1. -2x + 3y + 5
A. -x + -x + y + y + y + 1 + 1 + 1 + 1 + 1
B. -x + -x + 2y + y + 4 + 1
D. -5x + 3x + 4y - y + 4 + 1
2. -$40 + 100 = $60 - $50 = $10
Cindy currently has $10 left in her bank account.
Y = -1
It is an isosceles trapezoid, which is just as well, otherwise it could not reflect onto itself. The line of reflection is the same as the mirror line which is the same as the axis of symmetry.
It runs horizontally exactly through the middle of the shape.
All horizontal lines have the equation y = a value
In this case the line is <span>y=−<span>1</span></span>
Answer: 10
<u>Step-by-step explanation:</u>
varies directly means: ![\frac{y}{x} = k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%20k)
Step 1: solve for k ⇒ ![\frac{21}{5} = k](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B5%7D%20%3D%20k)
Step 2: plug in the given value and k to solve for the missing value: ![\frac{42}{x} = \frac{21}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7Bx%7D%20%3D%20%5Cfrac%7B21%7D%7B5%7D)
42(5) = 21(x)
![\frac{42(5)}{21} = \frac{21(x)}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B42%285%29%7D%7B21%7D%20%3D%20%5Cfrac%7B21%28x%29%7D%7B21%7D)
2(5) = x
10 = x
Answer:
Step-by-step explanation:
We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'
Where p' = 14/100= 0.14 (no of left handed sample promotion)
q' = 1-p' = 1-0.14= 0.86
Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326
Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)
= -2.186√0.00325
= -2.186*0.057
= 12.46%
Using p' + z alpha √(p'q'/n)
0.14+2.326√(0.14*0.86/100)
= 0.466*0.057
= 26.5%
Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.