Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
Answer:
48
Step-by-step explanation:
You can use a graphing calculator like desmos or draw your own graph to figure this out. Start by graphing each of those points. Then count the width and height. Multiply them to get the area. The width and height of the rectangle were 6 and 8, so the area is 48
Answer:
135 cubic centimeters
Step-by-step explanation:
The formula for volume of a pyramid is lwh/3 = V.
The base (length and width, remember) is 9 cm * 9 cm, because it's a square pyramid. The height is 5 cm. Plug these in!
lwh/3 = V
9*9*5/3 = V
<u>V = 135 cubic centimeters</u>
Answer:
x = 15.81
Step-by-step explanation:
horizontal leg of triangle = 15
vertical leg of triangle = 9 - 4 = 5
using the Pythagorean theorem:
x² = 15² + 5² = 225 + 25 = 250
x = √250 = 15.81
