Let be the first term in the series and the common ratio. Then the infinite series converges to
Removing the first three terms from the left side effectively multiplies the right side by 27, so
By elimination,
Solve for . We can eliminate so that
Answer:
x>24
Step-by-step explanation:
Solve like a normal equation :)
-2x<-48
Now we divide.
-x<-24
Note: Whenever dividing by a negative, you have to flip the sign of the inequality!
x>24
You add 70 + 50 then you multiply it by 7.5 and you get, 900 gallons.
Answer = 160 units
Reason is 75 sell price less cost per unit = $25 profit per unit
Overhead cost is $4000. Divide fixed overhead cost $4000 by profit per unit $25 = 160
Answer:
A) 2/3
B) 1/3
Step-by-step explanation:
A) Since the bus arrives uniformly at the bus stop between 10 and 10:30.Let X denote the arrival of a bus at a bus stop. Thus X is a uniform tandom variable having a density function;
f(x) = 1/30 : x ∈ [0,30]
Now, probability that a passenger arriving at the bus stop between 10 and 10:30 will have to wait more than 10 minutes can be expressed as;
P[x > 10] = ∫f(x)•dx at boundary of 30 and 10
Thus,
∫(1/30)•dx at boundary of 30 and 10
P[x > 10] = (1/30)•x at boundary of 30 and 10
P[x > 10] = (1/30)(30) - (1/30)(10)
P[x > 10] = 1 - 1/3 = 2/3
B) The probability that the passenger will have to wait additional 10 minutes is given as;
P[X > 25 | X > 15] =P[X > 25 ∩ X > 15]
= (P[X > 25])/(P[X > 15])
= [∫(1/30)•dx at boundary of 30 and 25]/ [∫(1/30)•dx at boundary of 30 and 15]
= [(1/30)•x at boundary of 30 and 25]/[(1/30)•x at boundary of 30 and 15]
= [(30/30) - (25/30)]/[(30/30) - (15/30)]
= (1 - 5/6)/(1 - 1/2)
= 1/6 ÷ 1/2 = 1/3
∩