Answer:
271 people
Step-by-step explanation:
Margin of error = critical value × standard error
At 90% confidence, the critical value is 1.645.
Standard error for a proportion is s = √(p (1 − p) / n).
0.05 = 1.645 √(0.52 (1 − 0.52) / n)
n = 271
Answer:
The limit of this function does not exist.
Step-by-step explanation:


To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

and the limit does not exist if

Evaluate the one-sided limits.
The left-hand limit

The right-hand limit

Because the limits are not the same the limit does not exist.
Answer:
x = 4 sqrt(5)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + x^2 = 12^2
64+ x^2 =144
Subtract 64 from each side
x^2 = 144-64
x^2 =80
Take the square root of each side
sqrt(x^2) = sqrt(80)
x = sqrt(16*5)
x = 4 sqrt(5)
Answer:
The length of the frame is 17
Step-by-step explanation:
The computation of the length of the frame is shown below:
As we know that
The perimeter of a rectangle is
= 2 (length + width)
where,
let us assume the width be x
So, the length is x - 6
And, the perimeter is 80 yards
So, now put these values to the above formula
80 yards = 2 (x - 6+ x)
80 yards = 2 (2x - 6)
80 yards = 4x - 12
92 = 4x
x = 23
So, the length of the frame is
= 23 - 6
= 17