Total fish = 100
Carp = 30
Number of fish caught = 20
The random variable X follows hyper-geometric distribution.
Mean = 30 *20 / 100 = 600/100 = 6
Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)
Variance = 600/100 * 56/99
Variance = 112/33
Assumptions: Is that X follows hyper-geometric distribution with the given information.
Answer:
Slope = 2, Y-intercept = (0, 5)
Step-by-step explanation:
First, isolate y by moving all other terms to the other side of the equation.
2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5
The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.
Therefore, the slope is 2 and the y-intercept is (0, 5).
It's true. That's how parallelograms are defined. Here's a diagram to show you what the question means. The opposite sides are parallel and there are 2 sets of parallel lines.
Answer:
x = 55
Step-by-step explanation:
A triangle equals 180 degrees, b will be used to find the missing angle.
21 + 34 + b = 180
55 + b = 180
subtract 55 from both sides
b = 125
A straight line is 180 degrees and the b, the missing angle, and x are supplementary angles so
125 + x = 180
x = 55
Answer:
g = 10
Step-by-step explanation:
Distribute 7 to the parentheses:
7(g + 5) = 105
7g + 35 = 105
Solve for g:
7g + 35 = 105
7g = 170
g = 10
So, the answer is g = 10
