Answer:
Step-by-step explanation:
Deepak charges for each Job = $30
An additional charges for working each hour = $15
Let x be the number of hours he worked for each job.
So,additional charges for working x hours = 15 x
So,he earns in total at each job =
We are also given that He only accepts jobs if he will earn at least $90 the job.
This means he must earn $90 or more than that .
So, the inequality becomes:
Hence an inequality to determine x, the number of hours he must work during each job in order to accomplish this is
Answer:
5
Step-by-step explanation:
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
∩
Answer:
110 stories
Step-by-step explanation:
88+(x+8)+x=300
x=102
102+8=110
-9p-17=10
+17=+17
-9p =27
___ ___
-9 -9
p=-3