Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' = 
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + 
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 =
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 =
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Answer: A
Step-by-step explanation:
A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.
B.) the substitution and income effects would both predict Ethan would consume less of both goods.
C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.
D.) the substitution and income effects would both predict Ethan would consume more of both goods.
If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.
A global efect of a certain good (X) price rise can be divided into 2 efects:
- substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
- income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.
So, answer is A.
Answer: a) 0.25, b) 0.78, c) 0.71
Step-by-step explanation:
Since we have given that
Number of employees in marketing = 4
Number of employees in management = 7
We need to hire committee of 3 people.
a) Find the probability that the committee has exactly 2 employees from marketing.
So, Probability becomes
b) Find the probability that the committee has at least one employee from marketing.
c) Find the probability that the committee has at most one employee from management.
Hence, a) 0.25, b) 0.78, c) 0.71
