For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that
2 answers:
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<u>The given options are:</u>
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answer:
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
The area of the shaded sector can be determined using the formula:
Therefore, the formula is:
Therefore, the formula is best explained by Option A.
Answer:
The expected payoff for this game is -$1.22.
Step-by-step explanation:
It is given that a pair of honest dice is rolled.
Possible outcomes for a dice = 1,2,3,4,5,6
Two dices are rolled then the total number of outcomes = 6 × 6 = 36.
The possible ways of getting a total of 7,
{ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }
Number of favorable outcomes = 7
Formula for probability:
So, the possibility of getting a total of 7 =
The possible ways of getting a total of 11,
{(5,6), (6,5)}
So, the probability of getting a total of 11 = =
Now, other possible rolls = 36 - 6 - 2 = 36 - 8 = 28,
So, the probability of getting the sum of numbers other than 7 or 11 = =
Since, for the sum of 7, $ 22 will earn, for the sum of 11, $ 66 will earn while for any other total loss is $11,
Hence, the expected value for this game is
Therefore the expected payoff for this game is -$1.22.