Jamie is going to run for
1
2
2
1
​
start fraction, 1, divided by, 2, end fraction of an hour at a constant rate, and they want to plan what that rate will be.
1. Write an equation that represents the distance Jamie will run in kilometers (
�
dd) at a rate of
�
rr kilometers per hour.

The first limit,  [tex]\lim_{x\to \→-2^- } -3(x+2)/x²+4x+4[/tex]  , evaluates to negative infinity, while the second limit, [tex]\lim_{ x\to \-2^+}-3(x+2)/x²+4x+4[/tex] , evaluates to positive infinity.

Function in maths is a relation between two sets of values. It is a type of mathematical equation in which each input value has a unique output value. In a function, each input value must correspond to only one output value. This means that for any input value, the output must be the same.

This indicates that the function has a vertical asymptote at x=-2.

In order to understand why this is the case, we can first rewrite the function as follows:

f(x) = -3(x+2)/(x+2)(x+2)

The denominator of the function is (x+2)(x+2), which has a double root at x=-2. This means that the denominator is equal to zero when x=-2. As a result, the function f(x) will have a vertical asymptote at x=-2, since the denominator will be equal to zero and the function will approach negative or positive infinity. This is why the two limits mentioned above both evaluate to either negative or positive infinity.

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The limit of the given functions are:

[tex]\lim_{x \to \--2^-}[/tex]-3(x+2)/ x²+4x+4 = positive infinity

[tex]\lim_{x \to \--2^+}[/tex] -3(x+2)/ x²+4x+4 = negative infinity

[tex]\lim_{x \to \--2[/tex] -3(x+2)/ x²+4x+4 = Undefined

Function is a relation between two sets of values. In a function, each input value must correspond to only one output value. This means that for any input value, the output must be the same.

[tex]\lim_{x \to \--2^-}[/tex]-3(x+2)/ x²+4x+4

= -3(-2+2)/(-2)²+4(-2)+4

= -3/0 + 8 + 4

= +∞  (infinity)

[tex]\lim_{x \to \--2^+}[/tex] -3(x+2)/ x²+4x+4

= -3(-2+2)/(-2+2)²+4(-2+2)+4

= -3/4 + 0 + 4

= -∞

[tex]\lim_{x \to \--2[/tex] -3(x+2)/ x²+4x+4

= -3(-2+2)/(-2+2)²+4(-2+2)+4

= -3/0 + 0 + 4

= Undefined

Therefore, the limit of the functions given are:

[tex]\lim_{x \to \--2^-}[/tex]-3(x+2)/ x²+4x+4 = +∞

[tex]\lim_{x \to \--2^+}[/tex] -3(x+2)/ x²+4x+4 = -∞

[tex]\lim_{x \to \--2[/tex] -3(x+2)/ x²+4x+4 = Undefined

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Answer:

the answer is 2.4 for ef

pls mark me brainliest

Answer:

In mathematics, an inequality is a statement that compares two values, indicating that they are not equal, and specifies the relationship between them. In other words, an inequality expresses a relative difference between two values or quantities, rather than an exact equality.

There are different types of inequalities, but the most common ones involve comparisons between numerical values or algebraic expressions using inequality symbols, such as:

Greater than: x > y (read as "x is greater than y")

Less than: x < y (read as "x is less than y")

Greater than or equal to: x ≥ y (read as "x is greater than or equal to y")

Less than or equal to: x ≤ y (read as "x is less than or equal to y")

Inequalities can also involve multiple variables and can be used to describe ranges of values or conditions that must be satisfied. For example, x + y > 5 is an inequality that describes a region of the xy-plane where the sum of x and y is greater than 5.

Inequalities are used extensively in many areas of mathematics, including algebra, calculus, and optimization, and also have applications in other fields such as economics, physics, and engineering.

Step-by-step explanation:

Answer:

Can you rephrase the question as it doesn't seem possible to solve. There may be a value missing.

