Answer:
a. Probability distribution is given below
Scores Ex, x. 1 2 3 4 5
P(X=x). 0.05 0.09 0.03 0.42 0.41
b. Scores mg, Y 1. 2. 3. 4. 5
P(Y=y). 0.04. 0.1. 0.12 0.46 .28
c. probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5.
P(4 or 5) =p(x=4) +p(x=5)
= 0.42 + 0.41=0.83
Bonus #1) June 30 is equivalent to the 91st day of April or the 61st day of May.
Hilda's deposit of 4520 earned interest for 91-1 = 90 days.
Hilda's deposit of 580 earned interest for 61-10 = 51 days.
Hilda's deposit of 590 earned interest for 61-23 = 38 days.
Balance = $4520·(1 +.035/365)⁹⁰ + 580·(1 +.035/365)⁵¹ + 590·(1 +.035/365)³⁸
... = $4559.175 +582.843 +592.154
... ≈ $5734.17
Deposits total 4520 +580 +590 = 5690, so interest earned is
... $5734.17 -5690.00 = $44.17
Bonus #2) This problem can be worked the same way, except that withdrawals are subtracted from the final balance.
Owner's deposit of $12,300 earned interest for 91 days.
Owner's withdrawal of $3600 reduced the balance for 53 days.
Owner's withdrawal of $1200 reduced the balance for 10 days.
Balance = $12300·(1 +.035/365)⁹¹ -3600·(1 +.035/365)⁵³ -1200·(1 +.035/365)¹⁰
... = $12,407.795 -3618.342 -1201.151
... ≈ $7588.30
Interest earned = $7588.30 - (12300 -3600 -1200) = $88.30
Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
The answer id 12 meters.divide -2x^2+20x+48 by 2 to get x alone and then umbrella
Answer:
NO
Step-by-step explanation:
- Try to replace x by -50
- y= 390 + 11*(-50) = -160
- in the table we have -210 so the table doesn't represent the equation
