In basketball, each shot made is worth 1, 2, or 3 points. Miles scored a total of 27 points in his most recent game. He made thr
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Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line: has a slope of
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is , we see that the negative reciprocal slope is
, as
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form: , where
is the point. In this case, (3, 1) is the point.
Thus, we have: as our final equation.
Simplifying:
And: , which gives us the y-intercept to be 5.
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Answer:
The length of the interval during which no messages arrive is 90 seconds long.
Step-by-step explanation:
Let <em>X</em> = number of messages arriving on a computer server in an hour.
The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.
The probability mass function of <em>X</em> is:
It is provided that in <em>t</em> hours the probability of receiving 0 messages is,
P (X = 0) = 0.76
Compute the value of <em>t</em> as follows:
Thus, the length of the interval during which no messages arrive is 90 seconds long.