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Amiraneli [1.4K]
3 years ago
5

An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservation

s for a trip, and a passenger must have a reservation. From previous records, 40% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.)
(a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
(b) If six reservations are made, what is the expected number of available places when the limousine departs?
Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

0.23328,2.4

Step-by-step explanation:

Given that an airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

Assuming independence we can say persons who do not show up is binomial with p = 0.4 and n = 6

a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip

= P(X\leq 1)\\=0.23328

b) Expected no of available places = E(x)=np = 6(0.4) = 2.4

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10+x=5(1/5x+2)
10+x= x+10
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iVinArrow [24]

Answer:

it's b

Step-by-step explanation:

it's b because the lines outside of the equation mean the absolute value of the equation

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3 years ago
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A painting measures b meters by 4 meters. a frame shop charges $10 per meter for a wooden frame. how much would it cost to buy a
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$ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame. This can be obtained by finding the perimeter of the painting and multiplying with the cost of wood per meter.

<h3>What is the cost of buying a frame for the painting?</h3>

Given that,

length of the painting (l) = b meters

width of the painting (b) = 4 meters

Perimeter of the painting = 2(l+b)

                                          = 2(b+4)

                                          = 2b + 8

Cost of the frame = (2b + 8)× $10 per meter

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Hence $ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame.

Learn more about finding cost of frame:

brainly.com/question/16757070

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Step-by-step explanation:

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3 years ago
Darrel divided 575 by 14 by using partial quotients. What is the quotient ? Explain your answer using numbers and words.
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575 / 14

Use easy multiples of 14 that do not exceed 575. Use 10.

(1) 14*10 = 140    575 -140 = 435

(2) 14*10 = 140    435 - 140 = 295

(3) 14*10 = 140    295 -140 = 155

(4) 14*10 = 140   155 - 140 = 15

Now you cannot use another 10*14. Then just divide 15 by 14 which gives 1 and have remainder 1

(5) 15/14  = 1

15 - 14 = 1 = Remainder

Then, the sum of the partial quotients is 10+10+10+10+1 = 41; and you have remainder 1, therefore 575 = 41*14 + 1

And the result of the division is 575/14 = 41 plus remainder 1

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