Complete Question
A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?
Answer:
The margin of error is 
The sample mean is 
Step-by-step explanation:
from the question we are told that
The upper limit is 
The lower limit is 
Generally the margin of error is mathematically represented as
Generally the sample mean is mathematically evaluated as
=> 
=>
106.666667
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Answer:
Check below
Step-by-step explanation:
With the information given, let's consider some aspects of Sandy Beach behavior.
1. Sandy Beach
Let's calculate the period of this function
The Period of sin function is 
2. Verifying the Range, in this case the lapse of time.
A <em>sin</em> function varies from -1 to 1, i.e.
![-1\leq sin(s) \leq1 \therefore-4\leq 4sin(s)\leq4 \\ adding \:the\:5\\-4+5\leq 4sin(s)\leq4+5\\\\\1\leq4sin+5\leq9 \therefore t=[1,9]\\](https://tex.z-dn.net/?f=-1%5Cleq%20sin%28s%29%20%5Cleq1%20%5Ctherefore-4%5Cleq%204sin%28s%29%5Cleq4%20%5C%5C%20adding%20%5C%3Athe%5C%3A5%5C%5C-4%2B5%5Cleq%204sin%28s%29%5Cleq4%2B5%5C%5C%5C%5C%5C1%5Cleq4sin%2B5%5Cleq9%20%5Ctherefore%20t%3D%5B1%2C9%5D%5C%5C)
So, within an interval form 1 to 9 hours the waves at Sandy Beach come and go.
3. Check the graph below.
Answer:
The second one is a scalene triangle
Answer:
Area = 142.5 square inches
Step-by-step explanation:
So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is
Area = length×width
= 9 × 9.5
= 85.5
The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height
Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.
The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".
Roof height= 21 - 9
= 12 inches
Area_roof
=1/2 × base × height
=1/2 × 9.5 × 12
= 57 square inches
Total area is bottom plus roof (the rectangle and the triangle)
Total Area
= 85.5 + 57
= 142.5 sq in
