Answer:
4
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (
, 
)
AB = 
+ 
= 
+ 
= 
= 
= 4
Answer:
The UPC is not valid..
Step-by-step explanation:
The Universal Price Code is represented in the form of bars which is scanned when we purchase something.
The last digit of the UPC is the check digit.
Give UPC = 375407370090
To check whether the UPC is valid or not.
Step 1:
Add the digits at odd positions.
3 + 5 + 0 +3 + 0 + 9 = 20
Step 2:
Multiply the number obtained in step 1 by 3
20*3 = 60
Step 3:
The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.
7 + 4 + 7 +7 +0 = 25
Step 4:
Add the numbers obtained in Step 2 and step 3
60 + 25 = 85
Step 5:
The number obtained in step 5 is subtracted from the next multiple of 10.
In the above case,
85 will be subtracted from 90.
90 - 85 = 5
For a valid UPC, the answer to step 5 is equal to the last digit of UPC.
In the above case, the answer is 5 which is not equal to zero.
So, the UPC is not Valid.
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.
