<h3>
Answer: 11/20</h3>
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Work Shown:
x = unknown horizontal length
1/5 = 0.2
Perimeter = 2*(width + length)
P = 2*(0.2 + x)
P = 0.4 + 2x
Set this equal to the given perimeter of 1 & 1/2 = 1.5 and solve for x
0.4 + 2x = 1.5
2x = 1.5-0.4
2x = 1.1
x = (1.1)/2
x = 0.55
x = 55/100
x = (5*11)/(5*20)
x = 11/20
Answer:
SUM OF ALL ANGLES OF A TRIANGLE =180
THEREFORE,
X+8+2X-3+6X-5=180
9X=180
X=20.
THEREFORE,<J=X+8=20+8=28
<K=6X-5=6*20-5=120-5=115
<L=2X-3=2*20-3=40-3=37.
Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X
N (µ, σ²), then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Thus, the z-score for an income of $2,100 is 1.
Area of the rectangle minus area of 2 circles
Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16
Answer is:
128 - 2(3.14•16) square inches
Answer:
(6x-5y)(20y-23x)
Step-by-step explanation:
x(6x - 5y) - 4(6x - 5y)^2
= (6x-5y)(x-4(6x-5y))
= (6x-5y)(x-24x+20y)
= (6x-5y)(20y-23x)