Answer:
0.064
Step-by-step explanation:
( 0.4) ^3
Solution :
( 0.4) ^3
= 0.4 x 0.4 x 0.4
= 0.064
If she is making 6 costumes that need 3 7/9 yards each, the equation would be 6 x 3 7/9.
The answer to that equation would be 22 2/3.
How to get the answer:
3 x 6 = 18
7 x 6 = 42 (the seven is from the 7/9)
42/9 = 4 2/3
then add the eight teen and the 4 2/3 and you get 22 2/3.
Note that
Answer:
Mary's risk premium is $0.9375
Step-by-step explanation:
Mary's utility function,
Mary's initial wealth = $100
The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77
Expected wealth of Mary, 
= (0.5 * $115) + (0.5 * $77)
= 57.5 + 38.5
= $96
The expected value of Mary's wealth is $96
Calculate the expected utility (EU) of Mary:-
![E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75](https://tex.z-dn.net/?f=E_u%20%3D%20%5B0.5%20%2A%20U%28115%29%5D%20%2B%20%5B0.5%20%2A%20U%2877%29%5D%5C%5CE_u%20%3D%20%5B0.5%20%2A%20115%5E%7B0.5%7D%5D%20%2B%20%5B0.5%20%2A%2077%5E%7B0.5%7D%5D%5C%5CE_u%20%3D%205.36%20%2B%204.39%5C%5CE_u%20%3D%20%5C%24%209.75)
The expected utility of Mary is $9.75
Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where
U(EW - P) is equal to Mary's expected utility from the risky gamble.
U(EW - P) = EU
U(94 - P) = 9.63
Square root (94 - P) = 9.63
If Mary's risk premium is P, the expected utility will be given by the formula:

Mary's risk premium is $0.9375
Answer:
115
Step-by-step explanation:
You divide 230 by 2 cause there are two peoples. I hope that helps :)
B is 4 times 3 is twelve so the equation would be shape number times 3 equals the number of toothpicks. C is you could write it as number of toothpicks divided by 3 equals the shape number. I'm not sure tho