Answer:
3192 persons! ✔️
Step-by-step explanation:
From the statement, we know that μ = 40 [minutes] and σ = 6 [minutes]
There are 3900 people. And we need to find how many of the lie within one standard deviation below the mean and two standard deviations above the mean.
We need to find the probability between: 34 minutes and 52 minutes. With the help of a calculator we get that the probability is: P(34<z<52) = 0.8186
Therefore, 0.8186×3900 = 3192 persons! ✔️
This may be a simple interest computation.
Simple Interest = Principal * interest rate * term
Principal = 1,000
interest rate = 3%
term = 2 years
Simple Interest = 1,000 * 0.03 * 2
Simple Interest = 60
Total Amount after 2 years: 1,000 + 60 = 1,060
Answer:
The shortest possible length for the bypass road is 1,275 miles
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem triangles ABC and CDB are similar by AA Similarity Theorem
so
![\frac{BC}{DB}=\frac{AC}{CB}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BDB%7D%3D%5Cfrac%7BAC%7D%7BCB%7D)
substitute the given values
![\frac{850\sqrt{3}}{DB}=\frac{1,700}{850\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B850%5Csqrt%7B3%7D%7D%7BDB%7D%3D%5Cfrac%7B1%2C700%7D%7B850%5Csqrt%7B3%7D%7D)
solve for DB
![DB=({850\sqrt{3})^2/1,700](https://tex.z-dn.net/?f=DB%3D%28%7B850%5Csqrt%7B3%7D%29%5E2%2F1%2C700)
![DB=1,275\ miles](https://tex.z-dn.net/?f=DB%3D1%2C275%5C%20miles)
therefore
The shortest possible length for the bypass road is the distance DB (perpendicular distance from right angle to the hypotenuse triangle ABC)
3/8 because 1/4 is equal to 2/8.
i think your supposed to divide the time by distance that's all i figured out