[|] Answer [|]
![\boxed{0.4 \ > \ 0.125}](https://tex.z-dn.net/?f=%5Cboxed%7B0.4%20%5C%20%3E%20%5C%200.125%7D)
[|] Explanation [|]
Solve The Division Problems First:
2 Divided By 5
= 0.4
1 Divided By 8
= 0.125
Compare; Which Is Larger:
V
0.125 0.4
0.4 > 0.125
If you were to graph these two numbers on a number line, you would find that 0.4 is closer to zero, making it the largest number of the two.
![\boxed{[|] \ Eclipsed \ [|]}](https://tex.z-dn.net/?f=%5Cboxed%7B%5B%7C%5D%20%5C%20Eclipsed%20%5C%20%5B%7C%5D%7D)
Answer:
64z^2
Step-by-step explanation:
(-8z)^2= 64z^2 because we square -8 and square z
Step-by-step explanation:
<u>Rule: When exponents multiply, they add.</u>
<u />
<u>Multiply each expressions:</u>
![2x^3\times-9x^4=-18x^7](https://tex.z-dn.net/?f=2x%5E3%5Ctimes-9x%5E4%3D-18x%5E7)
Answer: ![(103.3515,\ 112.6485)](https://tex.z-dn.net/?f=%28103.3515%2C%5C%20112.6485%29)
Step-by-step explanation:
According to the given information, we have
n= 40
![\sigma=15\\\\\overline{x}=108](https://tex.z-dn.net/?f=%5Csigma%3D15%5C%5C%5C%5C%5Coverline%7Bx%7D%3D108)
Critical z-value for 95% confidence = ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Confidence interval :
![\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=108\pm (1.96)\dfrac{15}{\sqrt{40}}\\\\\approx108\pm4.6485\\\\= (108-4.6485,\ 108+4.6485)\\\\=(103.3515,\ 112.6485)](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D108%5Cpm%20%281.96%29%5Cdfrac%7B15%7D%7B%5Csqrt%7B40%7D%7D%5C%5C%5C%5C%5Capprox108%5Cpm4.6485%5C%5C%5C%5C%3D%20%28108-4.6485%2C%5C%20108%2B4.6485%29%5C%5C%5C%5C%3D%28103.3515%2C%5C%20112.6485%29)
Hence, the 95 percent confidence interval for this result : ![(103.3515,\ 112.6485)](https://tex.z-dn.net/?f=%28103.3515%2C%5C%20112.6485%29)