𝑎−1.96𝑠/√8
where a=3 and s=7.3.
You asked:
Calculate the value of \(a - \frac{1.96 s}{\sqrt{8}}\) when \(a = 3\) and \(s = 7.3\).
MathBot Answer:
\[a - \frac{1.96 s}{\sqrt{8}} = 3 - \frac{3577 \sqrt{2}}{1000}\]
$$\begin{aligned}a - \frac{s \left(96 \cdot \frac{1}{100} + 1\right)}{\sqrt{8}}&=-\frac{\left(1 + 96 \cdot \frac{1}{100}\right) \left(7 + 3 \cdot \frac{1}{10}\right) \sqrt{2}}{4} + 3\\&=\frac{\left(- \frac{1}{4}\right) \sqrt{2} \cdot \left(1 + \frac{24}{25}\right) 73}{10} + 3\\&=\frac{\left(- \frac{1}{4}\right) \sqrt{2} \cdot \frac{49}{25} \cdot 73}{10} + 3\\&=\frac{\left(-3577\right) \sqrt{2}}{1000} + 3\\&=3 - \frac{3577 \sqrt{2}}{1000}\end{aligned}$$