Answer:
No
Step-by-step explanation:
Using this method, each group of 60 players do not have the same chance of being selected.
Also with this method, the selection will not be uniformly distributed among the 30 teams. Some teams will have more players, some will have few and some will have no player selected at all.
Answer:
negative, it'll be negative 2
Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks
Answer:
110.5348 minutes
Step-by-step explanation:
The difference from room temperature changes from 103 to 59 in 46 minutes, so that difference can be modeled by the exponential equation ...
Δt = 103×(59/103)^(t/46)
We want to find t for the temperature difference Δt = 91 -64 = 27.
27 = 103×(59/103)^(t/46)
27/103 = (59/103)^(t/46) . . . . . divide by 103
Taking logs gives the linear equation ...
log(27/103) = (t/46)log(59/103)
Multiplying by the inverse of the coefficient of t, we get ...
t = 46·log(27/103)/log(59/103) ≈ 46·(-0.58147346)/(-0.24198521)
≈ 110.5347
It will take about 110.5347 minutes for the turkey to cool to 91 °F internally.
_____
<em>Comment on 4 decimal places</em>
An answer correct to 4 decimal places (7 significant digits) is a pretty good indication that the problem was worked correctly. However, that level of precision in the timing makes little sense in this context. Most thermometers will take at least a few seconds to register the temperature to within a tenth of a degree or so. This problem is asking for an answer that is within 6 milliseconds and 30 micro-degrees. Neither of these is anywhere near realistic for a kitchen meat thermometer.
More realistic would be an answer to 4 <em>significant figures</em>, a tenth of a minute and a few hundredths of a degree.
(The rate of change at the time of interest is about -0.33 degrees per minute.)