𝑎−1.96𝑠/√8

where a=3 and s=7.3.

asked by guest
on Jan 22, 2025 at 2:14 pm



You asked:

Calculate the value of a−1.96s8a - \frac{1.96 s}{\sqrt{8}} when a=3a = 3 and s=7.3s = 7.3.

MathBot Answer:

a−1.96s8=3−357721000a - \frac{1.96 s}{\sqrt{8}} = 3 - \frac{3577 \sqrt{2}}{1000}

a−s(96⋅1100+1)8=−(1+96⋅1100)(7+3⋅110)24+3=(−14)2⋅(1+2425)7310+3=(−14)2⋅4925⋅7310+3=(−3577)21000+3=3−357721000\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}


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