For Activities 7 through 12, Match each given situation to a possible graph of its density function. Explain.
A random number generator is used to choose a real number between 0 and 100. The random variable x is the number chosen.

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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Answer: At most 18 acute angles

Step-by-step explanation:

The sum of the interior angles of an n-sided polygon is (n-2) × 180 degrees. In a convex polygon, each interior angle is less than 180 degrees.

Let a₁, a₂, ..., a₁₁ be the interior angles of the 11-sided polygon. Then the sum of the interior angles is:

a₁ + a₂ + ... + a₁₁ = (11-2) × 180 = 1620 degrees

Since each angle is acute, we know that each angle is less than 90 degrees. Let A be the number of acute angles. Then the sum of the acute angles is at most:

A × 90

So we have:

a₁ + a₂ + ... + a₁₁ ≤ A × 90

Substituting the sum of the interior angles, we get:

1620 ≤ A × 90

Solving for A, we get:

A ≤ 18

Therefore, the polygon can have at most 18 acute angles.

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

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

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:

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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Answer:69

Step-by-step explanation: 32+420-90+09=69 pls mark it 5 stars

The R-square value informs us that whether the shift is in the morning or the evening and whether it is a weekday shift or weekend shift may account for 71% of the variability in the number of chairs generated.

The R-square statistic measures how much of the variance in the dependent variable in a regression model is accounted for by the independent variables. A better fit of the model to the data is indicated by higher values, which range from 0 to 1.

A value of 0 indicates that no variation is explained by the independent variables, while a value of 1 indicates that all variation in the dependent variable is explained by the independent factors.

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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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Answer

6255 pounds

8.34×750=6255lbs

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.

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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The maximum fuel cell area that can be operated at 1 A/cm^2 under the given conditions can be estimated using the equation A = I/(2FJ), where A is the maximum cell area, I is the current density (1 A/cm^2), F is the Faraday constant, and J is the current density per unit area. Assuming a stoichiometric number of 2 and substituting the given values, we get A = 0.029 m^2 or 290 cm^2.

Channel flow in fuel cells is almost always considered to be laminar because turbulent flow can cause mixing of the reactants and products, reducing the efficiency of the fuel cell. Laminar flow allows for efficient mass transport of the reactants and products to and from the electrode surface. Additionally, laminar flow reduces the likelihood of damage to the fuel cell due to erosion or corrosion caused by turbulent flow. However, the design of fuel cell flow channels can also affect the degree of turbulence and mixing, and optimizing this balance is an ongoing area of research.

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Answer:

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

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:

a.(1) When both r and s are odd integers, the quadratic polynomial obtained by multiplying out (x - r)(x - s) will have a coefficient of 1 for x^2 term, and both the coefficient of x term and constant term will be odd integers.

(2) When both r and s are even integers, the polynomial obtained by multiplying out (x - r)(x - s) will also have a coefficient of 1 for x^2 term, but the coefficient of x term and constant term will be even integers.

(3) When one of r and s is even and the other is odd, the polynomial obtained by multiplying out (x - r)(x - s) will have a coefficient of 1 for x^2 term, the coefficient of x term will be an odd integer, while the constant term will be an even integer.

b. x^2 - 1253x + 255 cannot be written as a product of two polynomials with integer coefficients.

a. When both r and s are odd integers, the product (x − r)(x − s) will have a coefficient of 1 for x^2 term, and both the coefficient of x term and constant term will be odd integers. This is because the sum of two odd integers and the product of two odd integers is also an odd integer.

When both r and s are even integers, the product (x − r)(x − s) will also have a coefficient of 1 for x^2 term, but the coefficient of x term and constant term will be even integers. This is because the sum of two even integers and the product of two even integers is also an even integer.

When one of r and s is even and the other is odd, the product (x − r)(x − s) will have a coefficient of 1 for x^2 term, and the coefficient of x term will be an odd integer, while the constant term will be an even integer. This is because the sum of an odd and even integer is an odd integer, and the product of an odd and even integer is an even integer.

b. If x^2 - 1253x + 255 can be written as a product of two polynomials with integer coefficients, then we can write it as (x - r)(x - s) where r and s are integers. From part (a), we know that both r and s cannot be odd integers since the coefficient of x term would be odd, but 1253 is an odd integer. Similarly, both r and s cannot be even integers since the constant term would be even, but 255 is an odd integer. Therefore, one of r and s must be odd and the other must be even. However, the difference between an odd integer and an even integer is always odd, so the coefficient of x term in the product (x - r)(x - s) would be odd, which is not equal to the coefficient of x term in x^2 - 1253x + 255. Hence, x^2 - 1253x + 255 cannot be written as a product of two polynomials with integer coefficients.

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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

The original length of the reed is 3.83 nindas which can be calculated by using the information given in the question.

Area is a two-dimensional measurement of a surface or space. It is a measure of how much space is occupied by a two-dimensional object or surface. The area of a shape is determined by multiplying the length and width of the shape together.

Firstly, we need to calculate the width of the field. As the reed fits 30 times along the width, this implies that the width of the field is 30 times the length of the reed. Therefore, the width of the field is 30 x length of the reed.

Now, we need to calculate the area of the field. As the area of the field is given as 375 nindas², this implies that the area of the field is equal to 375 nindas².

We can substitute the width of the field (30 x length of the reed) into the equation for the area of the field, to yield: 375 nindas² = (30 x length of the reed) x length of the reed.

Solving for length of the reed, we get: length of the reed = (375/30)1/2 = 3.83 nindas.

Therefore, the original length of the reed is 3.83 nindas.

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Answer:

the answer is 2.4 for ef

pls mark me brainliest

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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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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Answer:

Step-by-step explanation:

it is mable

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

Simplify the expression:

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

Answer:

124 and 125.97

Step-by-step explanation:

y

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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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:

y=10

Step-by-step explanation:

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