Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
Answer:
Confidence interval is 0.7 ≤ p ≤ 0.8
The margin of error is 7.1 %
Step-by-step explanation:
We have to calculate a 98% confidence interval for the proportion.
The sample proportion is p=0.75.
The standard error of the proportion is:
Here we have, the proportion or point estimate given by
= 150/200 = 0.75
Sample size, n = 200
The formula for confidence interval, CI, given a proportion, is;
At 98% z = ±2.326348
Plugging in the values of, , z and n we get;
CI = 0.6787704 ≤ p ≤ 0.8212296
To one decimal place, we have
CI = 0.7 ≤ p ≤ 0.8
since the hypotenuse is just the radius unit, is never negative, so the - in front of 8/17 is likely the numerator's, or the adjacent's side
now, let us use the pythagorean theorem, to find the opposite side, or "b"
so... which is it then? +15 or -15? since the root gives us both, well
angle θ, we know is on the 3rd quadrant, on the 3rd quadrant, both, the adjacent(x) and the opposite(y) sides are negative, that means, -15 = b
so, now we know, a = -8, b = -15, and c = 17
let us plug those fellows in the double-angle identities then
Answer:
a) (x+2)^2-2
Step-by-step explanation:
write in form of x^2+2ax+a^2
2a=4
a=2
so
x^2+4x+2^2
we will now convert into the form:
x^2+2ax+a^2=(x+a)^2
substitute the values:
x^2+4x+2^2=(x+2)^2
(x+2)^2-2+2^2
(x+2)^2-2
