Answer:
36 most likely
Step-by-step explanation:
4, 8, 16, 32, 64 is a pattern. You multiply by 2 to get the next term. I would think 36 doesn't belong for this reason.
Let x be the <span>length of each of two congruent sides.
</span>The triangle will be аcute if:
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657
So, the smallest possible length of one of two congruent sides have to be 5.7 cm (<span>to the nearest tenth)</span>
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:
8
Step-by-step explanation:
First find all factors of 72 and 64 and put them in their respective circles
The factors of 72: 1,2,3,4,6,8,9,12,18,24,36,72
The factors of 64: 1,2,4,8,16,32,64
Now find the factors that both numbers share.
Common factors: 1,2,4,8
The greatest common factor of 72 and 64 is 8.