Name the sampling method that will best represent the whole population in each situation. Explain your answer.
3. Student satisfaction with the middle school cafeteria.
Method A: Survey 40 students in two seventh-grade math classes.
72 percent are satisfied with the food in the cafeteria.
Method B: Survey 65 students from a list of all students in the school.
85 percent are satisfied with the food in the cafeteria.
Method best represents the whole population of the school.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

8

step-by-step explanation: