Answer:
x = -5
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal
110 = x+115
Subtract 115 from each side
110-115 = x+115-155
x = -5
Answer:
Make x 0 and y 3
Step-by-step explanation:
0 multiplied by 2 is 0
-3 multiplied by 3 is -9
0-9 = -9
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound
and upper bound
.
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:

Considering
, as is the case in this exercise:

The expected number of keys she will try before she opens the door is 4.5.
Answer:
Step-by-step explanation:
part A:
okay so you saved $300 and choose to spend $50 a week
the 300 is positive and is the y-intercept since thats the amount of money you start with
and the 50 is negative because that is being spent and is the slope
so the equation is:
y = -50x + 300
part B:
the graph will be on the bottom
the (6, 0), aka the x-intercept, shows that in 6 weeks you will be out of money
the (0, 300), aka the y-intercept, shows that in the beginning of summer you have $300
part C:
the y-intercept is 300; it represents the amount of money you have in the beginning of the summer