Find the next number in the sequence 32, 48, 56, 60, 62

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

Answer: divide 2 from what you got from the last one

Step-by-step explanation:

32+16=48 so then divide 16 by 2 or subtract 8

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Janet is training for a marathon. She decides to track her time per mile, in minutes, for 8 weeks. Which equation best fits the

Anna007 [38]

Answer:

$y=-0.18 x+10.06$

Step-by-step explanation:

The nine coordinates are $(0,10)$ , $(1,9.9)$ , $(2,9.6),(3,9.5), (4,9.4), (5,9.2), (6,9), (7,8.7), (8,8.6)$

To find the line that best fit the data is to substitute the values in this equation $y=a x+b$ where $a=\frac{\left(N * \sum x y\right)-\left(\sum x * \sum y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)}$ and $b=\frac{\left(\sum x^{2} * \Sigma y\right)-\left(\sum x * \Sigma x y\right)}{\left(N * \Sigma x^{2}\right)-\left(\sum x * \Sigma x\right)}$

Using the values from the table attached below, we can substitute and find the values of a and b

Substituting the values of a, we get,

$\begin{aligned}a &=\frac{\left(N * \sum x y\right)-\left(\sum x * \Sigma y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(9 * 324.9)-(36 * 83.9)}{(9 * 204)-(36 * 36)} \\&=-0.18\end{aligned}$

Similarly, substituting the values of b, we get,

$\begin{aligned}b &=\frac{\left(\sum x^{2} * \Sigma y\right)-\left(\sum x * \sum x y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(204 * 83.9)-(36 * 315)}{(9 * 204)-(36 * 36)} \\&=10.06\end{aligned}$