Answer:
The distance between the two points = 7.81 units
Step-by-step explanation:
We are given two points and we are supposed to find the distance between the two points .
The general formula for distance between two points is
distance =
Here the points are (-2,4) and (4,-1).
Substituting these points in the above equation,
distance =
=
= 7.81 units
The distance between the two points = 7.81 units
Answer:
(a) P (U and V) = 0.
(b) P (U|V) = 0.
(c) P (U or V) = 0.83.
Step-by-step explanation:
Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,
<u>Given</u>:
Events U and V are mutually exclusive.
P (U) = 0.27 and P (V) = 0.56
(a)
As events U and V are mutually exclusive, the probability of their intersection will be 0.
That is,
Thus, the value of P (U and V) is 0.
(b)
The conditional probability of event B given A is:
Compute the value of P (U|V) as follows:
Thus, the value of P (U|V) is 0.
(c)
The probability of the union of two events, say A and B, is
Compute the value of P (U or V) as follows:
Thus, the value of P (U or V) is 0.83.
Rachel and her sister Fran together can paint the living room in hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint th part of the living room in 1 hour
By proportions,
⇒+
=
{using operation proportions and addition}
⇒=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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