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DerKrebs [107]
3 years ago
15

You are flying from Denver to Albuquerque. The distance is 349 miles between airports and takes 1 hour and 20 minutes to travel

once the plane is in the air. It takes approximately 2 hours to check in to the airport and get seated. It takes 1 hour after seating for the plane to take off. It takes 1 hour once at the air port to disembark, and 1 hour to get a rental car and get back on the road. The whole trip can be driven by car in 6 hours. Which trip is faster: Car or plane?
Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

  • car trip is faster than plane trip

Step-by-step explanation:

The less time the trip takes the faster the trip is.

<u>1. Plane</u>: build a table with the given times for flying and sum up every stage of the flying trip:

Stage                                                 time

  • On air                                       1 h: 20'
  • Check in and get seated        2 h
  • To take off                                1 h
  • Disembark                                1 h
  • Get a rental car                        1 h

                                                        ______

                                      Sum            6 h: 20'

<u>2. Car</u>.

  • Given total time: 6 h

<u>3. Comparisson</u>: 6 h < 6 h : 20' ⇒ car trip is faster than plane trip

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Step-by-step explanation:

Plug -5 into both equations and you get -11

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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

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(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

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2 years ago
Help please with number 11
Jobisdone [24]

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No

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erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

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As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

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Hence,

The length of slide is 18.36 meters

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