Answer:
The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
Step-by-step explanation:
The formula for D, the difference in temperature between the pan and the room after t minutes is:
Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:
Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:
D = P - R
206.59 = P - 69
P = 206.59 + 69
P = 275.59°F
Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is
Thus, the probability that at least one of the systems detect the theft is
That means a 99.93%
Answer:
Irregular polygons are polygons that do not have equal sides or equal angles. When finding the area of an irregular polygon, partition the polygon into smaller regular polygon shapes. You can then plug those measurements into their respective area formulas and multiply to find the area of one part of the shape.
This is 16cm.
