Answer:
12 pencils
Step-by-step explanation:
36/6 = 6
you need to divide 36 by 6 as there are 36 pencils.
= 2 * 6 = 12
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
(4 x 4) - (4/4)
= 16 - 1
= 15
The answer should be -3xy^2 (4x^2y^3 + 3x - 4y)
Answer:
<u>The domain is the set of x-values:</u>
<u>The range is the set of y-values:</u>
This can be a function as each x- value has exactly one corresponding y- value.
