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pav-90 [236]
3 years ago
12

A shuttle service transports passengers from the airport to local hotels. The vans used have room for up to 6 passengers. Data c

ollected over several years indicate that the number of passengers per trip to the hotels follow the following probabilities.
Passengers: 1 2 3 4 5 6
Probability: 0.20 0.25 0.22 0.13 0.10 0.10

Required:
A van leaves the airport for the local hotels. What is the probability there are at least 4 passengers on board?
Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer:

Probability = 0.33

Step-by-step explanation:

Passengers:  1      2       3       4       5       6

Probability: 0.20  0.25  0.22  0.13  0.10  0.10

Let No. of passengers = x ; So probability of at least 4 passengers

Prob (x <u>> </u>4) = Prob (x = 4) + Prob (x = 5) + Prob (x = 6)

= 0.13 + 0.10 + 0.10

= 0.33

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four more than 1/3 would be 1 and 2/3

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Sedaia [141]

Answer:

2044 cups

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number of cups left = number of cups in the watering can - number of cups remaining

convert the capacity of the watering can to cups

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8 0
3 years ago
R = sec(θ) − 2cos(θ), where -π/2 &lt; θ &lt; π/2
Alex

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

  x = r·cos(θ)

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  x² +y² = r²

__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

  r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

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  \boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}

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The attached graph shows the equivalence of the polar and rectangular forms.

4 0
2 years ago
PLEASE HELP AND I NEED STEP BY STEP EXPLNATION
natulia [17]
The answer would be 12 feet square.

That’s because taking out the square is taking out an area of 4 feet square. If you substitute the 4 feet square back in, that would fill in the empty spot marked with the 2 feet by 2 feet dimensions. Then, you could treat it like a rectangle of 4 by 3. If you multiply them you’ll get 12 feet square which is your answer. Hope this helps
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valentinak56 [21]

Answer:

588.6

Step-by-step explanation:

Multiply  

0

by  

0.86

x

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f

(

x

)

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y

e

a

r

s

,

f

(

x

)

=

25

,

0

,

2

y

e

a

r

s

,

3

y

e

a

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s

,

a

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18

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490

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34

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391.4

,

c

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15

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901.4

,

d

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2

,

588.6

3 0
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