Answer:
D. <3 and <7
Step-by-step explanation:
Corresponding angles are angles that are on matching sides and that are cut by a transversal.
Hope this helps!
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
Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
...(i)
Where, k is the constant of proportionality.
We have, when . Substituting these values in (i), we get
Divide both sides by 5.
Substituting 
in (i), we get
Therefore, the required equation is .
Area of the triangle = (1/2)*base* height = (1/2)*3*6 = 9 sm²
We have 4 triangles like this one ,
so area of 4 triangles = 9*4 = 36 cm².
Area of the square = 3*3 = 9 cm²
Surface area here means area all triangles + area of the square =36 +9 =
= 45 cm ²
Answer is 45 cm².
