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:
The option with “at most” and “no more than”
Step-by-step explanation:
These two phrases mean “greater than or equal to”
Step-by-step explanation:
£480 = 120% (after adding the 20% VAT).
we want to know how much 100% is.
he do we get from 120% to 100% ?
first the formal long way
£480 = 120%
1% = 120%/120 = 480/120 = £4
100% = 1% × 100 = 4×100 = £400
once you understand this mechanism, you can apply the direct shortcut :
£480 / 1.2 = £400
as a multiplication with 100/120 is the same as a division by 120/100, which is 1.2.
and what we did at the beginning in long form was nothing else than
£480 × 100/120 = 480 × 10/12 = 480 × 5/6 = £400
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>c</u><u>o</u><u>n</u><u>d</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>
expression=x³ × y⁴
=x³y⁴
Step-by-step explanation:
I dont remember perimeter but area is A= 1/2 bh