Answer:
Step-by-step explanation:
The initial number of cells = 100 and it doubles every hour.
Let the exponential function be
In 1 hour, A = 2P
Therefore, the model of the given situation is given by
Evaluate the expression if a = 3, b = 5, and c = 6. c^2 + 3a × b
1 answer:
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If the series is
then it is geometric, which we know converges as long as the base is smaller than 1 in absolute value, i.e.
. "Expanding" the absolute value, this is equivalent to
When
is in this interval, the geometric sum converges to
then it is geometric, which we know converges as long as the base is smaller than 1 in absolute value, i.e.
When
Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) = ;
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [ ] - [
]
we substitute
= [ ] - [
]
= [ ] - [
]
= [ ] - [
]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378