Answer:
The answer is x=4
Step-by-step explanation:
so you have -4x-2=-18
so we get rid of -2 by adding it to the other side so you'll end up having -4x=-16
you then divide that by -4 on both sides and get x=4 as your remaining answer
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
Answer: y=x+2
Step-by-step explanation:
Answer:
There is a 95% probability that the portfolio would not loose more than 30% of its value.
Step-by-step explanation:
The confidence interval for proportions (<em>p</em>) is:
![CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D)
The information provided is:
![\hat p = 0.13\\\sqrt{\frac{\hat p(1-\hat p}{n}} =0.21](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%200.13%5C%5C%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%7D%7Bn%7D%7D%20%3D0.21)
For 95% confidence level the critical value of <em>z</em> is:
![z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.05%2F2%7D%3Dz_%7B0.025%7D%3D1.96)
The 95% confidence interval for average annual return is:
![CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.13\pm 1.96\times0.21\\=0.13\pm 0.4116\\=(-0.2816, 0.5416)\\\approx(-28\%, 54\%)](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%3D0.13%5Cpm%201.96%5Ctimes0.21%5C%5C%3D0.13%5Cpm%200.4116%5C%5C%3D%28-0.2816%2C%200.5416%29%5C%5C%5Capprox%28-28%5C%25%2C%2054%5C%25%29)
The lower limit of the 95% confidence interval is -28%.
This implies that the portfolio would not loose more than 28% of its value.
Thus, there is a 95% probability that the portfolio would not loose more than 30% of its value.
Answer:
Step-by-step explanation:
Angle ABC is a right angle because all interior angles of a rectangle are right angles.