Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:

We let the substitution take place.
Therefore, we let 
Thus, 
So,

Also, the interval of the integration changes to [ 37, 65]
Thus,

= 
= 156.5 units²
Answer:
-1
Step-by-step explanation:
If i = √-1, then i^2 = -1.
x=1001+75.55x
Simplify
x=<span><span>75.55x</span>+1001</span>
Subtract
x−<span>75.55x</span>=<span><span><span>75.55x</span>+1001</span>−<span>75.55x</span></span>
−<span>74.55x</span>=1001
Divide
<span><span>−<span>74.55x/</span></span><span>−74.55 = </span></span>
<span><span><span><span><span>1001/<span>−74.55</span></span><span><span>your answer is:</span></span><span>x=<span>−<span>13.42723</span></span></span></span></span></span></span>
Answer:
b. Invalid, because the sample may not be representative of the population.
Step-by-step explanation:
A sample of around 10% of the population is needed to be representative.
In this question:
We have a population of 500,000, and a sample of 10,000.
10,000/500,000 = 1/50 = 0.02 = 2% of the population, so not representative, and option b is correct.
Answer:
H. 2 3/4
Step-by-step explanation:
- DATE >> WATER LEVEL CHANGE (inches)
- August 25 >> -0.75
- September 8 >> -1 3/ 8
- September 22 >> 2.5
- October 6 >> -1/2
- October 20 >> 1 7/8
<u>Total change:</u>
- 1 7/8 - (-0.75) =
- 1+ 7/8 + 3/4 =
- 1 + 7/8 + 6/8 =
- 1 + 13/8 =
- 1+ 1 5/8 =
- 2 5/8
The closest answer option is H. 2 3/4