Answer:
1, 3, 5
Step-by-step explanation:
The sum of an arithmetic series is:
S_n = n (a_1 + a_n) / 2
100 = n (1 + 19) / 2
n = 10
The nth term of an arithmetic sequence is:
a_n = a_1 + d (n − 1)
19 = 1 + d (10 − 1)
d = 2
The common difference is 2. So the first three terms are 1, 3, and 5.
<span>The first equation is a direct variation. This type of equation has a form that is "y = kx," in which k is the constant. Changing both sides by a common multiple will still lead to the equation being evaluated as true, since the values will both increase by that multiple.</span>
Answer:
69.1
Step-by-step explanation:
<em>Mean height of 14 students = 69.0 inches</em>
<em>Mean = sum of data/number of data</em>
<em>69 = sum of data/14</em>
<em>sum of data = 966</em>
<u>FOR NEW MEAN:</u>
<em>Height of additional student = 70.5</em>
Mean = sum of data/ number of data
Mean = 966+70.5/14+1
Mean = 1036.5/15
Mean = 69.1
Therefore, the mean height of the 15 students in the class is 69.1
<span>
A box plot is drawn with end points at 10 and 35.The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.</span>
x is your starting running time. 1/10 of a minute is 6 seconds, so you can do x - 6(6). 6 times 6 = 36, so your answer is x - 36 seconds. 36 seconds.