Answer:
b
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)
m = 
= - 
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = + c ⇒ c = 2 - = 
y = - x + ← in point- slope form
Multiply through by 4
4y = - x + 7 ( add x to both sides )
x + 4y = 7 → b
Answer:
The 95% confidence interval is 
A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as
=> 
=> 
Next we obtain the critical value of 
from the normal distribution table , the value is
Generally the margin of error is mathematically represented as
substituting values
The 95% level of confidence interval is mathematically represented as
substituting values
The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
16m^4+20m^2-20m^2-25
Answer: 16m^4-25
