The vector sum of two vectors as (7,5) and (13,-5) is given by 
which can be written in point form as (20,0) .
<u>Step-by-step explanation:</u>
Here we have , two vectors as (7,5) and (13,-5) Which are represented as :
Addition of vector is as same as normal addition of integers as :
⇒ 
⇒ 
⇒ ,
where i & j are the unit vectors in direction x-axis and y-axis respectively.
The vector sum of two vectors as (7,5) and (13,-5) is given by which can be written in point form as (20,0) .
Answer:
60,000
Step-by-step explanation:
Let the total people in the household be 100%
If 80 percent of the households have cable television, 60 percent of the households have videocassette recorders and the number of households that have both cable television and videocassette recorders is 'x' percent. The number of households having ONLY cable television will be 80-x while households having ONLY videocassette will be 60-x.
To get x, we will have;
80-x + 60-x + x = 100
140-x = 100
x = 140-100
x = 40
This shows that 40% of the households have both cable television and videocassette.
If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be 40% of 150,000
= 40/100 × 150,000
= 60,000
Number of households that owns both television and videocassette could be from 60,000.
Answer:
x + 50 = 60
x = 60 - 50
× = 10
this is the answer . It just calculation.
You would need to divide both sides by 10.
110=10p
11=p
Let
denote the event that an HD is defective, and
the event that a particular HD was produced at facility
.
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
.
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)