Simplify the expression:

[tex]\dfrac{cot^2(a)(1+csc(a))(1-csc(a))}{(1+sec(a))(1-sec(a))}[/tex]

Answer:

Step-by-step explanation:

it is mable

Answer:2

Step-by-step explanation:

Answer:

2 Tons

Step-by-step explanation:

Homer’s car weighs 2 tons because there are 2,000 pounds in a ton and 4,000 divided by 2,000 equals 2

The limit of f(x, y) as (x, y) approaches (0, 0) depends on the path taken, the limit does not exist, and we can conclude that the function f(x, y) do not have a limit as (x, y) → (0, 0).

To show that the function f(x, y) does not have a limit as (x, y) → (0, 0), we need to show that the limit does not exist, either because the limit is infinite or because the limit does not exist.

We are given that the limit of f(x, y) as (x, y) → (0, 0) when y → infinity is infinity. This means that as y approaches infinity, the function f(x, y) becomes arbitrarily large, regardless of the value of x. However, this does not imply that the limit of f(x, y) exists as (x, y) → (0, 0).

To see why, consider the sequence of points (x_n, y_n) = (1/n, n) as n approaches infinity. As y_n → infinity, we have

lim (x_n, y_n) → (0, 0) f(x_n, y_n) = infinity.

However, if we consider the sequence of points (x_n, y_n') = (1/n, n^2) instead, as n approaches infinity, we have

lim (x_n, y_n') → (0, 0) f(x_n, y_n') = 0.

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Answer:

30% of the number is 102.

Answer:

y=10

Step-by-step explanation:

Answer: No, Chaz is not correct. Although their balances are both negative, we cannot compare them simply based on their numeric values. The magnitude of the balance does not indicate who owes more to the bank, as it depends on various factors such as account activity, fees, and interest rates. We would need to know more information about their accounts, such as the interest rates and any fees, in order to determine who owes more to the bank.

Excluding the bank fees Chaz would technically be correct.

No, Chaz is not correct.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

No, Chaz is not correct.

Although both Chaz and Will have negative checking account balances, we cannot determine who owes more to the bank based solely on the balance amount.

The balance amount only indicates how much money they owe to the bank, but it does not give any information about the amount they initially deposited or any other financial transactions they may have made.

To determine who owes more to the bank, we would need to know the initial deposit amount, the transaction history, and any fees or interest charges that have been applied to the accounts.

Without this additional information, we cannot accurately compare the two balances or determine who owes more to the bank.

Thus,

No, Chaz is not correct.

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In the given situation we know that the equation X²+6x=5 has (3) two real solutions.

In algebra, a real solution is just an answer to an equation that is a real number.

Discriminant b² - 4ac has zero value in the case of a single actual solution.

One solution, x = -1, exists for the equation x² + 2x + 1 = 0.

The Determinant Calculator on Cuemath can be used to determine the determinant of a quadratic equation.

Use the formula: b²-4ac

Insert values:

b²-4ac

6²-4(1)(5)

36-20

16

We know that:

If b²-4ac is > o (Two real solutions)

Therefore, in the given situation we know that the equation X²+6x=5 has (3) two real solutions.

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We can factor the polynomial 6z² + 6z as follows:

[tex]6z^2 + 6z = 6z(z + 1)[/tex]

We can use this factorization to express the area of the wall as the product of two factors:

[tex]6z^2 + 6z = 6z(z + 1) = length × width[/tex]

Therefore, the length of the wall is 6z, and the width of the wall is z + 1.

If the top of Bria's bookcase has a length-to-width ratio of 3:1, the width of the top should be about 10 inches to provide an area of 300 square inches for her soap carving collection.

The top of the bookcase is a rectangle, the area of the top can be expressed as the product of its length and width:

Area of the top = length × width

Area of the top = 300 square inches

length × width = 300 square inches

width = 300 square inches / length

Assuming that the top of the bookcase is with a length-to-width ratio of

3 : 1

length = 3 × width

substituting the value gives

width = 300 / (3 × width)

Simplifying, we have:

width² = 100 square inches (the polynomial)

Taking the square root of both sides, we get:

width = √100 ≈ 10 inches

Then the length will be = 30 inches

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The slope of the sole sequence's perpendicular line is [tex]-\frac{3}{2}[/tex].

