Answer:
Check the explanation
Step-by-step explanation:
Number of transactions in a day is sum of number of withdrawals and number of deposits. So,
Number of transactions in a day, Z = X + Y
Moment Generating function of Z is,
T+1
Expected number of transactions in a day = E[Z]
Multiples of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60
12 24 36 and 48 are the only common factors
so 4 days
18 = 2×3×3
30 = 2×3×5
The LCM will have factors of 2, 3², and 5. (Choose the highest power of each prime.)
2×3×3×5 = 90 is the LCM of 18 and 30.
Answer:
it will take Larissa 4 17/27 hours to finish 5lbs of goldfish
Step-by-step explanation:
1.5 pound = 1 1/2 pound equivalent to 3/2 pounds
3/5 of a 1.5-pound
= 3/5 × 3/2 pounds
= 9/10 lbs of goldfish eaten in 5/6 hours
how long, in hours, would it take her to finish a 5-lb box of goldfish?
Find the ratio
9/10 lbs of goldfish : 5/6 hours = 5lbs of goldfish : t hours
9/10 ÷ 5/6 = 5 / t
Solve for t
9/10 × 6/5 = 5 / t
54 / 50 = 5 / t
Cross multiply
54 × t = 50 × 5
54t = 250
Divide both sides by 54
t = 250 / 54
= 4 34/54
= 4 17/27 hours
Therefore, it will take Larissa 4 17/27 hours to finish 5lbs of goldfish
-1x/-1 = 9/-1
the answer will be x =-9