Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that
![3s=1.4](https://tex.z-dn.net/?f=3s%3D1.4)
Divide boths ides by 3 , we get
![s=0.466666666667\approx0.4667](https://tex.z-dn.net/?f=s%3D0.466666666667%5Capprox0.4667)
Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
The answer is -3.
To find this, we simply have to solve the equation and leave only the blank and the parenthesis that it is with on the right side. Then we can divide by the parenthesis. The work for this is done for you below.
____(x - 3) + 2x = -(x - 5) + 4 ----> Distribute the -1 to the parenthesis.
____(x + 3) + 2x = -x + 5 + 4 ----> Simplify
____(x + 3) + 2x = -x + 9 ----> Subtract 2x from both sides
____(x + 3) = -3x + 9 ------> Divide both sides by x + 3
____ = -3.
Answer:
The mass of the radioactive sample after 40 minutes is 12.8 g.
Step-by-step explanation:
The mass of the sample can be found by using the exponential decay equation:
![N_{t} = N_{0}e^{-\lambda t}](https://tex.z-dn.net/?f=%20N_%7Bt%7D%20%3D%20N_%7B0%7De%5E%7B-%5Clambda%20t%7D%20)
Where:
N(t): is the amount of the sample at time t =?
N₀: is the initial quantity of the sample = 120 g
t = 40 min
λ: is the decay constant = 0.056 min⁻¹
Hence, the mass of the sample after 40 min is:
![N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g](https://tex.z-dn.net/?f=%20N_%7Bt%7D%20%3D%20N_%7B0%7De%5E%7B-%5Clambda%20t%7D%20%3D%20120g%2Ae%5E%7B-0.056min%5E%7B-1%7D%2A40%20min%7D%20%3D%2012.8%20g%20)
Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.
I hope it helps you!
You would multiply all of the numbers to get your answer so it would be 4*5*6*8 which would get you 960.
9:60 is one hours
it takes 15 mins to get to 60
47-15=32
9:45+47=9:45+15:32=10:00+32=10:32 AM