Answer:
the answer is 6
Step-by-step explanation:
2x + 9 = 21
2x = 21 - 9
2x = 12
x = 6
Let G be the granola we need (in pound)
Let N be the nut we need (in pound)
Trail mix cost $5.00 per pound---> cost for 7 pound = 5 x 7 = $ 35
4.5G+7N= 35
G+ N = 7
Therefore G = 5.6 N=1.4, we would need 5.6 pound granola & 1.4 pound nut
Answer: a = 40, b = 50, c = 115
Solution:
a = 40 (the vertical angles are equal)
b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)
c = 180 - 65 = 115 (the linear theorem)
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 