As two lines meet at right angles, the word "perpendicular" refers to an angle. Every direction, including up and down, across, and side to side, can be faced by a pair of perpendicular lines.

A perpendicular is a straight line in mathematics that forms a correct angle (90 °) with another line. In other words, two lines are parallel to one another if they connect at a right angle.

[tex]y = mx + b[/tex], where [tex]m[/tex] is the slope:

[tex]4x - 6y = -24[/tex]

[tex]-6y = -4x - 24[/tex]

[tex]y = (4/6)x + 4[/tex]

[tex]y = (2/3)x + 4[/tex]

So the slope of the given line is [tex]2/3[/tex].

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of [tex]2/3[/tex]:

[tex]-1/(2/3) = -3/2[/tex]

Therefore, the slope of a line perpendicular to the given line is [tex]-\frac{3}{2}[/tex].

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Answer:

124 and 125.97

Step-by-step explanation:

y

A parabola with a vertex at (1,3) and an opening downhill is depicted by the equation.

A parabola is an equation of a curve with a spot on it that is equally spaced from a fixed point and a fixed line.

In mathematics, a parabola is a roughly U-shaped, mirror-symmetrical plane circle. The same curves can be defined by a number of apparently unrelated mathematical descriptions, which all correspond to it. A point and a line can be used to depict a parabola.

Equation given: 3x² - 6x + 4y - 9 = 0. When the given equation's graph is plotted, it is discovered that the parabola that is created is opened downward and has a vertex at the spot. ( 1,3). The graph and the following response are attached.

The equation that depicts a parabola with a vertex at (1,3) opening downward is option C, making it the right choice.

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Answer:

Parabola with a vertex at (1, 3) opening downward.

Step-by-step explanation:

The domain of the given function f(x) = 2x + 7 is -∞ < x < ∞.

The range of values that we are permitted to enter into our function is known as the domain of a function.

Consider the function y = f(x), which has the independent variable x and the dependent variable y.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

So, the given function is:

f(x) = 2x + 7

To find  the domain:

There are no undefined places or domain restrictions in the function. As a result,  -∞ < x < ∞ is the domain.

Therefore, the domain of the given function f(x) = 2x + 7 is -∞ < x < ∞.

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Correct question:

Find the domains of the following function: f(x) = 2x + 7

The points that lie on the line L with parametric form L(t) = (1, 3, 2) + t(-2, 1, -1) are (1, 3, 2), (-1, 4, 1), and (-3, 5, 0). So, the correct answer is C).

The parametric form of the line L can be written as:

L(t) = x0 + tv

where x0 = (1, 3, 2) and v = (-2, 1, -1)

To find which points lie on the line L, we can substitute different values of t into the parametric equation and see which points we get.

For t = 0, we have:

L(0) = x0 + 0v = (1, 3, 2) + 0(-2, 1, -1) = (1, 3, 2)

For t = 1, we have:

L(1) = x0 + 1v = (1, 3, 2) + (-2, 1, -1) = (-1, 4, 1)

For t = 2, we have:

L(2) = x0 + 2v = (1, 3, 2) + 2(-2, 1, -1) = (-3, 5, 0)

So the points that lie on the line L are (1, 3, 2), (-1, 4, 1), and (-3, 5, 0). So, the correct option is C).

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Answer:

They are similar

Step-by-step explanation:

It's because 27/18 = 12/8

27/18 = 1.5

12/8 = 1.5

Based on the graph given, the function is not continuous at x = 1.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output. A function is typically represented using functional notation as f(x), which means that the output value of the function f corresponds to the input value x.  Functions can take many forms and can be represented graphically or algebraically. They are used to describe many real-world phenomena, including physical systems, economic trends, and social behavior. Functions are important in mathematics because they provide a framework for understanding relationships between variables and for solving problems in various areas of mathematics, science, and engineering.

