How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many Mar
2 answers:
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Answer:
- 30.5 cm
Step-by-step explanation:
<em>Refer to attached</em>
- Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
- 0 <h < 10 >> 1 >> 5 >> 5
- 10 <h < 20 >> 4 >> 15 >> 60
- 20 <h < 30 >> 7 >> 25 >> 175
- 30 <h < 40 >> 2 >> 35 >> 70
- 40 <h < 50 >> 3 >> 45 >> 135
- 50 <h < 60 >> 3 >> 55 >> 165
Sum of frequencies = 20
Sum of frequency x midpoint product = 610
<u>Mean height </u>
- 610/20 = 30.5 cm
Without knowing anything about the sequence, this is impossible to answer. But suppose the sequence is arithmetic, in which case each term differs by some constant :
Then we can write
and from the formula above, we see this means the 10th term in the sequence is . But that's all the specific info we can gather about such an arithmetic sequence. If we set the first term to be some unknown
, then the sum of the first 19 terms in the sequence would be
If we knew one more term in the sequence, we could determine the value of and derive the value of
(if the first term
is not immediately given), and then go on to find an exact numeric value for the sum.