A number is chosen at random from 1 to 25. Find the probability of selecting a number greater than 19.

Answer:

its 1/2

Step-by-step explanation:

Answer:

math

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

The concept that relates how much one variable changes as another variable changes is Slope.

Slope is a numerical representation of how inclined a line is with respect to the horizontal. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts changes in y or the vertical axis with changes in x or the horizontal axis.

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Answer:

X=5

Step-by-step explanation:

Angle A is congruent to angle D.

Answer:

Likely

Step-by-step explanation:

68% is more than 2/3, so the event is likely to occur.

Answer: Likely

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

90 feet is the lengths of the sides of the rectangular field .

What do you mean by rectangular?

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 5400, hence:

Area = length * width = x * y

5400 = xy

y = 5400/x

A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(5400/x) = 2x + 16200/xTo minimize

the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 16200/x²

2 - 16200/x² = 0

2 = 16200/x²

2x² = 16200

x² = 8100

x = 90 feet

y = 5400/x =  5400/90 = 90 feet

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In order to find the maximum weight, first we need to find the value of z that corresponds to the upper 4.5%.

To do so, let's find the value of z with a score of:

Looking at the z-table, the value of z for a score of 0.955 is equal to 1.695.

Now, to find the maximum weight x, we can use the formula below:

Where μ is the mean and σ is the standard deviation.

So, using the given values, we have:

Rounding to two decimal places, we have a weight of 28.58 ounces.

Answer: B

Step-by-step explanation:

Points from the graph

Points from f(x)                         points from g(x)

(1,2)                                                (1, 1/2)

(4, 16)                                             (4, 4)

f(x) was multiplied by 1/4 to get to g(x)

Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As it is given that the {5} is the solution set of the function, therefore, we can write,

\(x = 5\\(x-5 )= 0\)

Thus, (x-5) is one of the factors of the polynomial.

Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.

\((x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25\)

Hence, the polynomial whose solution set is {5} is x²-10x+25.

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Answer:

x²-10x+25

Step-by-step explanation:

It was correct for me

The main idea is the number of marbles and the denominator of the probability. All you have to do is multiply the fraction by a fraction which is equal to 1 which makes the denominator equal to 63. We know 63 is a multiple of 9. 9 goes 7 times in 63 so we multiple the fraction \(\frac{2}{9}\) with \(\frac{7}{7}\) which gives, \(\frac{2 * 7}{9 * 7}\) which when evaluated gives \(\frac{14}{63}\) and the numerator is the number of red marbles in the bag. So there are 14 red marbles in the bag :D

Answer:

the 2nd one

Step-by-step explanation:

Answer:

its the blue circle

Step-by-step explanation:

The general solution of the given differential equation \($y = \left(-\frac{4\ln|x|}{x^3}\right)e^{-3x} + \frac{C}{x^3}$\), where C is an arbitrary constant.

The given differential equation is a first-order linear ordinary differential equation of the form \($xy' + 3y = f(x)$\)  where \($f(x) = \frac{4e^{-3x}}{x^2}$\) .To solve this equation, we need to find an integrating factor, which is a function that when multiplied with the original equation, makes the left-hand side a derivative of a product of functions. To find the integrating factor, we multiply the equation by a function u(x), such that \($u(x)xy' + 3u(x)y = u(x)f(x)$\), and seek a function u(x) that makes the left-hand side a derivative of a product.

By comparing this equation with the product rule, we can see that the integrating factor is\($u(x) = e^{3\ln{|x|}}$\), which simplifies to \($u(x) = x^3$\).
Multiplying the original equation by the integrating factor, we get \($x^3y' + 3x^2y = \frac{4e^{-3x}}{x}$\). The left-hand side is now a derivative of the product \($(x^3y)$\), so we can integrate both sides with respect to x to obtain the general solution: \($x^3y = -4e^{-3x}\ln{|x|} + C$\) where C is the constant of integration.

Dividing both sides by \($x^3$\), we get the final form of the general solution. Therefore, the general solution of the given differential equation is \($y = \left(-\frac{4\ln{|x|}}{x^3}\right)e^{-3x} + \frac{C}{x^3}$\), where C is an arbitrary constant. This solution satisfies the original differential equation for all x except x = 0, where the solution is not defined due to the singularity in the coefficient.

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Answer:

Step-by-step explanation:

Interior Angle to a Circle Theorem.

X° = 1/2 (130° + 142°)

x° = 1/2 (272°)

x° = 136°

The issue with multicollinearity in the model should be investigated further because it can lead to unreliable regression coefficients, standard errors, and p-values.

