I drew this by hand. sorry I it does not help.
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution
(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution
(1,-7)
-7=11(1)+4
-7=11+4
-7=15
-7 is not 15 ----not a solution
(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion
(-1, -7) & (2, 26) are solutions to the equation
Answer:
50
Step-by-step explanation:
The length of the midsegment is half the length of the base segment, so you have ...
... 2(6x +2) = 2x +84
... 10x = 80 . . . . . . . . . simplify, subtract 2x+4
... x = 8
The length of the midsegment is 6·8+2 = 50.
Answer:
Step-by-step explanation:
Straight angle is equal to 180°
Angle x, 60° and 80° form a straight angle.
<u>Then we have following equation to solve for x:</u>
- x + 60° + 80° = 180°
- x + 140° = 180°
- x = 180° - 140°
- x = 40°
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 
