Answer:
The minimum value for 
is 
.
Step-by-step explanation:
Given function is
We need to find the maximum value or the minimum value for the function.
Now, differentiate w.r.t 
.
Now, we will equate 
to find critical point.
Plug this critical point in to the function we get,
Also, 
which is positive, We have minimum value.
So, the minimum value for is .
Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
Answer:
The other angle is 190-7x.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
Let A be the third angle.
A + (3x-20) + (4x+10) = 180
A = 180 - (3x - 20) - (4x + 10) = 190 - 7x
Answer:
the first one
Step-by-step explanation:
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The graph provided suggests the use of the points (3,-3) and (5,-3). The slope is:
The slope of the line is 0. It corresponds to a horizontal line
