 38 total slots):

P(X = 17) = (16 C 7) * (2/38)⁸ * (36/38)⁹
          ≈ 0.008 or 0.8%

So the probability that the 8th success occurs on the 17th spin is approximately 0.8%.

C) To find the probability that the 13th success occurs between the 31st and 34th spin, we need to find the probability of getting exactly 12 successes in the first 30 spins, followed by a success on one of the next 4 spins (31st, 32nd, 33rd, or 34th).

P(31 ≤ X ≤ 34) = P(X ≤ 34) - P(X ≤ 30)
               = ∑[k=13 to 34] (k-1 C 12-1) * (2/38)¹² * \((36/38)^{(k-12)\) - ∑[k=1 to 30] (k-1 C 12-1) * (2/38)¹² * \((36/38)^{(k-12)\)
               ≈ 0.006 or 0.6%

So the probability that the 13th success occurs between the 31st and 34th spin is approximately 0.6%.

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Related Questions

What is the difference between reciprocal, opposite, and inverse in math?

Answers

Answer:

The difference between “inverse” and “reciprocal” is just that. ... “Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.Step-by-step explanation:

Answer: Reciprocal- when you flip the denominator and the numerator in a fraction

Step-by-step explanation:

which of the following is not an indication of potential multicollinearity problems? a. the sign on the standard error of the estimate is positive. b. a sign on a regression slope coefficient is negative when the sign on the correlation coefficient was positive. c. the standard error of the estimate increases when a variable enters the model in the presence of other independent variables. d. an independent variable goes from being statistically significant to being insignificant when a new variable is added to the model.

Answers

The statement that is not an indication of potential multicollinearity problems is  "A sign on a regression slope coefficient is negative when the sign on the correlation coefficient was positive"

The multicollinearity is defined as the theory that several independent variables in the given model is correlated. The variables that does not affected by any other variable is called independent variable

But here the independent variables will be correlated. in option b  when the sign on the correlation coefficient was positive a sign on a regression slope coefficient is negative. So the independent variables in the given statements are not correlated

In other options the independent variables are correlated

Therefore, the statement that does not shows an of potential multicollinearity problems is option B

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Find the slope from Point A to Point B.

Find the slope from Point A to Point B.

Answers

Camilla poured 7/12 of a gallon of water into a bucket. Later, she added 1/4 of a gallon more. How much water is in the bucket now? Write your answer as a fraction or as a whole or mixed number.

Answers

Answer: 10/12 0r 5/6

Step-by-step explanation:

Hey guys can anyone help??

Answers

what’s the question?

Answer:

what do you need help with ?

A worksheet has an area of 80 inches and a perimeter of 36 inches. What are the detentions of this worksheet?

Answers

A worksheet has an area of 80 inches and a perimeter of 36 inches.  8 inches by 10 inches or 10 inches by 8 inches are the detentions of this worksheet.

To determine the dimensions of the worksheet, we can set up a system of equations based on the given information.

Let's assume the length of the worksheet is L inches and the width is W inches.

The area of a rectangle is given by the formula

A = L × W

The perimeter is given by the formula

P = 2L + 2W.

The area is 80 inches, we have the equation

L × W = 80.

Similarly, since the perimeter is 36 inches, we have the equation

2L + 2W = 36.

To solve this system of equations, we can rearrange the second equation to get L = 18 - W, and substitute it into the first equation:

(18 - W) × W = 80

Expanding the equation and rearranging, we get:

W² - 18W + 80 = 0

Factoring the quadratic equation, we find that

(W - 8)(W - 10) = 0

W = 8 or W = 10.

If we substitute these values of W back into the equation

L = 18 - W

L = 10 or L = 8

Therefore, the possible dimensions of the worksheet are 8 inches by 10 inches or 10 inches by 8 inches.

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9x-1=41-5x ,find EF sos please

Answers

The given equation is rearranged to obtain 9x - 1 - (41 - 5x) = 0. By simplifying and solving the equation, we get x = 3.

To solve this equation, we first simplify it by subtracting what is to the right of the equal sign from both sides of the equation. This gives us 9x - 1 - 41 + 5x = 0, which simplifies to 14x - 42 = 0. We then pull out the like factor of 14 to obtain 14(x - 3) = 0.

Next, we use the zero product property to find the values of x that make the equation true. We know that 14 can never equal 0, so we focus on the expression inside the parentheses. Setting x - 3 equal to 0, we get x = 3.

Therefore, the solution to the given equation is x = 3.

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Complete Question:

Simplify 9x-1=41-5x.

what is the probability of randomly selecting a college student at washington who either a male or a female? round to the nearest hundredth.

Answers

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

How do you calculate probability?

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

What are the 3 types of probability?

