3. Find the measure (in radians) of a central angle of a sector of area 16 in squared a circle of radius 3 inches.
1 answer:
You might be interested in
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:-
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
Petra can make 8 costumes with 12 yards of fabric
<h3><u>Solution:</u></h3>Given that Petra was given 12 yards of fabric to make costumes for the school play
Each costume requires yards
<em><u>To find: number of costume Petra can make</u></em>
The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume
Total fabric she has = 12 yards
Fabric needed for 1 costume = yards
Therefore,
Thus petra can make 8 costumes with 12 yards of fabric