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11111nata11111 [884]
3 years ago
6

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

andomly selected, find the probability that the class length is between 50.4 and 51.4 min.
P(50.4 < X < 51.4) =
Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer:

=0.70

Step-by-step explanation:

p(x < 51.4) = (51.4-50.0)/(52.0-50.0)

p(x < 51.4) =1.4/2

=0.70

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Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
yaroslaw [1]

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3 years ago
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri
yawa3891 [41]

Answer:

cost of one medium drink = $3.80

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Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

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⇒ 3D + 27.7 - 4D = 23.90

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Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

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goblinko [34]

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