Answer:
y = -3/2x + 3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 3x + 2y = 6
<u>Step 2: Find slope-intercept form</u>
- Subtract 3x on both sides: 2y = 6 - 3x
- Divide both sides by 2: y = 3 - 3/2x
- Rewrite: y = -3/2x + 3
And we have our final answer!
Answer: cops are pigs
Step-by-step explanation: they smell like bacon
Answer:
$10.50
Step-by-step explanation:
The formula is Balance= Principle (starting amount) x Time x Interest rate. 350 x .03 x 1 is $10.50.
Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
Answer:
P = 2(x + 5) + 2(2x - 3)
Step-by-step explanation:
GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate?
The shape of the gate is rectangular.
Hence, the Perimeter of a rectangle (the gate) = 2L + 2W
Where :
L = GR = x + 5
W = GP = 2x - 3
Hence,the perimeter of the gate is
P = 2(x + 5) + 2(2x - 3)
