Answer:
x=e³-5
Step-by-step explanation:
Solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.
We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians
So AB= 4 * 45* π/180 = π units
Answer:
1.83% probability there are no car accidents on that stretch on Monday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.
This means that 
What is the probability there are no car accidents on that stretch on Monday?
This is P(X = 0).


1.83% probability there are no car accidents on that stretch on Monday
Answers:
- cos(2theta) = -119/169
- cos(theta) = -5/13
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The given info is:
- sin(theta) = 12/13
- theta is in quadrant II
From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)

Other options you could use are these identities

or

Answer:
5:4
Step-by-step explanation:
The ratio would be
80:64 since there are 80 cars to 64 trucks.
You can simplify by dividing everything by 16.
5:4