distance= rate ÷ time
time= rate ÷ distance
time= 200 km/hr ÷ 1400 km
time= 1/7 hr or 0.1428... hr
1 mile is the difference between mount Taylor and mount Sullivan
Answer:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
= ![P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025](https://tex.z-dn.net/?f=P%28professor%20arrives%20at%208.21%29%2FP%28professor%20arrives%20after%208.20%29%5C%5C%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B60%7D%20%7D%7B%5Cfrac%7B40%7D%7B60%7D%20%7D%20%5C%5C%3D%5Cfrac%7B1%7D%7B40%7D%20%5C%5C%3D0.025)
Answer:
The radius is 9 mm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where r is the radius
972 pi = 4/3 pi r^3
Divide each side by pi
972 = 4/3 r^3
Multiply each side by 3/4 to isolate r^3
3/4 * 972 = 4/3 * 3/4 r^3
729 = r^3
Take the cube root of each side
(729) ^ (1/3) = (r^3) ^ (1/3)
9 = r
The radius is 9 mm
Answer:
PS=![\sqrt{26}units](https://tex.z-dn.net/?f=%5Csqrt%7B26%7Dunits)
Step-by-step explanation:
Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).
To find:: Length of the side PS
Solution : Using the distance formula, we can find the length of the side PS, therefore
PS=![\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28y_%7B2%7D-y_%7B1%7D%29%5E2%2B%28x_%7B2%7D-x_%7B1%7D%29%5E2%7D)
PS=![\sqrt{(-1-4)^{2}+(8-7)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%288-7%29%5E2%20%7D)
PS=![\sqrt{(-5)^2+(1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-5%29%5E2%2B%281%29%5E2%7D)
PS=![\sqrt{25+1}](https://tex.z-dn.net/?f=%5Csqrt%7B25%2B1%7D)
PS=![\sqrt{26}units](https://tex.z-dn.net/?f=%5Csqrt%7B26%7Dunits)
which is the required length of the side PS.