Answer:
Step-by-step explanation:
Total number of toll-free area codes = 6
A complete number will be of the form:
800-abc-defg
Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.
Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.
Considering: 800-abc-defg
The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.
Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:
Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 
Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes =
Answer:
110 degrees
Step-by-step explanation:
The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.
The answer is four .......
Answer:
-√(1 - 2x) + C
Step-by-step explanation:
1/√(1-2x)
We want to integrate it. Thus;
∫1/√(1 - 2x) dx
Let u = 1 - 2x
Thus;
du/dx = -2
Thus, dx = -½du
Thus,we now have;
-½∫1/√(u) du
By application of power rule, we will now have;
-½∫1/√(u) du = -√(u) + C
Plugging in the value of u, we will have;
-√(1 - 2x) + C
Answer:
(b) The distribution of the last digits of ID numbers in a sample of 100 college students
Step-by-step explanation:
<u>Uniform Distribution Explanation</u>
In statistics, uniform distribution refers to a type of probability distribution in which all outcomes are equally likely.
The only possibility here is the distribution of the last digits since the last digit can be 0 thru 9 and each is equally likely to appear in a random sample of 100 students
The others can be eliminated
Heights can vary depending on gender, ethnic background etc. In fact heights will follow a normal distribution
Scores can vary, most students will be scoring around the mean follows a normal distribution
GPAs like scores can vary, most students will have GPAs close to the mean GPA so follows a normal distribution
