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AURORKA [14]
3 years ago
5

To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Write and solve an equatio

n to find the number of minutes it will take to serve a party of 8? Please show all of your work!
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

The number of minutes it take to serve 8 person in party is 24 min

Step-by-step explanation:

Given as :

To serve 1 person at a local restaurant it take 10 minutes

To serve 5 person at a local restaurant it take 18 minutes

So, From given information . it is clear that ,

For ( 1 + n ) person to serve , the time required is ( 10 + 2 n) minutes

Take  n = 1 ,  For ( 1 + 1 ) person to serve , the time required is ( 10 + 2×1) min

I.e                      for 2 person to serve , time required is 12 min

Take n = 2 ,  For ( 1 + 2 ) person to serve , the time required is ( 10 + 2×2)min

I.e                      for 2 person to serve , time required is 14 min

Similarly for n = 7

For ( 1 + 7 ) person to serve , the time required is ( 10 + 2×7) min

I.e For 8    person to serve , the time required is 24 min

Hence The number of minutes it take to serve 8 person in party is 24 min  Answer

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3 years ago
Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct
Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

3 0
3 years ago
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