The Variance Inflation Factor (VIF) is an excellent method to determine if multicollinearity exists in a model. Multicollinearity happens when the independent variables in the model are highly correlated with one another. This is a problem because it makes it tough to discern the individual impact of each independent variable on the dependent variable.High VIF values signal that multicollinearity may be a problem in the model. According to the rule of thumb, VIFs of 10 or greater are a sign of extreme multicollinearity.

As a result, a VIF of 13.55 is high. It implies that the independent variables are too strongly correlated and could be influencing one another's impacts on the dependent variable.

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A set is a mathematical model for a collection of items. The correct option is C.

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

Given the s={(a, b), (a, c), (b, d), (d, c)} and t={(b, b), (c, a), (c, d), (a, d)} Therefore, the value of  t ∘ s = { (a, c), (b, d), (c, b), (c, c) }.

Hence, the correct option is C.

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Answer:

I think the answer for this question is 2.24cm

Answer: x=13/2

Step-by-step explanation: hope this helps!

The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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An eating disorder characterized by bingeing and purging is called bulimia nervosa.

The minimum amount of body fat needed for good health is variable and can depend on factors such as age, gender, and individual circumstances. However, essential body fat is typically estimated to be around 3-5% for men and 8-12% for women.

The term used to describe a person who is very overfat is obese. Obesity refers to having excessive body fat, which can have negative effects on health.

People with anorexia nervosa, an eating disorder characterized by restrictive eating and an intense fear of gaining weight, often see themselves as too fat even when they are extremely thin. This distorted body image is a characteristic feature of anorexia nervosa.

A technique for assessing body fat levels that involves being weighed under water is called hydrostatic weighing or underwater weighing. It is considered one of the more accurate methods for determining body composition.

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A differentiable function h(x) with specific conditions will have points where h(d) = d, h'(c) = 1/3, and h'(x) = 1/4.

(a) By the Intermediate Value Theorem, as h(x) is continuous, there exists a point d in the interval (0,3) where h(d) equals d, since h(0) = 1 and h(3) = 2.

(b) Using the Mean Value Theorem, as h(x) is differentiable, there exists a point c in (0,3) where h'(c) equals the average rate of change between h(0) and h(3), which is 1/3.

(c) By applying Rolle's theorem repeatedly, we can show that there exists a point in the domain of h(x) where the nth derivative of h(x) is zero.

Consequently, at that point, h'(x) is constant, and since h'(0) = h'(3), we can conclude that h'(x) equals 1/4 at some point in the domain.

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Question -  Exercise 5.3.3. Let h be a differentiable function defined on the interval (0,3), and assume that h(0) = 1, h(1) = 2, and h(3) = 2. (a) Argue that there exists a point de [0,3] where h(d) = d. (b) Argue that at some point c we have h'(c) = 1/3. (c) Argue that h'(x) = 1/4 at some point in the domain.

Answer:

42:41

Step-by-step explanation:

The number of feet in the length of the handrail is 17.3 feet.

Pythagorean theorem, is a geometric theorem that the total of a squares on the sides of a right triangle equals the square upon that hypotenuse (a side opposite its right angle)—or, using familiar algebraic notation, the sum of squared on the hypotenuse equals the square also on hypotenuse.

H² = B² + P²

A spiral would be a shape that wraps around and around with each curve being higher or lower than the one before it.

Now, according to the question;

The simplest way to understand this is to assume that we may "unfold" this spiral to form a rectangle.

Its bottom part of rectangle is simply an arc length of a 3 ft radius circle spun around 270°= (3/4) of a full revolution.

Thus,

= (3/4)× (2\(\pi\)) ×(3)  

=  (9/2)×\(\pi\) ft

=   4.5×\(\pi\)  ft

The height of the staircase will be the side of rectangle = 10ft.

And the rectangle's diagonal will correspond to the length of a railing.

To solve this, we can apply the Pythagorean Theorem.

Handrail length = √ [ (4.5 ×\(\pi\))² + 10² ]  

Handrail length ≈  17.3 ft

Therefore, the the number of feet in the length of the handrail is 17.3 feet.

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The complete question is-

A spiral staircase turns 270° as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail?

Step-by-step explanation:

area of the trapezoid = area of the 2 triangles +

area of the rectangle

i) area of triangle on left:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

ii) area of triangle on right:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

iii) area of rectangle = length × width

a = l × w

a = 12 × 9

a = 108 in²

iv) area of trapezoid = 9 + 9 + 108

= 126 in²

hope this helps you!

-s.

Term

Step-by-step explanation:

hope so the answer is satisfying

Answer:

b because it is an expressio n

Step-by-step explanation: