how to solve 4-2(a-1)=3+a

Answer:

(3,-12)

x = 3, y = -12

Step-by-step explanation:

(1) y=x-15

(2) y=-4x

solve equation (1) for x:

add 15 to both sides

x=y+15

plug in x=y+15 into equation (2):

y=-4(y+15)

y=-4y - 60

5y = -60

y = -12

plug in y=-12 into equation (2):

-12 = -4x

3 = x

Answer:

30%, or 1/3

Step-by-step explanation:

If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.

Hope this helps! :)

Answer:

i dont see it-

Step-by-step explanation:

Step-by-step explanation:

ok but what's the question

Answer:

A

Step-by-step explanation:

(x+yi)+(2(x+yi)+3i)=9

x+yi+2x+2yi+3i=9

3x+3yi+3i=9+0i

equating real and imaginary parts

3x=9,x=9/3=3

3y+3=0

3y=-3

y=-3/3=-1

x+yi=3-i

Answer:

92.5

Step-by-step explanation:

you would add 90+95 which is 185 then divide that by 2 to get ur answer

a) The probability that the bank is empty is approximately 0.0026.

b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.

To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.

Given information:

Arrival rate (λ) = 12 customers per hour

Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)

(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:

P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)

where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).

ρ = (12 customers/hour) / (4 customers/hour/teller) = 3

Substituting ρ = 3 into the formula, we have:

P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026

Therefore, the probability that the bank is empty is approximately 0.0026.

(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.

L = λ * W

W = L / λ

Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:

W = L / λ = (ρ / (1 - ρ)) / λ

W = (3 / (1 - 3)) / 12 ≈ -0.25

Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.

(c) The average number of customers in the bank (L) can be calculated as:

L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5

Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.

(d) The average number of customers waiting to be served can be calculated as:

\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)

Substituting ρ = 3, we have:

\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9

Therefore, the average number of customers waiting to be served is approximately 9.

For more about probability:

brainly.com/question/31828911

#SPJ4

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

To know more about the discrete probability distribution , here

https://brainly.com/question/28197859

#SPJ4

The graph for the question is attached.

Answer:

Yemen was a poor country with a government widely acknowledged to be corrupt, with a large amount of weapons in private hands. By 2011, the country was already facing challenges from al Qaeda-linked militants and separatists in the south and Zaydi Shia rebels in the north.

The maximum rate of change always occurs in the direction of the gradient.

The directional derivative of a function f(x, y) in the direction of a unit vector v = ⟨a, b⟩ is defined as follows:

D_vf(x, y) = ∇f(x, y) · v

∇f(x, y) represents the gradient vector of f(x, y), which is defined as ∇f(x, y) = ⟨∂f/∂x, ∂f/∂y⟩. It is a vector that points in the direction of the steepest ascent of the function at a given point (x, y).

v = ⟨a, b⟩ is the unit vector that determines the direction in which we want to compute the derivative.

To show why the maximum rate of change of a function always occurs in the direction of the gradient, we can use the definition of the directional derivative.

Let's consider the dot product ∇f(x, y) · v, where v is a unit vector:

∇f(x, y) · v = ||∇f(x, y)|| ||v|| cosθ

In this equation, ||∇f(x, y)|| represents the magnitude (or length) of the gradient vector, ||v|| is the magnitude of the unit vector v (which is 1), and θ is the angle between ∇f(x, y) and v.

Since ||v|| = 1, the equation simplifies to:

∇f(x, y) · v = ||∇f(x, y)|| cosθ

The maximum value of the cosine function is 1, which occurs when the angle θ between the vectors is 0° (or when they are parallel). In this case, cosθ = 1, and the equation becomes:

∇f(x, y) · v = ||∇f(x, y)||

Therefore, the maximum rate of change of the function f(x, y) occurs when the angle between the gradient vector ∇f(x, y) and the direction vector v is 0°, or when they are parallel. In other words, the maximum rate of change happens when we move in the direction of the gradient.

This result is intuitive since the gradient vector points in the direction of the steepest ascent of the function. Moving in the direction of the gradient allows us to maximize the rate of change of the function at a given point.

If we were to move in a different direction, the dot product would be smaller than the magnitude of the gradient vector, resulting in a slower rate of change.

Therefore, the maximum rate of change always occurs in the direction of the gradient.

To know more about  maximum click here :

https://brainly.com/question/17019148

#SPJ4

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

You bought 8 stamps that cost 45 cents each and 2 stamps that cost 30 cents each.

Let's assume you bought x stamps that cost 45 cents each and y stamps that cost 30 cents each.

From the given information, we can create two equations:

The total number of stamps is 10: x + y = 10.

The total cost is $4.20: 45x + 30y = 420 (since the cost is given in cents).

Now we can solve this system of equations to find the values of x and y.

We can multiply the first equation by 30 to eliminate y:

30x + 30y = 300.

Now we have a system of equations:

30x + 30y = 300,

45x + 30y = 420.

Subtracting the first equation from the second equation, we get:

45x + 30y - (30x + 30y) = 420 - 300,

15x = 120,

x = 120/15,

x = 8.

Substituting the value of x back into the first equation:

8 + y = 10,

y = 10 - 8,

y = 2.

Therefore, you bought 8 stamps that cost 45 cents each and 2 stamps that cost 30 cents each.