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

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A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder

Answers

Answer:

      H ≈ 10.994424 m ≈ 11 m

Step-by-step explanation:

\(V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m\)

Using integration by parts, rewrite the following integral as fudv = uv-fvdu [in (2x) e 4x² dx

Answers

To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

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In a trivia contest, players form teams and work together to earn as many points as possible for their team. Each team can have between 3 and 5 players. Each player can score up to 10 points in each round of the game. Elena and four of her friends decided to form a team and play a round.


Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.


1. the number of points that Elena's team earns in one round


2. the number of points Elena's team earns if each player misses one point


3. the number of players in a game if there are at least 3 teams

Answers

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

\(3\leqN\leq5\cdots(i)\)

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

\(0\leq P \leq 10\cdots(ii)\)

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

\(0\leq 5P \leq 50\)

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

\(R\geq3\cdots(iii)\)

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

\(3R\leqNR\leq5R\)

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Evaluate the iterated integral by converting to polar coordinates.∫8−8∫√64−x20(x2+y2) dy dx

Answers

To convert to polar coordinates, we need to express x and y in terms of r and θ. We have:

x = r cos θ

y = r sin θ

Also, we need to change the limits of integration. The region of integration is the circle centered at the origin with radius 8, so we have:

-π/2 ≤ θ ≤ π/2 (for the upper half of the circle)

0 ≤ r ≤ 8

Now we can express the integrand in terms of r and θ:

\(x^2 + y^2 = r^2\) (by Pythagoras)

\(20(x^2 + y^2) = 20r^2\)

So the integral becomes:

∫-π/2π/2∫\(08r^3 cos^2 θ sin θ dr dθ\)

We can simplify cos^2 θ sin θ using the identity cos^2 θ sin θ = (1/3)sin^3 θ, so we get:

∫-π/2π/2∫\(08r^3 (1/3)sin^3 θ dr dθ\)

The integral with respect to r is easy to evaluate:

∫0^8r^3 dr = (1/4)8^4 = 2048

The integral with respect to θ is also easy to evaluate using the fact that sin^3 θ is an odd function:

∫-π/2π/2(1/3)\(sin^3\) θ dθ = 0

Therefore, the value of the iterated integral is:

2048(0) = 0

The volume of the solid is zero. This makes sense because the integrand is an odd function of y (or sin θ) and the region of integration is symmetric with respect to the x-axis.

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The solution of any equation is the value of the variable that makes the equation true. The equation x + 3 = 5 has the solution x = 2 because 2 + 3 = 5. Find the solutions to the following questions by finding the value of each of their variables. Part A In question 1, you found the squares of both positive and negative numbers. From the values you entered in the tables, what value or values can you substitute for x in x2 = 9 to make the equation true?

Answers

Answer:

There are both positive and negative values to substitute for x in x2 = 9. In the positive numbers, 32 = 9, so x = 3 is a solution. In the negative numbers, -32 = 9, so x = -3 is also a solution. The solutions for x2 = 9 are 3 and -3.

from edmentum might wanna change it up<3

The value of x for the expression x² = 9 is,

⇒ x = ±3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² = 9

Now, We can simplify as;

⇒ x² = 9

⇒ x² - 9 = 0

⇒ x² - 3² = 0

⇒ (x - 3) (x + 3) = 0

⇒ x = 3 or x = - 3

Thus, The value of x for the expression x² = 9 is,

⇒ x = ±3

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A deficiency in the release of vasopressin (antidiuretic hormone [ADH]) by the posterior pituitary gland causes: a. hypoglycemia. b. dwarfism. c. diabetes insipidus. d. none of the above.

Answers

A deficiency in the release of vasopressin (ADH) by the posterior pituitary gland causes diabetes insipidus. Option C

Diabetes insipidus is a condition characterized by the inability of the body to regulate water balance due to a deficiency in the release of vasopressin, also known as antidiuretic hormone (ADH), by the posterior pituitary gland. Vasopressin plays a crucial role in regulating water reabsorption in the kidneys, thereby controlling urine concentration and volume.

When there is a deficiency of vasopressin, the kidneys are unable to properly reabsorb water, leading to excessive urination and increased thirst. This condition is called diabetes insipidus, which is different from diabetes mellitus, a condition related to blood sugar regulation.

Hypoglycemia refers to low blood sugar levels and is not directly associated with a deficiency in vasopressin. Dwarfism, on the other hand, is a condition characterized by stunted growth and is caused by various factors such as genetic mutations or hormonal imbalances, but not specifically by a deficiency in vasopressin.

