The administrative assistant at a software company often provides breakfast when there is a morning meeting. For last week's sal
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Answer:
a) : at time t = 2 minutes the temperature will be 8.265 degress
b) : the temperature will be 6 degrees at time t = 3.55 minutes.
Step-by-step explanation:
When dealing with temperature changes, it's best to work with Newton's Law of Cooling.
here:
: the temperature in the room.
: ambient (or outdoor) temperature (that always remains constant, in our case:
)
: are constants
Our conditions are provided:
1)
2)
using the first condition
using the second condition:
we can use our calculated value of C to find k
Finally we can put these constants back in the main equation:
or
a) Reading after one more minute?
so it's asking:
T(2) = ?
Hence, after one more minute the temperature of the room will be 8.267 degrees
b) When will it be 6 degrees?
T(t) = 6?
Hence at t = 3.55 minutes the temperature of the room will be 6 degrees.
Solution :
a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.
Here, the landline phone service is p = 53.0%
n = 8
Therefore, q = 1 - p
= 1 - 0.53
= 0.47
here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.
b). Let x be the number of household in the sample group having landline phone service.
Probability that none of the household in the sample group have a landline service is
= P( x = 0)
= 0.002 (using the binomial calculation )
c). Probability that exactly 5 of the household in the sample have a landline service is given by :
P(x = 5)
= 0.24