Answer:
Step-by-step explanation:
Area of a triangle = 1/2 base x height
I hope I helped you^_^
The function after the reflection is f'(x) = -3 + |-x - 11|
<h3>How to determine the function after the reflection?</h3>
The function is given as:
f(x) = -3 + |x - 11|
The function after the reflection across the y-axis is represented as:
f'(x) = f(-x)
So, we have:
f(-x) = -3 + |-x - 11|
This gives
f'(x) = -3 + |-x - 11|
Hence, the function after the reflection is f'(x) = -3 + |-x - 11|
Read more about function transformation at:
brainly.com/question/1548871
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Answer:
The Pythagorean theorem should help you out. Since you already know two sides of the triangle, you can do a^2 + b^2 = c^2
So in this problem, 16.5^2 + 9.2^2 =
272.25 + 84.64 = 356.89
Pasty you would take the square root of 356.89 and you would get x = 18.89 or 18.9 rounded to the nearest tenth
You can check your work by the Pythagorean theorem once more. 16.5^2 + 9.2^2 = 18.9^2 and you should get the same approximate answer (it will be a little bigger because you rounded)
Juan’s lunch would have costed less if he paid separately. his lunch is 5.25
the bill 37.20
37.20 / 5
$7.44 each kid
7.44 - 5.25 = 2.19
$2.19 less if he paid separately
Answer:
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
Solution to the problem
For this case the time between breakdowns representing our random variable T is exponentially distirbuted
So on this case we can find the value of like this:
So then our density function would be given by:
The exponential distribution is useful when we want to describe the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time between two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:
And on this case we are looking for this probability: