Answer:
The required probability is 0.0855
Step-by-step explanation:
Consider the provided information.
The daily revenue has mean $7200 and standard deviation $1200.
![\mu_{\bar x}=7200](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%20x%7D%3D7200)
![\sigma=1200](https://tex.z-dn.net/?f=%5Csigma%3D1200)
The daily revenue totals for the next 30 days will be monitored.
![\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20x%7D%3D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\sigma_{\bar x}=\frac{1200}{\sqrt{30}}=219.089](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20x%7D%3D%5Cfrac%7B1200%7D%7B%5Csqrt%7B30%7D%7D%3D219.089)
As we know ![Z=\frac{\bar x-\mu_{\bar x}}{\sigma_{\bar x}}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B%5Cbar%20x-%5Cmu_%7B%5Cbar%20x%7D%7D%7B%5Csigma_%7B%5Cbar%20x%7D%7D)
Substitute
in above formula.
![Z=\frac{7500-7200}{219.089}=1.3693](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B7500-7200%7D%7B219.089%7D%3D1.3693)
From the standard normal table P( Z >1.3693) = 0.0855
Hence, the required probability is 0.0855
Answer:
287 books
Step-by-step explanation
there was already 239 books. when the problem mentoins that Mary ADDS MORE books to the shelf, the operation is addition.
239+48=287
Answer:
to find the scale factor we just need to take one of the side lengths of the larger figure, 20, and divide it by the corresponding side length in the smaller figure, 8. Therefore 20/8 is correct
Step-by-step explanation:
Answer:
$1,618.67
Step-by-step explanation:
converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Putting time into years for simplicity,
7 months / 12 months/year = 0.583333 years.
Solving our equation:
A = 1600(1 + (0.02 × 0.583333)) = 1618.666656
A = $1,618.67
The total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 2% per year for 0.583333 years (7 months) is $1,618.67.