Answer:
The expected value of a ticket is of -$5.
Step-by-step explanation:
The expected value of the ticked is the probability of earning each prize multiplied by the prize, and subtracted by the value of the ticket.
Value of the ticket:
$10.
100 tickets are sold. They will award one first prize of $300, one second prize of $150, and one third prize of $50.
Thus, 1/100 probability of earning $300, 1/100 probability of 150 and 1/100 probability of 50. So
The expected value of a ticket is of -$5.
Answer:
Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
Then:
Now we solve the equation for x
Divide both sides of equality by 8
So the length of each piece is of a yard.
This is: 1.125 yards
Answer: 5,720
Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.
Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.
Finally, we fill in the missing positions with zeros.
Therefore, 5.72 × 10³ written in standard notation is 5,720.
