Answer: 
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is 
Suppose the height of the building is 
From the figure, we can write

The height of the building is 45.03 ft
Answer:
lower 95% Cl is 0.292
Step-by-step explanation:
p^ = 0.4783
n = 23
for 95% Cl,
z = 1.9600
Inputting all the available data into P as attached below
LCL = 0.292
UCL = 0.670
therefore, lower 95% Cl = 0.292
Answer:
You need to buy 5 bags of flour
Step-by-step explanation:
Each bag is 500g and needs 2.5kg.
If we replace 2.5kg it goes to 2500g.
2500g / 500g = 5 bags
Answer:
3 * 10^6 if the answer is 3.64 * 10^6, you really ought to argue the meaning of estimate with your instructor.
Step-by-step explanation:
This is a very valuable question. Put your calculator away when you answer it. Using a calculator is sort of cheating.
1.3 * 10^3 roughly is roughly 1 * 10^3
2.8*10^3 hours is roughly 3 * 10^3
Forget the powers for now and just work with the 1 and 3
1*3 equals 3.
10^3 * 10^3 = 10^6 when the base of two numbers is the same (10 in this case) then the powers are added.
10^(3 + 3) = 10^6
So the answer is roughly 3*10^6
Now you can take out your calculator and get the answer.
1.3*10^3 * 2.8 * 10^3 = 3.64 * 10 ^ 6
Notice that the estimate (done in my head) is close enough to tell you what the answer should be. On a test, that's a very handy skill.