A) l = 3
b) j = 7
c) k = 5
d) m = 7
e)n = 10
f) r = 7
j) q = 16
h) k = 13
l) m = 12
k) n = 7
l) r = 8
m) q = 9
Answer:
The boat will be approaching the dock at 12.05 ft. per min.
Step-by-step explanation:
See the attached diagram.
Let, P is the position of the pulley and B is the position of the boat.
So, from the right triangle Δ ABP,
AB² = PB² - AP² .............. (1)
= 90² - 8²
= 8036
⇒ AB = 89.64 ft.
Now, differentiating equation (1) with respect to time, t in minutes, we get
{Since AP is constant}
⇒
⇒ ft. per minute.
Therefore, the boat will be approaching the dock at 12.05 ft. per min. (Answer)
Answer:
On the image
Step-by-step explanation:
...............
Answer: 90.82%
Step-by-step explanation:
Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .
Mean :
Standard deviation:
Let X be the random variable that represents the amount of soda in bottles.
Formula for z-score :
Z-score for 16 oz:
Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_
Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .
Answer:
240 inches squared
Step-by-step explanation: