automatic machines are serviced by a singale repairperson. If at time t, a ma- chine is working, the probability that it will break down in (t,t +) is 18 + 08). A machine which breaks down is serviced immediately unless the repairperson is servicing another machine in which case the break down machines form a waiting line for service. The time it takes a repairperson to repair a machine is exponentially distributed with mean 1/u. Let Xt be the number of machines NOT working at time t. (a) Show that {X{}t>o is a continuous homogenerous MC satisfying the Basic As- sumption and find the Q-matrix. (b) Find the long run probability dist (limit dist) of Xt. (c) Find the stationary dist of Xt. (d) Find the maximum ratio of /u so that the proportion that no marchines work at time t is less 0.05 in the long run.

Answer:

so i do not have that many resources like how fast she can read, how many pages there are, and how many words are on the page

Step-by-step explanation:

if she is and older person than i can say 25 pages in 13 or 14 minutes but if she is younger than i can say 20 or 22 minutes i hope this helps with your problem

A domain restriction placed on a non-invertible function affect its inverse.

Using inverse function concepts, it is found that:

The inverse of the function is \(y = \sqrt{x+3}-1\), and the domain of the inverse function is \(\left[-3,\infty ]\)

   A function will have an inverse if for each output, there is only one respective input.

   The domain of the inverse is the range of the original function.

The function given is:

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

   It's range is \(\left[-3, \infty]\), which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

\(y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1\)

The inverse of the function is \(y = \sqrt{x+3} -1\), and the domain of the inverse function is \(\left[-3, \infty]\).

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Answer:

I think its the one on the bottom right

Step-by-step explanation:

Answer:

bottom right is the answer i think

Answer:

\(1 \times { 10}^{ - 9} m\)

Step-by-step explanation:

It can be written in scientific notation as \(1 \times { 10}^{ - 9} m\),

Answer:

a) 1 nm = 0. 000 000 001 m

b) 1 nm = 1×10⁻⁹ m

The computation illustrates that the rebate fraction is 0.18

Given that : the total number of payments = 36

The number of payments made = 21

Remaining payments = 36-21 =15

We know that the sum of the digits for n payments

S = (n(n+1))/2

sum of the digits payments remaining = 15*(15+1)/2

= (15*16)/2

= 240/2

= 120

Sum of the digits number of payments = 36*(37)/2

= 1332

= 666

Rebate fraction = 120/666 =0.18

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Complete question

Calculate the missing information for the installment loan that is being paid off early.

Number of payment = 36

Payment made = 21

Payment remaining = ?

Rebate fraction = ?

Answer:

<1 and <3 are vertical angles and  <2 and <4 are vertical angles

Step-by-step explanation:

Hope this helps. pls mark me brainliest.  :)

Answer:

2 and 4 are vertical angles

Step-by-step explanation:

Answer: The figure needs to be translated 3 points to the right and 1 point down.

Step-by-step explanation:

What is a translation?

A translation is where a figure on the coordinate plane moves from one point to another.

 How To Solve

simply count the points on the graph. we can see that if we take one point in figure B, for example, (-2,1), and count until we get to the figure mentioned in question 5, (1,0) we can see that the exact point was 3 right and 1 point down for the figure in question #5. You can also take the similar points of the figures and see the change in the x and y, for example, in (-2,1) and (1,0) we can see that -2 goes to 1, so that is an increase of three, and if we look at 1 and zero, the change in the y is a decrease. y goes vertical, so it can only go up and down. From the data, we know that it went down 1, which was a negative change. We know negative means decreasing, so it went down. the x goes horizontal, so that means it can only go right to left. an increase on the x plane means we are going right, so we go right 3.

(sorry i took so long)    

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Statements is TRUE

Based on the graph of the general solution to the differential equation dy over dx equals 2 times x - 2 times y = dy/dx=2x-2y.

A differential equation's solution is an expression for the dependent variable in terms of one or more independent variables that satisfy the relationship.

The statement which is true is the slopes are all positive in quadrant I.

Given the differential equation is dy/dx=2x-2y

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

Given dy/dx=2x-2y

now slope=2x-2y

Along x-axis, y=0. So, slope=2x+0.

Since it depends upon x hence the slope along the y-axis are not horizontal.

Along y-axis, x=0. So, slope -2y+0.

The slope along the x-axis are also not horizontal.

