Answer:
N = 15 ; P = 0.3
Step-by-step explanation:
According to the question, the data provided in the question is as follows
The percentage of parolees from prison return to prison = 30%
Number of years = 3 years
Number of prisoners released from a Texas prision is 15
Based on the above information, the value of the parameters for the binomial random variable X is
N = 15 = number of prisoners
And, the P = Percentage = 30% = 0.3
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is
This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:
The maximum value is 3
The function turns downward, hence the range is:
v = PI x r^2 X H
v = 3.14 x 6^2 x 13
v= 3.14 x 36 x 13 = 1469.52 cubic units
answer may vary slightly depending on value of PI used.
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
