Answer:
The expression for length of fence in meters is: 6w+20 meters
Step-by-step explanation:
Let l be the length and w be the width of the given garden
Then according to given statements
Eqn 1
As we have to find the length of fence to fully surround garden that means the perimeter has to be found.
The formula for perimeter is given by:
Putting the values
Hence,
The expression for length of fence in meters is: 6w+20 meters
Answer:
The sum of the first 51 terms of the sequence is 6018
Step-by-step explanation:
AP: −282,−266,−250,−234,...
First term = a = -282
Common difference = d =
Common difference = d = -266-(-282)=-250-(-266)=16
Formula of sum of first n terms =
Substitute n = 51
So,
Hence the sum of the first 51 terms of the sequence is 6018
Answer:
a) 15.579
b) 39.019
Step-by-step explanation:
a) For the top 2% the z-value from the z table
z = 2.054
thus,
z =
here
X = 132
Mean = 100
thus,
2.054 =
or
σ = 15.579
b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159
By interpolation, values for 0.815 and we get Z=0.897
thus,
z =
here
X = 220
Mean = 185
thus,
0.897 =
or
σ = 39.019