Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Answer: 
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.
We assume that the total number of days in a particular year are 365.
Then , the probability for each employee to have birthday on a certain day :

Given : The number of employee in the company = n
Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

Hence, the probability there is at least one day in a year when nobody has a birthday =
I need a little bit more detail in order to answer your question properly
Answer:
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Step-by-step explanation:
The answer is: "64 cubic inches" ; or, write as: "64 in³ " .
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Explanation:
V = L * w * h ;
= (4 inches) * (4 inches) * (4 inches) ;
(since a "cube" has the same length, width, and height)
= (4*4*4) inches * inches * inches) ;
= 16 * 4 * inches³ ;
= 64 inches³ ; or, write as: "64 in³ " ; or, write as: "64 cubic inches" .
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