Expected Mean, E(X), is obtained by multiplying each pair of

and its

and add up the answers
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
Answer: After 1 day, the amount of Iodine-125 has decreased by 1.15%. Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining
Step-by-step explanation:
Answer:
two blocks east
Step-by-step explanation:
the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east
Answer:
She will need 13.2 gallons to drive 286 miles
Step-by-step explanation:
Step 1
Consider the expression below;
T=G×N
where;
T-total miles traveled
G-number of miles per gallon
N=quantity of gas consumed
This can also be expressed as;
Total miles=number of miles per gallon×number of gallons
In our case;
T=260 miles
G=unknown
N=12 gallons
replacing;
260=G×12
12 G=260
G=260/12
G=21.67 miles per gallon
Step 2
Using the same expression;
T=G×N
where;
T=286 miles
G=21.67 miles per gallon
N=unknown
replacing;
286=21.67×N
21.67 N=286
N=286/21.67
N=13.2 gallons
She will need 13.2 gallons to drive 286 miles