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1). 3x-8 for x=5 2). 5(x+7)-1 for x = -3
1 answer:
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ANSWER
T(-2,1)
EXPLANATION
Let T(a,b) be the coordinates.
When this point is rotated 90° counterclockwise about the origin,
Then,
If this point is then translated using the rule;
then,
It was given that, T"(-2,5)
This implies that,
-b-1=-2
-b=-2+1
-b=-1
b=1
a+7=5
a=5-7
a=-2
Therefore the coordinates of T are:
(-2,1)
Answer:
(a) The probability of the event (<em>X</em> > 84) is 0.007.
(b) The probability of the event (<em>X</em> < 64) is 0.483.
Step-by-step explanation:
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.
The probability mass function of a Poisson distribution is:
(a)
Compute the probability of the event (<em>X</em> > 84) as follows:
P (X > 84) = 1 - P (X ≤ 84)
Thus, the probability of the event (<em>X</em> > 84) is 0.007.
(b)
Compute the probability of the event (<em>X</em> < 64) as follows:
P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)
Thus, the probability of the event (<em>X</em> < 64) is 0.483.