The equation of a line given the slope and y-intercept is given as;
m(x-x₁) = (y-y₁)
∴equation of line with m = 2 and y-intercept = (0,3) =
2(x - 0) = (y - 3)
= 2x - 0 = y - 3
making y the subject obtains y = 2x + 3.
so, equation of the line: y = 2x + 3.
Answer:
b
Step-by-step explanation:
Answer:
95% Confidence interval: (111.02,112.98)
Step-by-step explanation:
Average = 112 seconds
Standard Deviation = 9 seconds
n = 324
Confidence interval:
Putting the values, we get,
f(x)=secx.
f'(x)=sec x tan x.
Use the product rule to find f ' '(x).
F ' '(x)=(secxtanx)tanx+secx(sec2x).
So, f ' '(x)=secxtan2x+sec3x.
Evaluate:f ' '(π4)=sec(π4)tan2(π4)+sec3(π4)=(√2)(1)2+(√2)3=√2+2√2=3√2.