Here,

At x = 1, there is a "hole" or a point of discontinuity in the graph where the function is undefined. This is because the function has a removable discontinuity at x = 1, meaning that the limit of the function exists at x = 1 but the function is not defined at that point.

Therefore, the value of x at which the function is not continuous is: 1

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Answer:16

Step-by-step explanation:

average is similar to mean

you get the Total value and divide it with the number of values added

1. Graph is attached below. 2. 0.51 3. the percent of tiles with an area between 15.975 and 16.01 square inches is 82.78%. 4. 0.08% 5. 304 tiles 6.  0.4938x tiles.

A uniform density function is a type of probability distribution that assigns equal probability to all values within a specified range. It is also known as a rectangular distribution because the graph of the probability density function appears as a rectangle with a constant height over the interval of possible values.

The probability density function of a uniform distribution is defined by two parameters: a minimum value (a) and a maximum value (b). The function assigns a probability of 1/(b-a) to each value within the range [a, b], and a probability of 0 to any value outside this range.

1. The graph of the uniform density function that takes on values from -2 to 3 is mentioned below

2. To find P(-1.25 < X < 1.3), we need to find the area under the uniform density function between -1.25 and 1.3. Since the density function is uniform, the area is simply the rectangle with base (1.3 - (-1.25)) = 2.55 and height 1/5 (since the range of values is 5). Therefore,

P(-1.25 < X < 1.3) = (2.55 * 1/5) = 0.51

3. To find the percent of tiles that have an area between 15.975 and 16.01 square inches, we need to standardize the values using the z-score formula and then find the area under the normal curve between those two values:

z1 = (15.975 - 16) / 0.008 = -3.125

z2 = (16.01 - 16) / 0.008 = 1.25

Using a standard normal table or calculator, we find the area between these two z-scores to be approximately 0.8278.

Therefore, the percent of tiles with an area between 15.975 and 16.01 square inches is 82.78%.

4. To find the probability that a tile will have an area that is more than 16.025 square inches, we again need to standardize the value using the z-score formula and then find the area under the normal curve to the right of that value:

z = (16.025 - 16) / 0.008 = 3.125

Using a standard normal table or calculator, we find the area to the right of this z-score to be approximately 0.0008.

Therefore, the probability that a tile will have an area that is more than 16.025 square inches is 0.08%.

i. Yes, this is unusual because the probability is very low, indicating that it is highly unlikely for a tile to have an area greater than 16.025 square inches.

5. To find the number of tiles that can be expected to have a surface area less than 15.985 square inches, we first need to standardize the value using the z-score formula:

z = (15.985 - 16) / 0.008 = -1.875

Using a standard normal table or calculator, we find the probability to the left of this z-score to be approximately 0.0304.

Therefore, out of 10,000 tiles, we can expect approximately 0.0304 * 10,000 = 304 tiles to have a surface area less than 15.985 square inches.

6. To find the number of tiles that must be produced to ensure that the manufacturer has 70,000 tiles that are between 15.98 and 16.02 square inches, we need to find the z-scores for the lower and upper bounds of this range:

z1 = (15.98 - 16) / 0.008 = -2.5

z2 = (16.02 - 16) / 0.008 = 2.5

Using a standard normal table or calculator, we find the probability between these two z-scores to be approximately 0.4938.

Therefore, out of x tiles, we can expect approximately 0.4938x tiles to have a surface area between 15.

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1. The graph of the uniform density function that takes on values from -2 to 3 is attached below.

2. P(-1.25 < X < 1.3) = (2.55 * 1/5) = 0.51

3. The percent of tiles with an area between 15.975 and 16.01 square inches is 82.78%.

4. The probability that a tile will have an area that is more than 16.025 square inches 0.08%.

5. Number of tiles that can be expected to have a surface area less than 15.985 square inches

6.   To find the number of tiles that must be produced to ensure that the manufacturer has 70,000 tiles that are between 15.98 and 16.02 square inches, 0.4938x tiles.