In quadrant I:

x,y≥20

So, dy/dx ≥20

Therefore, the slopes are all positive in quadrant I. In quadrant IV,

x≥0,y≤0

so, dy/dx is not always positive.

The slope are not all positive in quadrant IV:

Therefore, the slope are all positive in quadrant I for the differential equation dy/dx=2x-2y.

General solution to the differential equation =

dy/dx=2x-2y.

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Complete Question:

Based on the graph of the general solution to the differential equation dy over dx equals 2 times x plus y comma which of the following statements is true?

The slopes along the y-axis are horizontal.

The slopes along the x-axis are horizontal.

The slopes are all positive in Quadrant 1.

The slopes are all positive in Quadrant 4.

Answer:

In 5 complete rotations it will go 7.85 m.

Step-by-step explanation:

Diameter = O.5 m

Clare: 5/(2 x 3.14) = 0.795 m

Andre: 5/(4 x 3.14) = 0.397

C = 3.14 x 0.5 = 1.57 x 5 =7.85m

Answer:

150-200

Step-by-step explanation:

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

2 if x=2

Step-by-step explanation:

This form of the equation is useful because it shows that any periodic function of time can be represented as a sum of sine and cosine functions with different amplitudes and phases.

We can show that acos(wt) + bsin(wt) can be written in the form Rsin(wt + φ) where R and φ are constants and R is the amplitude of the wave.

Using the trigonometric identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b), we can write:

acos(wt) + bsin(wt) = R(sin(wt+φ)),

where R = √(a^2+b^2) and φ = tan⁻¹(b/a).

To see how this works, we can use the values of a = 3 and b = 4 as an example:

acos(wt) + bsin(wt) = 3cos(wt) + 4sin(wt)

R = √(a^2+b^2) = √(3^2 + 4^2) = 5

φ = tan⁻¹(b/a) = tan⁻¹(4/3)

So we can rewrite the equation as:

acos(wt) + bsin(wt) = 5sin(wt + tan⁻¹(4/3))

This form of the equation is useful because it shows that any periodic function of time can be represented as a sum of sine and cosine functions with different amplitudes and phases. It is also helpful in analyzing the properties of waves, such as their amplitude and frequency.

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The definite integral evaluates to -17.

The definite integral -2 ſa (x - 1)(4x + 6) dx from 0 to 2 can be evaluated by applying the rules of integration. In the first step, we expand the integrand using the distributive property, which gives us -2 ſa (4x^2 + 2x - 4x - 6) dx. Simplifying further, we have -2 ſa (4x^2 - 2x - 6) dx. Next, we integrate each term separately. The integral of 4x^2 with respect to x is (4/3)x^3, the integral of -2x is -x^2, and the integral of -6 is -6x. After finding the antiderivatives, we evaluate the integral from 0 to 2 by subtracting the value of the antiderivative at the lower limit (0) from the value at the upper limit (2). Substituting the values, we get (-2/3)(2^3) - 2(2^2) - 6(2) - [(-2/3)(0^3) - 2(0^2) - 6(0)]. Simplifying further, we have (-2/3)(8) - 2(4) - 12 - 0, which results in -17.

To evaluate definite integrals, we use various techniques such as the power rule, linearity of integration, and substitution method. The power rule allows us to find the antiderivative of terms involving polynomials by raising the power by one and dividing by the new exponent. Linearity of integration allows us to integrate each term of a sum or difference separately. The substitution method involves making a substitution to simplify the integrand and then applying the integration rules. Understanding these fundamental concepts and techniques of integration can help solve a wide range of definite integral problems.

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Answer:

6.5 miles

Step-by-step explanation:

If she travels 2 1/6 in 1/3 hours you would simply multiply by 3 because she would need to travel 2 1/6 miles three times in order for an hour to pass.

Kari will pay $96 in taxes.

Kari will pay 20% of the $48 interest earned, which is $96.

Kari earned $48 in simple interest on the $1,200 she deposited in a savings account last year. This amount is subject to taxes, which Kari must pay 20% of the interest earned. In this case, Kari will have to pay $96 in taxes on the interest she earned. This means that out of the $48 she earned in interest, she will have to give up $96 to the government in taxes.

Kari must pay $96 in taxes on the $48 in interest she earned on her $1,200 deposit.

