The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff? Uniform Color Survey
Sample 1
Sample 2
Sample 3
Beige 3 Beige 12 Beige 7
Blue 7 Blue 5 Blue 15
Black 10 Black 3 Black 18
Sample 1 and sample 2 are most representative because they are the same size.
Sample 1 and sample 3 are most representative because the relationship between preferences is consistent.
Sample 2 and sample 3 are most representative because the samples show a greater variability in preferences.
None of the samples are representative because none of the values remained constant.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

70 years.

step-by-step explanation:

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet