![5x+5z=0\implies x+z=0\implies z=-x](https://tex.z-dn.net/?f=5x%2B5z%3D0%5Cimplies%20x%2Bz%3D0%5Cimplies%20z%3D-x)
![5x+3y-2z=7x+3y-2x-2z=7x+3y-2=-4\implies7x+3y=-2](https://tex.z-dn.net/?f=5x%2B3y-2z%3D7x%2B3y-2x-2z%3D7x%2B3y-2%3D-4%5Cimplies7x%2B3y%3D-2)
Letting
and
, we have
![7t+3y=-2\implies y=-\dfrac73t-\dfrac23](https://tex.z-dn.net/?f=7t%2B3y%3D-2%5Cimplies%20y%3D-%5Cdfrac73t-%5Cdfrac23)
so the intersection is given by
![\mathbf r(t)=\left(t,-\dfrac73t-\dfrac23,-t\right)](https://tex.z-dn.net/?f=%5Cmathbf%20r%28t%29%3D%5Cleft%28t%2C-%5Cdfrac73t-%5Cdfrac23%2C-t%5Cright%29)
(9x8) divided (2+10)
72 divided 12
=6
Answer:
The 4 answer is yours
Step-by-step explanation:
-2x^3+2x
Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a <u>two-tailed 95% confidence interval</u>, with 50 - 1 = <u>49 df</u>, is t = 2.0096.
Considering the given sample, the other parameters are given as follows:
![\overline{x} = 6.34, s = 2.16, n = 50](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%206.34%2C%20s%20%3D%202.16%2C%20n%20%3D%2050)
Hence, the bounds of the interval are:
![\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%206.34%20-%202.0096%5Cfrac%7B2.16%7D%7B%5Csqrt%7B50%7D%7D%20%3D%205.73)
![\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%206.34%20%2B%202.0096%5Cfrac%7B2.16%7D%7B%5Csqrt%7B50%7D%7D%20%3D%206.95)
More can be learned about the t-distribution at brainly.com/question/16162795
#SPJ1
This is a number belonging to the set of Rational Numbers.
Examples are 2/3 . -4/9 and 8.