Step-by-step explanation:
as just answered in the other question, the y-intercept is simply the y-value, when x=0.
it is -5 for function 1.
and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.
as -5 is greater than -7, function 1 had the greater y- intercept.
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
No. The two lengths 5 and 5 add up to 10; you'd have two sides of length 5 each placed end to end, equaling 10. That'd be represented by segments on a straight line, not a triangle.
Hope you've drawn a picture, so as to understand this better. ;)
These are the steps good luck
