Answer:
4v-6.3w+9.8
Step-by-step explanation:
If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))
Basically it's switching the signs
Hope that helped :)
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

Answer:
90% confidence interval is (43.25, 61.41)
Step-by-step explanation:
Given that,
n = 17
Mean,
= 52.33
Standard deviation,
= 21.44
∝ = 0.10
Now,
Confidence interval =
± ![t_{\frac{\alpha }{2}, n-1} [\frac{\sigma}{\sqrt{n} } ]](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2C%20n-1%7D%20%5B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5D)
= 52.33 ± 1.7646 [ 21.44 / √17 ]
= 52.33 ± 9.0791
So,
52.33 + 9.0791 = 61.4091
52.33 - 9.0791 = 43.2509
So,
90% confidence interval is (43.25, 61.41)
Also,
Lower end-point = 43.25
Upper end-point = 61.41