Use the concept of Lagrange multipliers.
Answer:
cos34°
sin56°
Step-by-step explanation:
Sin(2x+42)= sin90-(3x+13)
Sin(2x+42) = sin(90-13-3x)
Sin(2x+42) = sin(77-3x)
2x + 42 = 77-3x
5x. = 35
X = 7
If x = 7
cos(3x+13) = cos((3*7)+13)
cos(3x+13) = cos(21+13)
cos(3x+13)= cos34
And
sin(2x+42) = sin((2*7)+42)
sin(2x+42)= sin (14+42)
sin(2x+42) = sin56
Y is going to be the number 40
x will equal 90
Answer:
2x
Step-by-step explanation:
Answer: ($3.532, $4.166)
Step-by-step explanation:
Given : Significance level : 
Critical value : 
Sample size : n= 157
Sample mean : 
Standard deviation : 
The confidence interval for population mean is given by :_


Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)