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:
it would take 2.25 1/3 cups if you are looking for an exact answer, or if you are looking for the minimum amount of 1/3 cups necessary to make 3/4 it would be 3.
Step-by-step explanation:
You can solve this by cross multiplying 1/3 and 3/4
You will get 9/4 which simplifies to 2 1/4 or 2.25
Given :
Mo spends £15 on ingredients to make 40 cookies.
He sells all 40 cookies for 50p each.
To Find :
The Mo's percentage profit.
Solution :
We know, 1 £ = 66.09 p.
So, total income is :
T = 40 × 50 p
T = 2000 p
T = £2000/66.09
T = £30.26
So, total profit is, P = £( 30.26 - 15 ) = £15.26 .
Hence, this is the required solution.
Answer:
29
Step-by-step explanation:
-9+21= 21
-12+4=-8
21-(-8)=29
Answer:
Step-by-step explanation:
-5/2<-2<1.7
use number line