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Please hurry
thank you

Please hurrythank you

Answers

Answer:

yes

Step-by-step explanation:

Answer:

57 + 52 is 109. 109 + 51 = 160. 160 + 20 is 180

Step-by-step explanation:

Brainliest please

translations geometry
help please it will mean a lot maybe answer the first one for for and explain how to do it! im failing

translations geometry help please it will mean a lot maybe answer the first one for for and explain how

Answers

Answer:

N(3,4)

H(2,2)

F(1,-2)

Step-by-step explanation:

Take Point N and move it up one unit then move it 2 units to the left. where ever it lands is your coordinates.

you repeat this process for all the points.

I hope this helps and wasn't confusing!

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Simplify by expressing fractional exponents instead of radicals.

8√x²y⁴

Answers

The expression can be written without negative exponents as 64xy²

Simplification of Exponents

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴. Here, 4 is the exponent and 6 is the base.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a less complex form in a way that they cannot further be reduced. There are methods in algebra for simplifying exponents with different and same bases that we can use.

Steps to solving basic problems like this are;

Step 1

remove parentheses by multiplying factors.

Step 2

use exponent rules to remove parentheses in terms with exponents.

Step 3

combine like terms by adding coefficients.

Step 4

combine the constants.

In this case, we have an expression;

8√x²y⁴ which can be rewritten without using the square.

8√x²y⁴ = 64xy²

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T h e t u r t l e w a s a n i m p o s t e r

Answers

Answer:

:0 wowwwwwwww

Step-by-step explanation:

what is the importance of derivative classification?

Answers

Answer:

Classifying information helps to protect our national security

#Brainly lovers

The importance of derivative classification lies in its role in safeguarding sensitive information and ensuring national security. Derivative classification involves the process of determining the level of classification of information that is derived from a primary source.

what is the importance of derivative classification?

Derivative classification is an essential aspect of information security and classification systems. It involves assigning the appropriate level of classification to information that is derived from a primary classified source. This process ensures that the derived information is protected and handled with the same level of care as its source material.

The importance of derivative classification lies in several key factors. Firstly, it helps prevent unauthorized disclosure of sensitive information. By classifying derived information, access to it can be controlled, limiting its availability to individuals with appropriate security clearances. This restriction ensures that only authorized personnel can access and handle the information, reducing the risk of it falling into the wrong hands.

Derivative classification promotes information sharing within authorized channels. When information is properly classified, it can be shared securely among individuals or organizations that have the necessary clearances. This controlled sharing allows for effective collaboration and coordination among different entities while maintaining the confidentiality of the information.

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8(63) use the distributive property

Answers

8 times 63 equals 504

A ribbon is 32/3 yards long. Mae needs to cut the ribbon into pieces that are 2/3 of a yard long. How many pieces of ribbon can she cut?

Answers

Answer:

16

Step-by-step explanation:

if the ribbon is 32/3 yards long and you need 2/3 yard long segments the denominators cancel out giving you 32 and 2 32/2 = 16

Answer:

16 pieces of ribbon

Step-by-step explanation  

if you divide the length of the ribbon by the length of the pieces she needs to cut it into, you get 16.

Please help guys<333

Please help guys&lt;333

Answers

Answer:

2

Step-by-step explanation:

because u need to multiply

If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?

Answers

Answer:

y = |x - 4|

Step-by-step explanation:

Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)

If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.

What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?

Answers

Since the omnibus null hypothesis is rejected in a one-factor anova,  We conclude that at least one of the population means is said to be different from also at least one other population mean.

What is the null hypothesis for any omnibus one-way ANOVA test?

It is known to be called HA. It is one that shows that  at least one coefficient is said to not be equal to zero.

Note that the above is an example of an omnibus test due to the fact that the null hypothesis is testing the question of if a lot of parameters are equal to zero at once.

Hence, Since the omnibus null hypothesis is rejected in a one-factor anova,  We conclude that at least one of the population means is said to be different from also at least one other population mean.

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A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 10 ​minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 12 minutes. A. What equation can you use to find the distance of the flowerbed from the​ hive? B. How far is the flowerbed from the​ hive?

Answers

Answer:

d/10 + 600 + d/6 = 720

450 fts

Step-by-step explanation:

Given that:

Speed from hive to flowerbed = 10 ft/s

Time used in flowerbed = 10 minutes

Speed from flowerbed to hive = 6ft/s

Total time at which bee is away from hive = 12 minutes

Equation to find distance of flowerbed from hive :

