pls help!
Rope A is 7/12 m long, and Rope B is 2/3 m long. What is the difference in their length?

Answer:100 times 90 times 5 plus 5 is

Step-by-step explanation:45005 plz give brainlyist i Need it

Answer:

Option C i.e. 2 and 9, constants have a fixed value is a correct option.

Step-by-step explanation:

In algebra, a constant is basically a fixed value.

Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.

For example: in ''2x+7=3'', 7 and 3 are constants.

In our case:

Given the equation

\(3x+2=9\)

Therefore, 2 and 9 are constants, having a fixed value.

Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.

The correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

The given scenario states that there is a joint probability mass function (pmf) Px,y(x,y) with marginal probabilities Px(u) = Py(u) for all u. However, it also states that the probability of Y being greater than X, P(Y > X), is greater than or equal to 0.9.

This situation seems contradictory at first, as the marginals are equal but the probability of Y being greater than X is significantly high. However, it is important to note that the joint pmf Px,y(x,y) accounts for the correlation between X and Y, not just their marginals.

The correlation between X and Y allows for the possibility that Y may be greater than X with a high probability, even though the marginals are equal. This indicates a dependence between the two random variables.

To illustrate this, let's consider an example where X and Y represent the heights of two groups of individuals. The equal marginals Px(u) = Py(u) imply that the heights in each group have the same distribution. However, the high probability of Y being greater than X (P(Y > X) ≥ 0.9) suggests that, on average, the individuals in one group tend to be taller than those in the other group.

Therefore, the correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

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The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25

Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.

The amount of medicine in the 10 grams of 15% solution is

0.15 × 10 = 1.5 grams

The amount of medicine in the 25 grams of 10% solution is

0.10 × 25 = 2.5 grams

So the total amount of medicine in the original mixture is,

1.5 + 2.5 = 4 grams

Now let x be the amount of pure medicine added.

The total amount of medicine in the final mixture is,

4 + x

The total amount of solution in the final mixture is,

10 + 25 + x

So the concentration of the final mixture is,

(4 + x) / (10 + 25 + x)

We know that this concentration is 25%, so we can write:

(4 + x) / (10 + 25 + x) = 0.25

This is the equation that represents the situation.

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The given question is incomplete, the complete question is:

A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:75.36 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total hours:

Answer:

Step-by-step explanation

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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Simplifying the ratio gives 20/ 9

Ratio is defined as the comparison of two numbers indicating their size in relation to each other.

A ratio compares two quantities by division.

We have:

1:9:4.5

It can be represented thus;

= 1/ 9/ 4 × 5

Take the inverse of the divisor and multiply

= 1 × 4/ 9 × 5

Multiply through

= 20/ 9

Thus, simplifying the ratio gives 20/ 9

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Answer:

7

Step-by-step explanation:

rate of change of function not necessary mean linear, it can be the slope of a tangent line.

a: y=8x+3    slope = 8

b: rate of change: 1

8-1=7

I wish this is true...

Based on the given graph, we can create a matrix to represent the graph as follows:

\(\left[\begin{array}{ccccc}A&B&C&D&F\\0&1&0&0&1\\1&0&1&1&0\\0&1&0&0&1\\0&1&0&0&0\\1&0&1&0&0\end{array}\right]\)

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and many other fields to represent and manipulate data, equations, and systems of equations. A matrix can be represented using parentheses or brackets, with the entries separated by commas or spaces.

Here,

The rows and columns of the matrix represent the vertices of the graph, and the entries in the matrix represent the edges. If there is an edge between two vertices, the corresponding entry in the matrix is 1, otherwise it is 0. For example, there is an edge from vertex A to vertex B, so the entry in row A and column B is 1. Similarly, there is an edge from vertex B to vertex A, so the entry in row B and column A is also 1.

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Answer:

a. parallel    b. neither      c. neither      d. perpendicular

Step-by-step explanation:

Find the gradient of the line in the graph

Choose 2 coordinates, I choose (0,1) and (3,3)

Use the formula

(y2 - y1)/(x2 - x1)

(3 - 1) / (3 - 0)

2/3

Gradient of a parallel line is the same

Gradient of a perpendicular line formula m1m2 = -1

(2/3)m2 = -1

m2 = -3/2

The gradient of the perpendicular line will be -3/2

The gradient of the parallel line will be 2/3

Any other gradient will be neither parallel nor perpendicular.

