Answer:61.3
Step-by-step explanation:
Using the Law of Sines, you get this formula
sin(angleA)=(a*sin(angleB))/b
sin(angleA)=(14*sin(70)/15)
sin(angleA)=(.88)
angleA=sin-1(.88)
angleA=61.3
Answer:
A. r = -0.93
Step-by-step explanation:
First, if there is a negative correlation, the correlation coefficient will be negative.
This eliminates answer choices C and D, which are positive.
If there is a strong correlation, the correlation coefficient will be closer to 1, or -1 (since the correlation is negative).
Since -0.93 is closer than -0.23 to 1, it has a stronger correlation.
So, the correct answer is A. r = -0.93
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
17/12 = 1 5/12
21 17/12 = 22 5/12