Verify the property: a x ( b + c ) = a x b + a x c by taking a = −5 /2,b= 11/8
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Using the fundamental counting theorem, we have that:
- 648 different area codes are possible with this rule.
- There are 6,480,000,000 possible 10-digit phone numbers.
- The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
- 8 options for the first digit.
- 9 options for the second and third.
Thus:
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
- 7 digits, each with 10 options.
- 648 different area codes.
Then
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at brainly.com/question/24067651
Number of registrations a website received during July = 2500
Number of registrations a website received during August = 2245
Number by which the registrations decreased :
Thus, the registrations decreased by 255.
Let x be the perrcentage of decrease.
Which means :
▪︎Thus, the percentage of decrease in the number of registered members = 10.2%