By definition of quadratic equations, the quadratic equation is y = - (3 / 5) · x² - (6 / 5) · x - 33 / 45.

Quadratic equations are polynomials of second order, whose form is y = a · x² + b · x + c, where a, b, c are real coefficients. This kind of equations has an alternative form:

y = a · (x - r₁) · (x - r₂)

Where:

If we know that a = - 3 / 5, r₁ = - 1 - √2 / 3 and r₂ = - 1 + √2 / 3, then the quadratic equation is:

y = - (3 / 5) · (x + 1 + √2 / 3) · (x + 1 - √2 / 3)

y = - (3 / 5) · [x² + 2 · x + (1 + √2 / 3) · (1 - √2 / 3)]

y = - (3 / 5) · (x² + 2 · x + 7 / 9)

y = - (3 / 5) · x² - (6 / 5) · x - 21 / 45

The quadratic equation is y = - (3 / 5) · x² - (6 / 5) · x - 33 / 45.

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88 because you multiply 66 by 8 then divide by 6 and you get 88

Answer:

88

Step-by-step explanation:

6:8=66:x

66×6=528

528=6x

x=88

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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The required answers are:

a) The expected value for R is 5, and for C is 3.25.

(b) The expected value for R is 10, and for C is 14.

(c) The expected value for R is 11.1, and for C is 0.21.

Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.

To calculate the expected values for each strategy in the given situations, we multiply each payoff by the corresponding probability and sum them up. Let's calculate the expected values for each situation:

(a) R plays [5, 5]. C plays [0.5, 0.5, 6, -3].

Expected value for R:

E(R) = 5 * 0.5 + 5 * 0.5 = 2.5 + 2.5 = 5

Expected value for C:

E(C) = 0.5 * 0.5 + 0.5 * 6 = 0.25 + 3 = 3.25

(b) R plays [10]. C plays [5, 8, 5, 8, 2].

Expected value for R:

E(R) = 10 * 0.5 + 10 * 0.5 = 5 + 5 = 10

Expected value for C:

E(C) = 5 * 0.5 + 8 * 0.5 + 5 * 0.5 + 8 * 0.5 + 2 * 0.5 = 2.5 + 4 + 2.5 + 4 + 1 = 14

(c) R plays [37]. C plays [0.3, 0.7].

Expected value for R:

E(R) = 37 * 0.3 = 11.1

Expected value for C:

E(C) = 0.3 * 0.7 = 0.21

On Comparing the values

(a) The expected value for R is 5, and for C is 3.25.

(b) The expected value for R is 10, and for C is 14.

(c) The expected value for R is 11.1, and for C is 0.21.

Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.

Hence, the required answers are:

a) The expected value for R is 5, and for C is 3.25.

(b) The expected value for R is 10, and for C is 14.

(c) The expected value for R is 11.1, and for C is 0.21.

Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.

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Answer:

is it radius or diameter?

The combined area of the two rectangles is 32 square meters.

Rectangle is a two-dimensional shape with four straight sides, where all angles are right angles (90 degrees). The opposite sides of a rectangle are equal in length and parallel to each other, so rectangles have two pairs of equal sides.

The first rectangle has an area of 10 meters * 2 meters = 20 square meters.

The second rectangle has an area of 2 meters * 6 meters = 12 square meters.

When the two rectangles are joined together, the combined area of the two rectangles is 20 square meters + 12 square meters = 32 square meters.

So the combined area of the two rectangles is 32 square meters.

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Answer:

C. x = 7

Step-by-step explanation:

(7+6) = 13

2(7) - 1 =

14- 1 = 13

13-13 = 0

Answer:

liiiaaaarrrrrr

Step-by-step explanation:

Answer:

surface area

Step-by-step explanation:

A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.

In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.