Let distance from hive to flowerbed = d

Time taken = distance / speed

Time taken from hive to flowerbed = d/ 10

Time used in flowerbed = 10 minutes = (10 * 60) = 600 seconds

Time taken from flowerbed to hive = d/6

Total time away from hive = 12 mins = (12 * 60) = 720 seconds

A. What equation can you use to find the distance of the flowerbed from the​ hive?

Distance can be obtained from the formula :

d/10 + 600 + d/6 = 720

B. How far is the flowerbed from the​ hive?

d/10 + 600 + d/6 = 720

Take L. C. M of 10 and 6 = 30

(3d + 18000 + 5d) = 21600

8d + 18000 = 21600

8d = 21600 - 18000

8d = 3600

d = 3600/8

d = 450

Distance of flowerbed from hive = 450 fts

The compound interest on Rs. 50000 at 4% per annum for 2 years compound annually is

Answers

Answer:

$54080

Step-by-step explanation:

Step one:

given

principal= Rs. 50000

rate= 4%= 0.04

time= 2 years

Required

The final Amount A

Step two

Applying

A= P(1+r)^t

substitute

A= 50000(1+0.04)^t

A= 50000(1.04)^2

A= 50000*1.0816

A= 54080

$54080

(5x-10)+135=180

pls help!

Answers

Answer:

x=11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−10+135=180

5x+−10+135=180

(5x)+(−10+135)=180(Combine Like Terms)

5x+125=180

5x+125=180

Step 2: Subtract 125 from both sides.

5x+125−125=180−125

5x=55

Step 3: Divide both sides by 5.

5x

5

=

55

5

Answer:

x=11

Step-by-step explanation:

A cone-shaped container has a height of 240 in. And a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week. How many weeks will it take for all of the chemical to evaporate? use 3. 14 to approximate pi. Enter your answer in the box.

Answers

Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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x The power series for the exponential function centered at 0 is ex· for k! oo

Answers

The power series are a useful tool for approximating functions around a given point, and they can provide insight into the behavior of functions in the neighborhood of that point.

The power series for the exponential function centered at 0 is:

e^x = Σ(x^n/n!) for n = 0 to infinity.

This means that the coefficient of the nth term in the power series is x^n/n!. As n goes to infinity, the coefficient becomes smaller and smaller, approaching 0. Therefore, we can say that the factor of x^n/n! approaches 0 as n approaches infinity, and we can approximate e^x by truncating the power series at some large value of n.

Note that the power series for e^x centered at a different point c would be:

e^(x-c) = Σ((x-c)^n/n!) for n = 0 to infinity.

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Can you find the slope and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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What is an angle that is adjacent to LGK? Which expression is equivalent to 1/4 -3/4 x? Please help I need an essay like one page PLEASE HELP ME ID SO GRATEFUL.WRITTEN COMPOSITION: ExpositoryREAD the information in the box below.____________________________________________| "A generation which ignores history has no past and no | | future." - Robert Heinlein. ||___________________________________________ |THINK carefully about the following statement:There are lessons to be learned from the past.WRITE an essay explaining what we can learn from the past and why it is important.Be sure to- Clearly state your controlling idea Organize and develop your explanation effectively Choose your words carefully Use correct spelling, capitalization, punctuation, grammar and sentences new developments in imaging for sentinel lymph node biopsy in early-stage oral cavity squamous cell carcinoma Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: An angle bisector divides an angle into two congruent angles. KM is an angle bisector of J K L .Conclusion: J K M M K L battery is dead. Compare 8.002 to 8.20. Which is greater? The words "happy" also has some idiomatic expression of (a happy event) at 1200 k it was observed that when the equilibrium partial e. pressure of water vapor is 15.0 torr, the total pressure at equi- librium is 36.3 torr. calculate the value of kp for this according to labeling theory, the key to understanding crime is in studying how people develop into offenders and how they escape from their lives of crime. why is ""expanding the pie"" an effective way of negotiating collaboratively? Megan bought a box of 30 cookies. She ate 1/3 ofthem. What is the total number of cookies thatMegan ate? HELP HURRY PLEASE HURRY ! relational calibration involves one member of a partnership withdrawing when he or she feels the intimacy is too intense. Type the correct answer in the box. Use numerals instead of words.What value of x makes this equation true?-6x + 3 = 45X= Which function represents the graph below? after class your professor tells you his office hours for the week so you can come by with questions. you don't have your phone or paper/pen, so you try to rehearse the days and times until you can write it down. what are you using and how much info do can you hold? Since Hamlet is a teenager, he can sometimes be a bit dramatic some might say melodramatic. Pretend you are Hamlet's therapist or a best friend and he has just given the "To Be or Not to Be" speech to you. What advice would you give him about life and death to change his mind about taking his life? Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average? Plants, algae, and some bacteria use the energy of sunlight in the process ofThe process converts the energy from sunlight into chemical energy stored in the bondsof is a set of decisions made across value chains that supports implementation of high-level business strategies. a. corporate strategy b. business strategy c. functional strategy d. operations strategy e. management strategy