Answer:
P(X=5)=0.1032
Step-by-step explanation:
This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).
The probability that k companies that outsource overseas use a consultant can be written as:
Then, the probability that exactly five companies that outsource overseas use a consultant is:
Answer:
Step-by-step explanation:
Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.
The solution to the system can be found by substitution:
x +mx = 1
x(1 +m) = 1 . . . . factor out x
x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1
y = m/(1+m) . . . . find the y-coordinate of the solution
The point of intersection is (1/(1+m), m/(1+m)).
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The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.
Answer:
slope =
Step-by-step explanation:
Select any 2 ordered pairs from the given table, the use the slope formula to calculate the slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← 2 ordered pairs from table
m = =