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Andru [333]
3 years ago
13

The time that it takes to service a car is an exponential random variable with rate 1. (a) If Lightning McQueen (L.M.) brings hi

s car in at time 0 and Sally Carrera (S.C) brings her car in at time t, what is the probability that S.C.’s car is ready before L.M.’s car? Assume that service times are independent and service begins upon arrival of the car. Be sure to: 1) define all random variables used. 2) explain how independence of service times plays a part in your solution. 3) show all integration steps. (b) If both cars are brought in at time 0, with work starting on S.C.’s car only when L.M.’s car has been completely serviced, what is the probability that S.C.’s car is ready before time 2?
Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:I’m not really sure

Step-by-step explanation:

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3y-6=3x and y+2x=5 solve the system of linear equations by graphing PLEASE SHOW WORK​
Dmitry_Shevchenko [17]

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.

___

If you're graphing these by hand, there are a couple of strategies you can use. One is to make use of the intercepts of the line. For each of these, you need to rearrange the equation to a suitable form.

  <u>3y -6 = 3x</u>

To put this into "intercept form", put the variable terms on one side of the equal sign and the constant on the other. Then divide by the constant and express the resulting variable coefficients as denominators.

  3x -3y = -6

  x/(-6/3) +y/(-6/-3) = 1

  x/(-2) + y/2 = 1 . . . . . . The x-intercept is -2; the y-intercept is 2.

Plot the intercept points and draw a line through them.

  <u>y +2x = 5</u>

The intercepts for this one are found by dividing by 5:

  x/(5/2) + y/5 = 1 . . . . . . The x-intercept is 2.5; the y-intercept is 5.

The other strategy you can use for this one is to rearrange the equation to slope-intercept form and make use of those numbers.

  y = -2x + 5

The y-intercept is 5 (as we already found above), and the slope is -2. That means the line drops 2 units for each unit it goes to the right. Apart from the y-intercept, other points on this line will be (1, 3), (2, 1), (3, -1).

  <u>Solution</u>

When you plot these lines, you find they intersect at (1, 3). That is the solution to the system of equations, the values of x and y that satisfy both equations.

7 0
3 years ago
Explain the following terms: positive slope, negative slope, x-intercept, y-intercept &lt;&lt; Read Less
garik1379 [7]
Hello there!

A positive slope is represented in a linear equation by a positive coefficient behind the x term. A positive slope means that the graph is on an increasing interval as x approaches +∞. In a more simple way, a positive slope means that the graph is going up from left to right.

A negative slope is represented in a linear equation by a negative coefficient behind the x term. A negative slope means that the graph is on a decreasing interval as x approaches +∞. In a more simple way, a negative slope means that the graph is going down from left to right.

The x intercept(s) of a graph are where the graph touches the x-axis. These are also known as the zero(s) OR solution(s) of the function.

The y intercept(s) of a graph are where the graph touches the y-axis.

I hope this helps!
Best wishes:)

7 0
3 years ago
Pls help help help help​
laiz [17]
K= 13t-2
= 13(2)-2
=26-2
K=24
6 0
3 years ago
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
Dima020 [189]

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

5 0
3 years ago
Estimate each sum or difference. <br><br> 358+293=
VikaD [51]

Answer:

the exact answer would be 651

Step-by-step explanation:

if you were to estimate I would say you should probably round up to 700

3 0
3 years ago
Read 2 more answers
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