Answer:
Speed of boat in still water = 64 km/hr
Speed of the current = 11 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water = x km/hr
Let the speed of current = y km/hr
Motorboat travels 371 km in 7 hours going upstream.
Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)
=> ![\[x-y = \frac{371}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%20%5Cfrac%7B371%7D%7B7%7D%5C%5D)
=> ![\[x-y = 53\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%2053%5C%5D)
------------------------------(1)
Motorboat travels 525 km in 7 hours going downstream.
Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)
=> ![\[x+y = \frac{525}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%20%5Cfrac%7B525%7D%7B7%7D%5C%5D)
=> ![\[x+y = 75\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%2075%5C%5D)
-----------------------------(2)
Solving for x and y from (1) and (2):
Adding (1) and (2):
2x = 128
=> x = 64
Substituting the value of x in (1), y = 11
Answer:
68% of an investment earning a return between 6 percent and 24 percent.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 15
Standard deviation = 9
How likely is it to earn a return between 6 percent and 24 percent?
6 = 15 - 1*9
6 is one standard deviation below the mean
24 = 15 + 1*9
24 is one standard deviation above the mean
By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.
C) The volume of the large cone is 3 times the volume of the small cone.
Step-by-step explanation:
Step 1:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius of the large cone is 1.5 inches and the height is 4 inches.
The volume of the larger cone 
So the volume of the larger cone is 9.4245 cubic inches.
Step 2:
Now, we determine the volume of the small cone.
The radius of the small cone is 1 inch and the height is 3 inches.
The volume of the small cone 
So the volume of the smaller cone is 3.1415 cubic inches.
Step 3:
Now we divide the values on the volume of the large cone by the volume of the small cone.
The volume of the large cone by the volume of the small cone
So the volume of the large cone is 3 times the volume of the small cone which is option C.
Answer:
C
Step-by-step explanation: Say Less...
