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 
The slope of the line is -1
the equation would be y = -1x
Marie states that any integer greater than 4 will always get an even number of factors.
This can be proven wrong by (for example) 12.
12 has these factors:
1 x 12
2 x 6
3 x 4
12 has an ODD number of factor pairs.
Another example is 28.
28:
1 x 28
2 x 14
4 x 7
28 has an odd number of factor pairs.
I hope this helps!
Answer:
The equation is 
whose solution is 
Step-by-step explanation:
Let us call 
the number of minutes the phone is used over 200 minutes, then we have
<em>(this says monthly bill of $40 plus the cost of phone usage over 200 minutes must equal $58 )</em>
This equation can be used to solve for u as follows:
Answer:
T = 7.5
Step-by-step explanation:
One table = 4 students
? table = 30 students
To get the answer we criss-cross
30 * 1 = 4T(amount of table)
4T = 30
T = 30/4
T = 7.5
There should be 8 tables but the last table has 2 people sitting on it rather than 4.
