Answer:
The probability that the instrument does not fail in an 8-hour shift is
The probability of at least 1 failure in a 24-hour day is
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is
Answer:
Step-by-step explanation:
a 6(m+3)
b expression
equation
Part 1:
A and B are already in lowest terms
C 3/8
D 7/9
Part 2:
A 5 * 11
B 3 * 3 * 3
C 2 * 2 * 3 * 5
:)))
Answer: She has 27 quarters.
Step-by-step explanation:
Let be "d" the number of dimes Marcy has and "q" the number of quarters Marcy has.
Based on the information provided in the exercise, we can set up the following system of equations:
<em> </em>In order to solve the system of equations, we can use the Elimination method:
- Multiply the first equation by -0.1
- Add the equations.
- Solve for "q".
Then:
Answer: 60 degrees
Step-by-step explanation:
Since we know that the sum of the angles in a triangle is 180 degrees, that means x + x+ x = 180.
3x = 180
x = 60.
Another way we could figure out that x = 60 was by realizing that this is an equilateral triangle, which means each angle must = 60 degrees.