Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
The answer is 125 messages.
Firstly the best thing to do is create two different equations.
1. y=25+.08x
2. y=20+.12x
Then you plug into Desmos and see at what point they cross. They cross at (125, 35).
Therefore for 125 text messages would cost 35$ for each plan.
Answer:
(11r + 8t)(11r - 8t)
Step-by-step explanation:
difference of two squares
Your answer will be y=-3x+4