Answer:
Step-by-step explanation:
it makes 253 copies in 5 mins 45 seconds
that is to say, 253 copies in 345 seconds
In 1 minute (60 seconds) it will make X copies.
Lets draft an equation to easily express and simplify the problem.
253 copies = 345 seconds
X copies = 60 seconds
lets cross multiply and solve for X
Theefore:
x * 345 = 254 * 60
345x = 15,240
divide through by 345
x = 15240 / 345
x = 44.17
therefore, the copying machine makes approximately 44 copies per minutes
Since 3^2 - (-4)(7) must be bigger than 0
Then it has two real roots.
Answer:
The observed tumor counts for the two populations of mice are:
Type A mice = 10 * 12 = 120 counts
Type B mice = 13 * 12 = 156 counts
Step-by-step explanation:
Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.
This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate). And the Poisson distribution gives the probability of an occurrence within a specified time interval.