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.
Answer:
Step-by-step explanation:
By definition, 
and 
. Since since 
is negative, 
must also be negative, and since 
is positive, we must be in Quadrant II.
In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.
To find the remaining leg, use to the Pythagorean Theorem, where 
, where 
is the hypotenuse, or longest side, of the right triangle and 
and 
are the two legs of the right triangle.
Solving, we get:
Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.
Thus, we have:
Start from -2,0 and then go up 1 and 4 to the right for each point
You have to do some trigonometric transformations :
sin ( 11π/2 ) = sin ( 8π/2 + 3π/2 ) = sin ( 4π + 3π / 2 ) = sin ( 3π / 2 ) =
= sin 270° = -1
