Answer:
There are 26 possible way to determine two distinct integers whose sum is 27.
Step-by-step explanation:
To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.
Solution :
We have given the numbers from 1,2,3,4......,29,30.
In order to get two distinct numbers having the sum 27,
There are the possibilities :
1+26=27
2+25=27
3+24=27
......
24+3=27
25+2=27
26+1=27
The maximum number taken is 26.
So, There are 26 possible way to determine two distinct integers whose sum is 27.
2560000 sequences of answers are possible.
<em><u>Explanation</u></em>
Total number of questions = 10
First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.
So, the possible sequences of answers for first 4 questions 
and the possible sequences of answers for remaining 6 questions 
Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:
At least 100 degrees
Step-by-step explanation:
Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.
The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.
How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.
The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.
finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to
