Step-by-step explanation:
264k
= 2³ * 3 * 11 * k
Hence, k = 2 * 3 * 11 = 66.
144x12= 1728
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I think it's D. 58 because The triangle has a right angle (90 degrees), so all you have to do is subtract 32 from 90.
Answer: D. 58 degrees
Note that 49b^2 - 256 = 0 is the difference of two squares. Thus, 49b^2 - 256 = 0 can be re-written as
(7b)^2 - 16^2 = 0, which factors into (7b+16)(7b-16)=0.
Solving for b: 7b+16=0 becomes b = -16/7, and
7b-16=0 becomes b = 16/7.
As expected, this 2nd order equation has 2 solutions.
The ratio of false positives to false negatives is (d) 3.5
<h3>How to determine the ratio?</h3>
The table of values is given as
Activates. Does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
The false negative is when there is lighting and it does not activate
So, we have
False negative = 2%
The false positive is when there is no lighting and it activates
So, we have
False positive = 7%
When represented as ratio, we have
Ratio = 7% : 2%
So, we have
Ratio = 7 : 2
This gives
Ratio = 7/2
Evaluate
Ratio = 3.5
Hence, the ratio is (d) 3.5
Read more about ratio at
brainly.com/question/2784798
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