Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Answer:
![=\left(\frac{15}{2},\:\frac{5}{2}\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28%5Cfrac%7B15%7D%7B2%7D%2C%5C%3A%5Cfrac%7B5%7D%7B2%7D%5Cright%29)
Step-by-step explanation:
![\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3A%5Cquad%20%5Cleft%28%5Cfrac%7Bx_2%2Bx_1%7D%7B2%7D%2C%5C%3A%5C%3A%5Cfrac%7By_2%2By_1%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%286%2C%5C%3A4%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%289%2C%5C%3A1%5Cright%29%5C%5C%5C%5C%3D%5Cleft%28%5Cfrac%7B9%2B6%7D%7B2%7D%2C%5C%3A%5Cfrac%7B1%2B4%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%3D%28%5Cfrac%7B15%7D%7B2%7D%20%2C%20%5Cfrac%7B5%7D%7B2%7D%20%29%5C%5C%5C%5C)
Answer:
0.0003
Step-by-step explanation:
Mean=μ=8.21
Standard deviation=σ=2.14
We have to find P(3 randomly monitored call completed in 4 min or less).
P(Xbar≤4)=?
μxbar=μ=8.21
σxbar=σ/√n=2.14/√3=1.2355
Z-score associated with xbar=4
Z=[Xbar-μxbar]/σxbar
Z=[4-8.21]/1.2355
Z=-4.21/1.2355
Z=-3.4075
P(Xbar≤4)=P(Z≤-3.41)
P(Xbar≤4)=P(-∞<Z<0)-P(0<Z<-3.41)
P(Xbar≤4)=0.5-0.4997
P(Xbar≤4)=0.0003
Thus, the probability that three randomly monitored calls will each be completed in 4 minutes or less is 0.0003.
So you're trying to turn words into math: here you go
128 (original money) + n * t
so n is the amount he saves
and t is the amount of time (in weeks)
so you get
128+n*t
Hope this helped!