Substitute 9 for x in <span> -5/6 x +7
(-5/6) (9) + 7
Now solve
</span>(-5/6) (9) + 7
-7.5 + 7 = -0.5
Your answer is -0.5 or -1/2
Solution
The total possible number of ways is
The probability of getting a particular four-letter sequence is
Answer:
0.2
Step-by-step explanation:
2 divided by 10 gives you the decimal.
Answer:
The other rational number in the operation given is:
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
- (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.
Odd numbers are of the form:
2n-1
So first we need to know how many odd numbers there are between 100 and 200...
100<2n-1<200 add 1 to all terms
101<2n<201 divide all terms by 2
50.5<n<100.5, since n must be an integer
51≤n≤100 so there are 100-51+1=50 odd numbers
Notice that 2n-1 forms an arithmetic sequence from 101 to 199 in this instance.
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms, mathematically:
s=(a+b)(n/2), where a and b are the first and last terms and n is the number of terms, we saw earlier that there are 50 terms and that a=101 and b=199 so:
s=(101+199)(50/2)
s=7500
So the sum of all odd numbers between 100 and 200 is 7500.