Hello!
Given the two points,
and
, and to find the distance between these two points is found by using the formula:

is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.




Therefore, the distance between the two points is 5.
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So

Probability:

Expected value
probability of earning 40,000.
probability of losing 1. So

The expected value of this game is -$0.26.
Answer:
y = 13x
Step-by-step explanation:
gradient = 13
x = 0
y = 0
so
= 13
cross multiply and you get
y = 13x
Answer: 0.12 Kilometer
Step-by-step explanation:
120 divided by 1000