The total surface area of a rectangular prism can be found out by the formula :

A = 2 (hl + lw + wh)

where, h = height of the rectangular prism

            l = length of the rectangular prism

            w = width of the rectangular prism

Answer:

The angle is 50 degrees.

Answer:

GCF = 17

Step-by-step explanation:

For the values 34, 85

Solution by Factorization:

The factors of 34 are: 1, 2, 17, 34

The factors of 85 are: 1, 5, 17, 85

Then the greatest common factor is 17.

Answer:

10

Step-by-step explanation:

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The area of the composite figure is 71 squared centimeter.

The figure in the image compose of a triangle and a rectangle.

To find the area of the composite figure, we need to find the sum of the area of a triangle and the area of a rectangle.

The area of a triangle is expressed as:

A = 1/2 × base × height

Area of a rectangle is expressed as:

A = length × width

From the image:

Base of the triangle = 4cm + 5cm = 9cm

Height of the triangle = 8cm

Length of the rectangle = 14cm

Width of the rectangle = 2.5cm

Hence:

Area = ( 1/2 × base × height ) +  ( length × width )

Area = ( 1/2 × 9cm × 8cm ) +  ( 14cm × 2.5cm )

Simplify

Area = 36cm² + 35cm²

Area = 71 cm²

Therefore, the total area is 71 squared centimeter.

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To solve this problem, we can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)

So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:

P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738

Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.

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a) \(Calculation of 5 point DFT of x(n) is: X(k) = [28, -2 - 16j, -8, -2 + 16j, -2]\)On squaring the values of X(k),\(we getY(k) = X(k)²= [784, 68 - 80j, 64, 68 + 80j, 4]\)

Now we need to compute the inverse DFT of Y(k) which is given below:

\(Let us calculate the 5-point IFFT by using the circular convolution approach as: Y(k) = X(k)²[784, 68 - 80j, 64, 68 + 80j, 4] = x²(k)By using 5-point IFFT\),

\(we can obtain the values of y(n) as below:y(n) = [1960, -360 + 168j, 256, -360 - 168j, 16]b) Given x(n) = ejwon, 0≤n≤N - 1\)and zero otherwise.

We need to find the Fourier Transform X(w) of x(n) and N-point DFT X(k) of x(n).

\(The Fourier Transform X(w) of x(n) is:X(w) = Σx(n)ejwn = Σejwon ejwn = N∑(k=0) ej2πkn/N\)

The above expression is a Geometric series.

\(When the common ratio is |r|<1, the sum of the geometric series becomes:S = a(1 - r^n)/(1 - r)\)

\(Substituting r = ej2π/N and a=1, we get:S = 1(1 - ej2πn/N)/(1 - ej2π/N)\)

\(Hence, the Fourier Transform X(w) of x(n) is:X(w) = N(1 - ej2πn/N)/(1 - ej2π/N)\)

The N-point DFT of the finite length sequence x(n) is given by:\(X(k) = Σx(n)ej2πkn/N  , for 0 ≤ k ≤ N - 1\)

\(Here, the given sequence x(n) is:x(n) = ejwon, 0≤n≤N - 1\) and zero otherwise.

\(Substituting the given sequence in the above equation, we get:X(k) = Σej2πkn/Nfor 0 ≤ k ≤ N - 1 = Σcos(2πkn/N) + jsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

\(Here, let us separate the real and imaginary parts as below:X(k) = Σcos(2πkn/N) + jsin(2πkn/N) for 0 ≤ k ≤ N - 1= Σcos(2πkn/N) + Σjsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

\(On substituting the values of cos and sin in the above equation, we get: X(k) = Re(X(k)) + jIm(X(k)), for 0 ≤ k ≤ N - 1where, Re(X(k)) = Σcos(2πkn/N) for 0 ≤ k ≤ N - 1Im(X(k)) = Σsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

Therefore, we can calculate the N-point DFT X(k) of x(n) by using the above expression.

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The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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Answer:

-44, -42, -40, -38, -36

Step-by-step explanation:

"preceding" requires an indication of the direction.

but I assume the usual left to right direction. in that sense the provided 5 even numbers are directly preceding -35