Which values are solutions to the inequality -3x-4<2?
2 answers:
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Answer:
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years
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
is the Euler number
is the mean in the given time interval.
According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.
One earthquake each 100/5 = 20 years.
What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?
40 years, so
This probability is P(X = 0).
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years
Answer:
see below
Step-by-step explanation:
For the HL theorem to be applicable, the hypotenuses must be the same length:
x+3 = y-1
and the marked legs must be the same length:
y-3 = 2x-1
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Recognizing y-3 = (y-1) -2, we can substitute into the second equation using the first equation:
(y -1) -2 = 2x -1
(x +3) -2 = 2x -1 . . . substitute for y-1
2 = x . . . . . . . . . . add 1-x to both sides
Then the first equation tells us ...
x+4 = y = 2+4 = 6
The values of x and y are ...
x = 2, y = 6
Answer:
Option E:
Step-by-step explanation:
You need to remember that the perimeter of a rectangle can be calculated with the following formula:
Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
In this case, you can identify from the figure that:
So, knonwing this, you can write the following expression to represent the perimeter of the rectangle:
The final step is to simplify the expression. Then you get:
This matches with the Option E.