Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 3 is in this form
with m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , hence
y = x + c ← is the partial equation
To find c substitute (4, 12) into the partial equation
12 = 5 + c ⇒ c = 12 - 5 = 7
y = x + 7 ← equation of perpendicular line
Answer: 1,431
<u>Step-by-step explanation:</u>
split the thing into two rectangular prisms
small prism dimensions: 18 x 2 x 3
multiply the dimensions to get 108
large prism dimensions: 7 x 21 x 9
multiply the dimensions to get 1,323
add 1,323 and 108 together to get 1,431
The simplest form of 21/35 is 3/5
He will use any unit of length he wants (inches, feet, etc.), but squared
Answer:
n = 43 samples
Step-by-step explanation:
Error margin, E = 0.15
Confidence Interval, CI = 95% = 0.95
Significance level, α = 1 - 0.95
α = 0.05
α/2 = 0.025
To calculate population proportion, the sample size formula is:
n = 0.25 [(Zα/2) /E]²
Zα/2 = Z₀.₀₂₅ = 1.96
n = 0.25 * [(Z₀.₀₂₅)/E]²
n = 0.25 * [1.96/0.15]²
n = 42.68
n = 43 samples