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
Answer:
Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.
Step-by-step explanation:
first since there is 5 bananas it will be 5:_ and then the total so add up all the fruits
9+5+4+7=25 so
5:25
or
1:5
Answer:
4 
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.
So . .
- 2 × 1 × 1
= 4.5 or 4
Answer:
5×(-4) = -20
(-1) × 4 = -4
Step-by-step explanation:
Here it' sayin when a positive number ( it may be odd or even ) gets multiplied with an even number ( it may be positive or negative ) , the product will be positive number.
5×(-4) = -20 .Here 5 is a positive number & 4 is a negative even number but the product -20 is a negative number. So it contradicts the statement.
(-1) × 4 = -4 . Here -1 is a negative number & 4 is a positive even number but the product -4 is a negative number. So it contradicts the statement.
Answer:
y = 27.1
Step-by-step explanation:
We have the value of x:
x = 12
and we need to find the value of y in the expression:
y = x + 15.1
as we can see by the equation, the value of y depends on the value of x.
thus, we substitute x = 12 on the previous equation:
y = 12 + 15.1
y = 27.1
the value of y is 27.1
