Answer:
a) The expected value and the variance for the amount that the bank loses on a typical roll is 0.36
b) The probability that the bank will lose at least 25 cents in 100 rolls is 0.2033
c) The probability that the bank will lose any money in 100 rolls is 0.9995
d) The rolls bank need to collect to have a 99 percent chance of a net loss are 50 rolls.
Step-by-step explanation:
Detailed steps are attached below
Use distributed
2x-1=15-6x
2x+6x=15+1
8x=16
X=16/8
X=2
Vertical angles:
Vertical Angles are the angles opposite each other when two lines cross.
https://www.mathsisfun.com/geometry/vertical-angles.html
The link has a visual of vertical angles.
Adjacent Angles:
Adjacent angles are two angles that share a common vertex point and a common side. They basically sit right next to each other.
https://www.mathsisfun.com/geometry/adjacent-angles.html
The link has a visual of adjacent angles.
Complementary Angles:
Two angles whose measures add to 90º.
Basically, together they make a right angle.
Supplementary Angles:
Two angles whose measures add to 180º.
Basically, together they form a straight line.
Answer:
Both functions have a initial value of 35: F(x) is a linear function becuase it has a consistent rate of change but
g(x) is a exponential function becuase it has a common ratio. When x is greater than zero, f(x) is decreasing but when x is greater than zero in g(x), it is increasing.