The point-slope form:
We have
Therefore
<h3>slope = -3 and the point (-2, 6)</h3>
------------
<h3>y + 2 = 2(x - 1)</h3>
2x - y = 4 <em>it's standard form Ax + By = C</em>
y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>
y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>
Answer:
78%, no he didn't score high enough
Step-by-step explanation:
Answer:
look down below
Step-by-step explanation:
We know that AB = DC, and BC = AD, ∠B = ∠D because they are given
So, ΔABC ≅ ΔCDA because of SAS congruency
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
