Answer:
mode is the most occuring number which is in this case 11
you get the median by putting them in order from least to greatest and them marking them out until you get to the middle but if there are two numbers in the middle you add them and then divide by two and that is your median but in this case your median is 11
you get the mean by adding all the numbers together and dividing by how many numbers there are so in this case you are dividing by 9 and when you add oall of these numbers together you get 98 and 98/9 is 10.8888888889 which you would round and get 10.9
hope this helps
Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
Height of the cone having volume as 
and base area 
is 6 cm.
Solution:
Given that volume of cone = 
Area of base =
Need to determine height of the cone.
Formula for volume of the cone is as follows
Area of circular base of cone = 
Replacing 
in equation (1), we get
In our case Volume of cone 
and Area of base 
On substituting the values of volume and area in equation 2 we get
The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
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