John, Sam & Rob were playing cards. John scored x points,Sam scored 3 fewer than John. Rob scored twice Sam's points. together they scored 50 points. write an expression for rob​

Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

2.What is the first difference?

Difference of y-values. This is the slope

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

The random variable X is the ounces of water in the bottle.

What is a random variable?

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a sample space of potential outcomes to a measured space, frequently the real numbers.

A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. A random variable is a numerical representation of the result of an experiment in statistics. Discrete random variables are those that can only take on a finite number or an infinite series of values.

Hence, According to the provided information, it is known that a bottle of water contains 12.05 fluid ounces; hence it is clear that the random variable X will be the ounces of water.

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complete question:

A bottle of water contains 12.05 fluid ounces with a standard deviation of 0.01 ounces. Define the random variable X in words.

Marks of Bobbie = x

Then, marks of Georgia

= 3 times marks of Bobbie

= 3 times m

= 3 × m

= 3m

Follow these steps below to find electric field along the x axis.

1. Understand the relationship

2. Determine the electric potential function

3. Take the derivative of the electric potential function

4. Find the electric field at the desired location

lets briefly discuss these steps:
1. Understand the relationship: The electric field (E) and electric potential (V) are related by the equation E = -dV/dx, where dV is the change in potential, dx is the change in position along the x-axis, and the negative sign indicates that the electric field points from higher potential to lower potential.

2. Determine the electric potential function: You'll need the electric potential function V(x) for the problem you're working on. This function will be given or can be derived from other information in the problem.

3. Take the derivative of the electric potential function: Differentiate the electric potential function V(x) with respect to the position x to find the electric field as a function of position E(x).

4. Find the electric field at the desired location: Evaluate E(x) at the specific point along the x-axis where you want to find the electric field.

By following these steps, you can find the electric field along the x-axis using the relationship between the electric field and the electric potential.

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Answer:

4 number for a answer of that question

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

24 of each.

Step-by-step explanation:

it's just lcm. find the lcm of 6 and 8. so: 12:16 then 24:24

We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.

Since a complete turn around the circle has 360º, we have the following proportion:

Number of students Angle

734 360º

442 x

Then, cross multiplying the above values, we obtain:

Answer: 217º

Answer:

217°

Step-by-step explanation:

The fraction of students taking math is   442/734

 we need this same fraction of the 360 degrees in a circle

442/734 * 360 = 217°

Answer:

time = 70 minutes

Answer:

k= 1 mile per minute

Step-by-step explanation:

There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.

The table representing this information is given below:

\(\left|\begin{array}{c|ccccc}$x (minutes) & 8 &10&13&14 \\$y (miles) & 8 &10&13&14 \end{array}\right|\)

The equation of proportionality is given as: y=kx

When x=8, y=8

Substituting we have:

8=8k

Divide both sides by 8

k=1

Therefore, the constant of proportionality, k= 1 mile per minute

Answer:

Below

Step-by-step explanation:

Volume of a cone = 1/3  pi  r^2 h

      4125 pi             = 1/3 pi r^2 h

                       4125  = 1/3 r^2 h  <===if diameter =30  then radius = 15 units

                         4125 = 1/3 (15)^2 h

                            4125 / (1/3 * 15^2) = h = 55 units

Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as

Thus,

Substitute the above value into equation 1, to solve for PV

Hence, the sum to be invested is 31117.21

Ok the first thing we have to do is calculate the approximate values of each number's probability. That probability tells how often will the dice land on a certain number. To approximate it you have to divide every frequency by the total amount of times the dice was tossed. Let's do that for every number:

Now we can solve the question. For example if you want to know how many times the dice is expected to land on 4 you just need to multiply the probability for that number, which I called P(4), for the total amount of times the dice was tossed, which are 180 times:

And that's the answer for a.

For item b we need to make more operations. We are being asked how many times the dice is expected to land on a number greater than 3. For this we'll have to use the probability for all the numbers on the dice that are greater than 3: 4, 5 and 6. We'll need to add all these probabilities and multiply the result od that sum by 180:

Since 92.88 isn't a whole number we round it to 93 and that's the answer for item b.

We can repeat our calculations for item c but using the probabilities of the even numbers instead. Said numbers are 2, 4 and 6:

Rounding 83.88 we have 84, the solution to item c.

