Answer:
k = 4
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
. So
P(X < k) = 0.6625
k only assumes discrete values, so
We have to find the cummulative distribution until we hit 0.6625. So
So k = 4
Here it is…
Simplifying
C = 25h + 50
Reorder the terms:
C = 50 + 25h
Solving
C = 50 + 25h
Solving for variable 'C'.
Move all terms containing C to the left, all other terms to the right.
Simplifying
C = 50 + 25h
Answer:
150mm
Step-by-step explanation:
10mm=1cm
15x10=150mm
The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.
500(1.2)^7
After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.
Answer: No, figure A is not a scale copy of figure B.