Answer:
175.84 m
Step-by-step explanation:
Given that:
A circular garden which has a radius of 28 m.
= 3.14
To find:
The fencing required to enclose the circular garden ?
Solution:
Here, we are given a circle and its radius.
We are required to find the perimeter of the circle in order to find the fencing required to enclose the circular garden..
Formula for finding the perimeter of a circle is:
Perimeter = 
where
is the radius of the circle.
Using the given values in the formula:
Perimeter =
= <em>175.84 m</em>
Therefore, 175.84 m of fencing is required.
Answer:
The right answer is:
(a) 0.1456
(b) 18.125, 69.1202, 8.3139
Step-by-step explanation:
Given:
N = 24
n = 5
r = 7
The improperly drilled gearboxes "X".
then,
⇒ 
(a)
P (all gearboxes fit properly) = 
= 
= 
(b)
According to the question,

Mean will be:
⇒ 





Variance will be:
⇒ 





Standard deviation will be:
⇒ 
Please make the copy of the paper clearer
Answer: -31
Step-by-step explanation: 1.) Plug in -6 for c
2.) equation will then be: 6(-6)+5
3.) use PEMDAS: multiply first then addition
4.) 6(-6) equals -36
5.) add -36+5 which equal -31
Therefore your answer should be -31
Answer:
sum(2^(n+1), for n=1 to 6)
Step-by-step explanation:
To answer this question, you need to know two things:
- what is an expression for the n-th term
- how many terms are there
__
The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...
an = a1×r^(n-1) . . . . first term a1, common ratio r
You can use this form directly in your summation expression, or you can simplify it a bit.
an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)
an = 2^(n+1)
__
The value 128 is 2^7, so n+1 = 7, or n=6 for that term
Your summation expression could be ...

_____
<em>Additional comment</em>
The n-th term can also be written as 2×2^n.