Answer:
Option (4)
Step-by-step explanation:
Volume of a rectangular prism is given by the formula,
Volume = Length × Width × Height
From the picture attached,
Length of the prism = 5 cm
Width of the prism = 
= 
cm
Height of the prism = 
= 
cm
Volume of the given prism = 
× ×
= 
= 
= 
cm³
Therefore, Option (4) is the correct option.
Answer: 2b+3
Combine like terms which are 5 and -2
You need 45
=45
3 points each question correct
The answer is 3x less than or equal to 45
Answer:
Answer explained below
Step-by-step explanation:
Alex has in the past committed 55% of the burglaries committed by the three, Becky 31%, and Carl the rest, hence
probability, P(Carl doing a burglary) = 1 - P(Alex or Becky doing a burglary)
= 1 - (0.55 + 0.31)
= 0.14
a) P(next burglary in town is the burglary of a residence) = P(Alex did a burglary of a residence) + P(Becky did a burglary of a residence) + P(Carl did a burglary of residence
= 0.55*1/3 + 0.31*0.5 + 0.14*1
= 0.4783
b)From Bayes' Theorem: P(A | B) = P(A & B) / P(B)
Hence,
P(Becky | a resident reports a home burglary) = P(Becky did a burglary of a residence) / P(burglary of a residence)
= (0.31 * 0.5)/0.4783
= 0.3240
