At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. Of these
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Answer:
and
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
The point of tangency is (-3,1). It means the slope of tangent is .
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points with slope m, then the point slope form of the line is
The slope of tangent line is and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and
.
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-
Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840