Answer:

\( \longmapsto(x - 1)(2x + 3) \\ = 2 {x}^{2} + 3x - 2x - 3 \\ = \boxed{2 {x}^{2} + x - 3}\)

Answer:

pata nai pata nai pata nai

Answer:

3n -4 = -19

n = -5

Step-by-step explanation:

3n -4 = -19

3n = -15

n = -15/3

n = -5

To determine the 95% energy bandwidth (B) of the signal g(t) = [0.5sinc²(0.5 t) cos(2 t)], we can apply Parseval's Theorem. Parseval's Theorem states that the total energy of a signal in the time domain is equal to the total energy of the signal in the frequency domain. Mathematically, it can be expressed as:

∫ |g(t)|² dt = ∫ |G(f)|² df

In this case, we want to find the frequency range within which 95% of the energy of the signal is concentrated. So we can rewrite the equation as: 0.95 * ∫ |g(t)|² dt = ∫ |G(f)|² df

Now, we need to evaluate the integral on both sides of the equation. Since the given signal is in the form of a product of two functions, we can separate the terms and evaluate them individually. By applying the Fourier transform properties and integrating, we can find the value of B.

For part (b), when we consider g(2t), the time domain signal is compressed by a factor of 2. This compression results in a corresponding expansion in the frequency domain. Therefore, the 95% energy bandwidth of g(2t) will be twice the value of B determined in part (a). This can be justified by considering the relationship between time and frequency domains in Fourier analysis, where time compression corresponds to frequency expansion and vice versa.

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Answer:

Equation:

3(x + 4) = 4x

Solution:

x = 12

Step-by-step explanation:

These two shapes are rectangles. The area of a rectangle is:

Area = length×width

Area of the first rectangle is:

Area = 3(x+4)

The area of the second rectangle is:

Area = 4x

They asked us to make these two areas equal to each other.

3(x + 4) = 4x

To solve, use distributive property.

3x + 12 = 4x

subtract 3x from both sides.

12 = x

If x is 12 the first rectangle is a 3 × 16 rectangle. The area is 48.

And, the second rectangle is a 4×12 rectangle. So that area is also 48.

When x = 12, the areas are the same.

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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If the price elasticity of demand for commuter rail is less than 1, in order to raise revenue to cover the rising cost of providing commuter train service, the authority would:
A. increase the fare for commuters

This is because a decrease in price would not lead to a significant increase in demand, so the authority cannot rely on attracting more commuters. However, providing more frequent trains could potentially increase demand and revenue, but this would also increase the cost of providing the service. Providing fewer numbers of trains would lead to a decrease in demand and revenue.

When the price elasticity of demand is less than 1, it means that the percentage change in quantity demanded is less than the percentage change in price. Therefore, an increase in price will result in a smaller decrease in the quantity demanded. This implies that commuters are less sensitive to changes in fares and are willing to pay more to use the service. Hence, increasing the fare will result in higher revenue for the authority, which can be used to cover the rising cost of providing the service.

Alternatively, decreasing the fare or providing less number of trains would lead to a decrease in revenue for the authority, which would exacerbate the issue of covering the rising cost of providing the service. Providing more frequent trains may attract more commuters, but it would also increase the cost of providing the service. Therefore, increasing the fare is the best option for the authority to generate more revenue and cover the cost of providing commuter train service.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The joint PDF of X and Y is positive with a value of 1 in a triangular region in the first quadrant. This region has an area of 1, representing the total probability within it.

The joint PDF of X and Y is positive, with a value of 1, in a triangular region in the first quadrant with an area of 1.
1. The joint PDF describes the probability distribution of two random variables, X and Y, simultaneously.
2. In this case, the joint PDF has a value of 1 in a triangular region in the first quadrant.
3. The triangular region has an area of 1, meaning the total probability in that region is 1.

Therefore, the joint PDF of X and Y is positive with a value of 1 in a triangular region in the first quadrant. This region has an area of 1, representing the total probability within it.

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Answer:

70.13

Step-by-step explanation:

Answer:

it would be 70 kilometers

Answer:

Remainder=35.25

Quotient = 2x²+8x+10.7

The statement is true. If a matrix has a characteristic polynomial of degree n, then it means that it has n eigenvalues, some of which may be repeated.

The determinant of a matrix is equal to the product of its eigenvalues. If any of the eigenvalues are 0, then the determinant is also 0, meaning the matrix is not invertible. In this case, the characteristic polynomial has degree 4, meaning there are four eigenvalues. If we assume that the matrix a is invertible, then all of its eigenvalues are nonzero, which would mean that the determinant of a is nonzero. However, the characteristic polynomial evaluated at λ=0 is 0, meaning that at least one of the eigenvalues is 0, which contradicts the assumption that the matrix is invertible. Therefore, the statement is true.

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Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

Answer:

\(y = \frac{w}{h - 5c^{3}}\)

Step-by-step explanation:

separate y from everything

\(w = y(h - 5c^{3})\)

now divide everything by the thing in the parenthesis

\(\frac{w}{h - 5c^{3}} = y\)

now flip it

\(y = \frac{w}{h - 5c^{3}}\)

that is your answer