Answer:
7/20:1/4:2/5
Step-by-step explanation:
Answer:
$60.
Step-by-step explanation:
Cost price= $50
Selling price = $80
Percentage markup = Gain/Cost price x 100%
=30/50x100
=$60.
Answer:
Jaime's. Interval not centered around the point estimate.
Step-by-step explanation:
When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.
For Jaime's interval
Lower bound = 0.078
Upper Bound = 0.193
For Mariya's interval
Lower bound = 0.051
Upper Bound = 0.189
For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.
Answer:
12
Step-by-step explanation:
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