A uniform density function is a type of probability distribution that assigns equal probability to all values within a specified range. It is also known as a rectangular distribution because the graph of the probability density function appears as a rectangle with a constant height over the interval of possible values.

1. The graph of the uniform density function that takes on values from -2 to 3 is mentioned below:

2. To find P(-1.25 < X < 1.3), we need to find the area under the uniform density function between -1.25 and 1.3. Since the density function is uniform, the area is simply the rectangle with base (1.3 - (-1.25)) = 2.55 and height 1/5 (since the range of values is 5). Therefore,

P(-1.25 < X < 1.3) = (2.55 * 1/5) = 0.51

3. To find the percent of tiles that have an area between 15.975 and 16.01 square inches, we need to standardize the values using the z-score formula and then find the area under the normal curve between those two values:

z1 = (15.975 - 16) / 0.008 = -3.125

z2 = (16.01 - 16) / 0.008 = 1.25

Using a standard normal table or calculator, we find the area between these two z-scores to be approximately 0.8278.

Therefore, the percent of tiles with an area between 15.975 and 16.01 square inches is 82.78%.

4. To find the probability that a tile will have an area that is more than 16.025 square inches, we again need to standardize the value using the z-score formula and then find the area under the normal curve to the right of that value: z = (16.025 - 16) / 0.008 = 3.125

Using a standard normal table or calculator, we find the area to the right of this z-score to be approximately 0.0008.

Therefore, the probability that a tile will have an area that is more than 16.025 square inches is 0.08%. Yes, this is unusual because the probability is very low, indicating that it is highly unlikely for a tile to have an area greater than 16.025 square inches.

5. To find the number of tiles that can be expected to have a surface area less than 15.985 square inches, we first need to standardize the value using the z-score formula:

z = (15.985 - 16) / 0.008 = -1.875

Using a standard normal table or calculator, we find the probability to the left of this z-score to be approximately 0.0304.

Therefore, out of 10,000 tiles, we can expect approximately 0.0304 * 10,000 = 304 tiles to have a surface area less than 15.985 square inches.

6. To find the number of tiles that must be produced to ensure that the manufacturer has 70,000 tiles that are between 15.98 and 16.02 square inches, we need to find the z-scores for the lower and upper bounds of this range:

z1 = (15.98 - 16) / 0.008 = -2.5

z2 = (16.02 - 16) / 0.008 = 2.5

Using a standard normal table or calculator, we find the probability between these two z-scores to be approximately 0.4938.

Therefore, out of x tiles, we can expect approximately 0.4938x tiles to have a surface area between 15.

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The length of quadrilateral ABCD of AD, which is closest to option A, is [tex]4*sqrt(13)[/tex] (34 units).

A triangle will always have an angle total of 180 degrees. A quadrilateral can be divided in half from corner to corner to form a triangle because the angle total of a quadrilateral is equal to 360°. A triangle is effectively half of a quadrilateral, therefore it makes sense that its angle measurements are also half. 180° is the half of 360°.

The Pythagorean theorem can be used to calculate the duration of AD.

The distance formula can be used to get the length of AB first:

[tex]AB = sqrt((4-(-4))2 + (6-(-2))2 = sqrt(8-(-8-8) + 8-(8) = 8*sqrt (2)[/tex]

The distance formula can then be used to get the length of AC:

[tex]Sqrt((12-(-4)) = AC^2 + (6-(-2))^2)= sqrt(16^2 + 8^2) = 8*sqrt(5) (5)\\[/tex]

Now, we can calculate the length of AD using the Pythagorean theorem:

[tex]AD^2 = AB^2 + BD^2AD^2 = (8sqrt(2))^2 + (4sqrt(5))^2AD^2 = 128 + 80AD^2 = 208AD = sqrt(208)[/tex]

Simplifying the radical, we get:

AD = sqrt(1613) = 4sqrt(13)

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The length of quadrilateral ABCD of AD, which is closest to option A, is  (34 units). Thus, option A is correct.

