Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
B) 0.1487
Step-by-step explanation:
Let 
be the discrete random variable that represents the number of events observed over a given time period. If follows a Poisson distribution, then the probability of observing 
events over the time period is:
Where:
So, the probability that exactly 5 bankruptcies occur next month is:
Well round to the nearest cent means to the nearest .01
So if the number is ex .0328
You round to .03
And if the number is ex .06831
You round to .07
Meaning if the number after .01 or .0_ is greater than 5 than you round up and if it's 4 or lower than you keep the number there
Sorry can't do much if this is an actual problem because you only said round to the nearest cent.
Common factor of 16 and 24 is 8
