Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒ 
m
One revolution of the water wheel corresponds to 
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
= 
/min
Using this result, the speed of the river in kilometers per hour will be:
× 
× 
⇒ 
⇒ 
≈ 
km/h
Sum of angle in a triangle is 180, so 33+70+x=180
x=77
x and y are vertical angles so y=77
It is 80. Opposite angles in a parallelogram are equal.
Answer:
And we can find the probability with this difference:
And using the normal standard table or excel we got:
And the best answer would be:
0.3811
Step-by-step explanation:
Let X the random variable that represent the ratings of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using the z score we got:
And we can find the probability with this difference:
And using the normal standard table or excel we got:
And the best answer would be:
0.3811