Learn more about equation,

https://brainly.com/question/29174899

#SPJ11

Your question is incomplete. Please read below to find the complete questin.

B. Sampling error is the inevitable result of running statistical inference on a random sample rather than on an entire population.

A sampling mistake is a statistical blunder that occurs when an analyst does now not pick out a sample that represents the entire population of records. As a result, the outcomes found in the pattern no longer constitute the outcomes that would be received from the entire population.

Sampling error takes place when a sample is chosen from the incorrect populace statistics. Non-reaction errors occur when a user reaction is not received from the surveys. it can happen because of the incapacity to contact capability respondents or their refusal to respond.

The maximum generally used measure of sampling errors is referred to as the same old errors (SE). the standard error is a measure of the spread of estimates across the "true fee". In exercise, only one estimate is available, so the same old blunders can not be calculated at once.

What is the inevitable result of running statistical inference on a random sample rather than on an entire population?

A. Standard deviation

B. Sampling error

C. Sampling distribution

D. Stratified sampling

Learn more about the Sampling error here https://brainly.com/question/28008941

#SPJ4

Answer:

Step-by-step explanation:

pls mark brainliest if correct :)

Answer:

Inequality Form: x > − 122 /99

Interval Notation: ( − 122/ 99 , ∞ )

Step-by-step explanation:

Answer:

is this answer correct?

let me know in comment section below!

Step-by-step explanation:

hope you liked it!

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

For a right triangle, use the Pythagorean Theorem.

The length of a triangle’s third side must always be between (but not equal to) the sum and difference of its other two sides. Take, for example, the numbers 2, 6, and 7. As a result, the length of the third side must be larger than 4 but less than 8.

Use the Pythagorean Theorem to get the area of a right triangle. Use the area formula for an isosceles triangle to calculate the area of an isosceles triangle. Use the law of cosines or the law of sines if you know some of the angles and other side lengths.

To learn more about  length of the third side to refer:

https://brainly.com/question/30302672

#SPJ1

Answer:

2341

Step-by-step explanation:

Answer:

2 Evaluate Take this to prepare for the final quiz in the Evaluate module of this ... Choose all of the numbers below which are common denominators of the 5 7 ... by using the distributive property and combining like terms: x (3 + y ) (5x x ) + 6x y . 5. ... Use the FOIL method to find: (x + 3xy)(3x 3 y ). Use a pattern to find: (x 3y) 3 .

Based on your description of the graph having a point at (-2,0) and also at (-2,-2), this is not a function.

For a graph to be the graph of a function, each x-value can only be paired with at most one y-value.  In other words, you cannot have two points with the same x-value.

Answer:

No, because of each input there is not exactly one output.  

Step-by-step explanation:

The input -2 has two outputs: 0 and -2

Helping in the name of Jesus.

The given differential equation is not linear because it involves the product of x and t. However, it is separable, and we can integrate both sides to find the solution.

The given equation is 9xt(dx/dt) = e^x. To determine whether this equation is separable, linear, or both, we need to rearrange it into a standard form.

Dividing both sides by 9xt, we get:

(dx/dt) = e^x / 9xt

This equation is not linear because it involves the product of x and t in the denominator. However, it is separable because we can separate the variables x and t by writing the equation as:

9xt(dx/dt) = e^x

9x dx = e^x dt/t

Integrating both sides, we get:

4.5x^2 = ln|t| + C

where C is the constant of integration.

Therefore, the given equation is separable but not linear.

know more about differential equation here: brainly.com/question/33433874

#SPJ11

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

To learn more about the  exponential function from the given link

https://brainly.com/question/2456547

#SPJ4

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

Learn more about Annuity

brainly.com/question/23554766

#SPJ11

Answer:

It would be 300 times as large because you would divide them.

Step-by-step explanation:

There would be 4 remaining secret codes.

If an initial guess of three different colors is scored with two white key pegs, it means that two of the guessed colors are correct but not in the correct positions.

To determine the number of secret codes that remain, we need to consider the remaining possibilities.

Let's assume there are six different colors available for the secret code.

For the two colors that are correctly guessed but not in the correct positions, there are two possible positions for each color.

So, we can calculate the number of remaining secret codes using the formula:

Remaining secret codes = (Number of colors - Correctly guessed colors)^(Number of positions - Correctly guessed positions)

In this case, the number of remaining secret codes would be:

Remaining secret codes = (6 - 2)⁽³⁻²⁾ = 4¹ = 4

The complete question is:

The Number of colors is 6 and If an initial guess of three different colors is scored with two white key pegs, how many secret code remain?

To know more about codes:

https://brainly.com/question/30904572

#SPJ4

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

It is not possible to fill the rectangular prism with 6,750 cubes. Therefore, we disagree with Kiran's statement.

First, we need to calculate the volume of the rectangular prism and compare it with the total volume of the cubes.

The volume of the rectangular prism is:

V = l x w x h = 5 in. x 2 in. x 5 2/5 in. = 53 1/3 cubic inches

Each cube has an edge length of 1/5 in., so its volume is:

v = (1/5 in.)^3 = 1/125 cubic inches

To fill the rectangular prism with cubes, we need to find the total volume of the cubes:

Comparing V_cubes with the volume of the rectangular prism, we have:

So, it is not possible to fill the rectangular prism with 6,750 cubes.

Therefore, we disagree with Kiran's statement.

Learn more about volume here : brainly.com/question/12410983

#SPJ1