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Answer:

it is increase

234-24 = 210

210/24=8.75 x 100

875%

Step-by-step explanation:

Answer:

(-7, 4)

Step-by-step explanation:

I checked on photomath

Answer:

7) x ≥ -3

8) x < -8

Explanation:

\(\sf -3(2x-7) \leq 39\)

distribute

\(\sf -6x + 21 \leq 39\)

relocate variables

\(\sf -6x \leq 39-21\)

simplify

\(\sf -6x \leq 18\)

dividing both sides by (-), changes the inequality sign

\(\sf x \geq -3\)

\(\sf 4x + 9 < x - 15\)

collect like terms

\(\sf 4x -x < - 15-9\)

simplify

\(\sf 3x < - 24\)

divide both sides by (+)3

\(\sf x < -8\)

The probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81%

The soft drink machine has a mean output of 2727 ounces per cup.

The machine's output is normally distributed with a standard deviation of 33 ounces.

We want to find the probability of the cup's volume falling between 2121 and 3030 ounces.

To solve this, we need to standardize the values using the z-score formula

z = (x - μ) / σ

where:

x is the desired value (2121 and 3030 ounces),

μ is the mean (2727 ounces),

σ is the standard deviation (33 ounces).

For the lower bound (2121 ounces):

z(lower) = (2121 - 2727) / 33

For the upper bound (3030 ounces):

z(upper) = (3030 - 2727) / 33

Now, we can look up the corresponding probabilities using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find the probabilities associated with the z-scores.

P(2121 < x < 3030) = P(z(lower) < z < z(upper))

Calculating the z-scores:

z(lower) = (2121 - 2727) / 33

z(lower) ≈ -1.8387

z(upper) = (3030 - 2727) / 33

≈ 0.9192

Using the standard normal distribution table, we can find the corresponding probabilities associated with these z-scores.

P(-1.8387 < z < 0.9192) ≈ 0.8181

Therefore, the probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81% .

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Answer:

C) multiply

Step-by-step explanation:

Hope this helps!!

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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The perimeter of the square is 52 units.

In this question,

the points (1, -2) and (-4, 10) are adjacent vertices of a square.

We need to find the perimeter of the square

The side length of a square is the distance between given two points.

Let a be the side length of the square.

\(a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13\)

The side length of the square is 13 units.

so, the perimeter of a square would be,

P = 4a

P = 4 × 13

P = 52 units

Therefore, the perimeter of the square is 52 units.

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Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

Refer to the attachment please :-)

After simplifying and reducing the given figures that are 1 year or 365 days and 240 days into ratio, the digits are 73:48.

A ratio divides two amounts into equal parts, with the dividend or antecedent serving as the unit of comparison and the divisor or unit of comparison serving as the unit of comparison.

A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit.

The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 for lemons, respectively. When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b.

An equation in which two ratios are made equal is known as a percentage. As per the given data,

1 year = 365 days

And there is 240 days also. After solving and reducing it to the simplest form, the calculations are-

365 / 240 = 73 / 48 or 73 : 48

Therefore, after simplifying and reducing the given figures that are 1 year or 365 days and 240 days into ratio, the digits are 73:48.

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Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Answer:

15 years

Step-by-step explanation:

Let x = Sanjay's present age.

Given information:

Create an equation with the defined variable and the given information:

⇒ 3(x - 4) = x + 18

Apply the Distributive Property of Subtraction:

⇒ 3(x) - 3(4) = x + 18

⇒ 3x - 12 = x + 18

Subtract x from both sides:

⇒ 3x - 12 - x = x + 18 - x

⇒ 2x - 12 = 18

Add 12 to both sides:

⇒ 2x - 12 + 12 = 18 + 12

⇒ 2x = 30

Divide both sides by 2:

⇒ 2x ÷ 2 = 30 ÷ 2

⇒ x = 15

Therefore, Sanjay's present age is 15 years.

The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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Answer: x=3 and y=4

Step-by-step explanation:

Rewrite equations:

x+3y=15;2x−2y=−2

Step: Solve x+3y=15 for x:

x+3y=15

x+3y+−3y=15+−3y(Add -3y to both sides)

x=−3y+15

Step: Substitute−3y+15 for x in 2x−2y=−2:

2x−2y=−2

2(−3y+15)−2y=−2

−8y+30=−2(Simplify both sides of the equation)

−8y+30+−30=−2+−30(Add -30 to both sides)

−8y=−32

−8y over −8 = −32 over −8

(Divide both sides by -8)

y=4

Step: Substitute 4 for y in x=−3y+15:

x=−3y+15

x=(−3)(4)+15

x=3(Simplify both sides of the equation)