Answer:
the possible outcome sequences when a die is rolled 4 times is 1296
Step-by-step explanation:
Given the data in the question;
a die is rolled 4 times
and outcomes are { 3, 4, 3, 1 }
we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }
Now when we roll a die lets say, r times
then the total number of possible outcomes will be;
N = 
given that; r = 4
Hence if we roll a die 4 times;
Total number of possible outcome N = 6⁴
N = 1296
Therefore, the possible outcome sequences when a die is rolled 4 times is 1296
Calculate the total amount invested by summing up all the values of the investment.
Total = 50,000
Calculate the weight of each investment. For WOOPS, weight = 5000 / 50000 = 10% and so on.
Now, Expected Return = sum of weight x Returns = 10% x 0.14 + 20% x 0.16 + ... + 18%x 0.18 = 16.01%
b) Similarly,
Beta of the portfolio = sum of weight x beta = 10% x 0.6 + 20% x 0.8 + ... + 18% x 0.18 = 0.7605
c) Portfolio has less systematic risk as the beta for the average market is 1, which is above the portfolio
d) Using CAPM, Return = Rf + beta x (Rm - Rf) = 4% + 0.7605 x (14% - 4%) = 11.605%
To calculate the expected return of a portfolio, the investor needs to know the expected return of each security in the portfolio and the total weight of each security in the portfolio. This means that investors need to sum the weighted averages of the expected returns (RoRs) of each security.
Investors are based on estimates of the expected rate of return on securities, assuming that what has proven to be true in the past will be true in the future. Investors do not use the structural view of the market to calculate the expected return. Instead, it determines the weight of each security in the portfolio by dividing the value of each security by the total value of the security.
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22. -6
-14+8=-6
23. -8
-3+-5=-8
24. 4
17-13=4
i’m not 100% sure on these but i’m pretty sure i’m right, hope this helps !
ps. report bs answers to prevent loss of points
let x and y be the two numbers respectively.
since there diff is 20 so
x-y=20....(1)
then they are in ratio 3:7 so
x/y=3/7
or x=3y/7....(2)
now putting the value of x in eqn (1) we get
3y/7-y=20
or 3y-7y=20×7
or -4y=140
or y=140/-4
y=-35
now keeping the value of y in eqn (2) we get
x=3×(-35)÷7
x=-15
therefore,the numbers are x=-15 and y=-35.
Maybe you should divide 67 and 8 to get to the length of the hypotenuse
