Mathematics
09.06.2021 15:06
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imagine you re in a queue to the airport check-in desk if two-thirds of the queue

imagine you're in a queue to the airport check-in desk if two-thirds of the queue is in front of you and three tenths of the queue is behind you how many people are in the queue
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studyowl1087
studyowl1087
5,0(6 marks)
2/3 in front x10
3/10 behind x3

20/30 In front
9/30 behind

20/30+9/30= 29/30
30 people are in the queue
caguil00
caguil00
4,9(35 marks)

Step-by-step explanation:

Let x be the number of people in the queue, including yourself.

We have 2/3 x + 1 + 3/10 x = x.

=> 29/30 x + 1 = x

=> x/30 = 1

=> x = 30.

Hence there are 30 people in the queue.

person779
person779
4,4(16 marks)

[a]. sample is 25 randomly selected students

    also population is all students

[b]. (20.0, 23.0)

[c]. (8.8, 24.2)

Step-by-step explanation:

here is a step by step process to solving this, i hope you find this helpful.

1). The population is all students who graduated from his school  while the

sample is 25 randomly selected students from the email list

2). given alpha = 1-0.86=0.14

critical z value(two tailed) for 86% confidence level is:

z=normsinv(0.07) or normsinv(0.93)=1.476

Margin of error=1.476*(4.6/SQRT(20))=1.5

86% confidence interval for population mean

=21.5+/-1.5

=(20.0, 23.0)

3). if population standard deviation is not known,we will use t distribution.

df=20-1=19

t*=tinv(0.05,19)=2.093

Margin of error=2.093*(5.7/sqrt(20))=2.7

95% confidence interval for population mean

=21.5+/-2.7

=(18.8, 24.2)

cheers i hope this helps

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