Answer:
The expression to find Carey's hourly rate is: 
. Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:
We want to find the Carey's rate, therefore we need to isolate the "c" variable.
Since Anderson earns $6, then we can find Carey's rate:
Let's put all of these into percent form.
P(Guilty) = 0.25 = 25%
P(Innocent) = 55%
P(Retrial) = 1/5 = 0.2 = 20%
Next, we need to order them from least to most likely. The least likely event to occur would be the smallest percent, then the next smallest, etc.
Order: Retrial, Guilty, Innocent
Hope this helps! :)
Simplies form of 3/8 is 1/4
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter 
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
Formula of surface area of cuboid = 2(lb+bh+lh) . Surface area of cuboid is 14800cm^2 (Given) then 14800 = 2(60*40+40*Height+Height*60) 14800= 2(2400+40*H+H*60) 14800= 4800+80*2H+2H*60 14800= 4880*4H*60 14800/4880*60= 4H
14800/292800=4H
7400/146400=4H
3700/73200=4H
1850/36600=4H
925/18300=4H
185/3660=4H
37/732=4H
37/732*4=H
37/2928=H
H= 79.1351351