The sum of the angles in a triangle is always 180 degrees. Because a quadrilateral's total angles are 360°, it can be divided in half from a corner to create a triangle.

The distance formula can be used to get the length of AB first:   [tex]AB = sqrt((4 — (-4))2+ (6— (-2))2 = sqrt(8 — (-8— 8)+8— (8) = 8* sqrt(2)[/tex] The distance formula can then be used to get the length of AC:

[tex]Sqrt((12 — (-4)) = AC2 + (6 — (-2))2) = sqrt(162 + 82) = 8* sqrt(5)(5)[/tex]

Now, we can calculate the length of AD using the Pythagorean theorem:  

[tex]AD2 = AB2 + BD2AD2 = (8sqrt(2))2 + (4sqrt(5))2AD2 = 128 + 80AD2 = 208AD = sqrt(208)[/tex]

Simplifying the radical, we get:  [tex]AD = sqrt(1613) = 4sqrt(13)[/tex]

Therefore, It makes obvious that since a triangle is functionally half of a quadrilateral, its angle measurements are also half. Half of a 360° circle is 180°.

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In response to the stated question, we may state that As a result, the probability of a randomly picked client at Dillon's salon having blond hair is one-quarter.

Probabilistic theory is a branch of mathematics that calculates the likelihood of an event or proposition occurring or being true. A risk is a number between 0 and 1, with 1 indicating certainty and a probability of around 0 indicating how probable an event appears to be to occur. Probability is a mathematical term for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences among equally likely alternatives that result in a certain event.

Dillon's salon has 4 clients with blond hair and 12 clients with different hair colours, for a total of 4+12=16 clients.

The chance of picking a blond-haired customer is equal to the number of blond-haired clients divided by the total number of clients:

P(blond) = number of blond clients / total number of clients = 4 / 16 = 1/4

As a result, the likelihood of a randomly picked client at Dillon's salon having blond hair is one-quarter.

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P(blond) = 4/16 = 1/4 .is the probability that a randomly selected client at Dillon's salon has blond hair.

Probability is a measure of the likelihood that an event or experiment will occur. It is expressed as a number between 0 and 1, with 0 meaning that the event is impossible to occur and 1 meaning that the event is certain to occur. Probability can be calculated using a variety of methods depending on the type of problem. For example, the probability of a coin being heads can be calculated by dividing the number of heads by the total number of coin flips.

Probability theory is an important part of statistics and is used to make predictions about the likelihood of certain events occurring. It is also used to assess risk and make decisions in a wide range of fields, from economics and finance to medicine and engineering.

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The joint CDF of X and Y, two independent exponential random variables with parameters 1 and 2, respectively, is Fxy(a,b) = (1 - e^(-a))(1 - e^(-2b)), where a > 0 and b > 0. The correct answer is C).

Since X and Y are independent, the joint CDF of X and Y is the product of their marginal CDFs:

FXY(a,b) = FX(a)FY(b)

where FX and FY are the CDFs of X and Y, respectively.

The CDF of an exponential distribution with parameter λ is given by:

FX(x) = 1 - e^(-λx)

Therefore, the marginal CDFs of X and Y are:

FX(a) = 1 - e^(-a), λ = 1

FY(b) = 1 - e^(-2b), λ = 2

Taking the product, we get:

FXY(a,b) = FX(a)FY(b) = (1 - e^(-a))(1 - e^(-2b))

Therefore, the answer is:

Fxy (a,b) = (1 - e^(-a))(1 - e^(-2b)), a > 0, b > 0.

The correct option is C).

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Answer:

J. 500

Step-by-step explanation:

20 percent is 0.2 when multiplying.

0.2(0.2(x)) = 20

0.04(x) = 20

x = 500

Answer

6255 pounds

8.34×750=6255lbs