<span>(2x + 1) • (4x2 - 2x + 1)
———————————————————————— 32x<span>2</span></span>
Answer:
soh cah toa
to find a use sin =opp/hyp
sin 32=opp or a /hyp
sin 32*hyp=9.53
then to find b you can pythagorean theorem or just use cah or cos =adj/hyp
same process as above only using cos instead of sin
you get 15.3
then a^2+b^2=c^2
9.53^2+15.3^2=18^2 just to check or to use to find either a or b given c and either a or b
Step-by-step explanation:
Answer:
y^5+11y^3-2y^3-22
Step-by-step explanation:
200miles/4 hours
200/4=50 4/4=1
50/1
50miles per hour
Answer: -1.51
Step-by-step explanation:
Let
be the population mean rating of car.
As per given , we have
![H_0: \mu=42.8](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%3D42.8)
![H_a: \mu\neq42.8](https://tex.z-dn.net/?f=H_a%3A%20%5Cmu%5Cneq42.8)
Since population variance is known, so we use z-test.
Test statistic : ![z=\dfrac{\overline{x}-\mu}{\sqrt{\dfrac{\sigma^2}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Csqrt%7B%5Cdfrac%7B%5Csigma%5E2%7D%7Bn%7D%7D%7D)
, where n= sample size
= Sample mean
= variance
As per given ,
n=300
![\overline{x}=42.6](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D42.6)
![\sigma^2=5.29](https://tex.z-dn.net/?f=%5Csigma%5E2%3D5.29)
![\mu=42.8](https://tex.z-dn.net/?f=%5Cmu%3D42.8)
Put these values in formula we get
![z=\dfrac{42.6-42.8}{\sqrt{\dfrac{5.29}{300}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B42.6-42.8%7D%7B%5Csqrt%7B%5Cdfrac%7B5.29%7D%7B300%7D%7D%7D)
![z=\dfrac{-0.2}{\sqrt{0.0176333}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-0.2%7D%7B%5Csqrt%7B0.0176333%7D%7D)
![z=\dfrac{-0.2}{0.13279}=-1.50613751035\approx1.51](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-0.2%7D%7B0.13279%7D%3D-1.50613751035%5Capprox1.51)
Hence, the value of the test statistic is z= -1.51 .