The answer is 25 miles per day.
one mile = 8 furlongs
fortnight = 2 weeks = 14 days
convert furlongs to miles;
2800/8 = 350 miles
it means you travel 350 miles in 14 days
miles per day = 350/14 = 25
Thus, you travel 25 miles per day.
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
W= width
l= 2w= length
Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation
180= 2(2w + w)
multiply 2 by parentheses
180= 4w + 2w
combine like terms
180= 6w
divide both sides by 6
30 yards= w
LENGTH
2w= 2(30)= 60 yards
CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180
ANSWER: the width is 30 yards and the length is 60 yards
Hope this helps! :)
B): x=8, y=8root2, z=16
c): x=4, y=12, z=8root3
The ones later one you can do by your self.
30 60 90 triangle side ratio: 1:root3:2
90 45 45 triangle side ratio: 1:1:root2
D represents dolls
1/3×18+1/6×18+d=18
18/3+18/6+d=18
6+3+d=18
9+d=18
d=18-9
d=9