Answer: 
3026
30
Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:
Assuming x represents the random male selected and y represents the random female selected:
3026
The average sum of their scores is 3026.
Average difference is the difference between the expected value (mean) of each gender:
1528 - 1498
30
The average difference of their scores is 30.
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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ANSWER
EXPLANATION
The general term for the sequence is
To find the 55th term, we have to substitute
in to the general term and simplify.
This implies that,
Therefore the 55th term is 161.
Answer:
Step-by-step explanation:
40-j=8
Answer:
Step-by-step explanation:
Out of the given options, is the only fraction that is improper. All other options are not improper. Therefore, would not belong is the given group of fractions.
Hope this helps.
