Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.
Step-by-step explanation:
The answer is 145 divided by tan 65 degrees.
Since the equation for tangent is opposite/adjacent, you can just plug the numbers in.
tan(65)=145/x (x being the height that you are trying to find)
tan(65) * x = 145
Then divide tan(65) to isolate the x and you get:
145/tan(65)
Hope this helps!
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Answer:
The value of the bond when Tyler's mom purchased it was $150
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem
r=4%=4/100=0.04
b=1+0.04=1.04
substitute

where
x is the number of years since the savings bond was purchased
f(x) is the value of the savings bond
For x=1
f(x)=$156
substitute

Solve for a


therefore
The value of the bond when Tyler's mom purchased it was $150