The 70th percentile is the same as the cutoff recovery time
![t](https://tex.z-dn.net/?f=t)
such that every point above this time falls in the longest 30%, i.e.
![\mathbb P(X>t)=0.30](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%3Et%29%3D0.30)
Transform to the standard normal distribution:
![\mathbb P\left(\dfrac{X-5.9}{2.5}>\dfrac{t-5.9}{2.5}\right)=\mathbb P(Z>t^*)](https://tex.z-dn.net/?f=%5Cmathbb%20P%5Cleft%28%5Cdfrac%7BX-5.9%7D%7B2.5%7D%3E%5Cdfrac%7Bt-5.9%7D%7B2.5%7D%5Cright%29%3D%5Cmathbb%20P%28Z%3Et%5E%2A%29)
where
![t^*](https://tex.z-dn.net/?f=t%5E%2A)
is the z-score corresponding to the cutoff time
![t](https://tex.z-dn.net/?f=t)
, which is approximately
![t^*\approx0.5244](https://tex.z-dn.net/?f=t%5E%2A%5Capprox0.5244)
. Solve for
![t](https://tex.z-dn.net/?f=t)
:
Answer:
<h2>B)(3,0)</h2><h3>since you can clearly see that the system of inequality intercept at (3,0) coordinates</h3><h3>therefore our answer is B</h3>
Volume of sphere =
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r³
if volume of this sphere = 589 cm³
then πr³ = 589 cm³
r³ =
∛r³ = ∛187.485 cm³
∴ r = 5.72 cm
He will be able to buy lunch for 21 days because 58.19 divided by 2.74 is 21. 237226