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Basile [38]
3 years ago
15

Mia is taking art and calculus courses on Mondays. She is late for the art class with probability 0.5 and late for the calculus

class with probability 0.4. Suppose the two events are independent. What is the probability that Mia is on time to exactly one of the classes (write it up to first decimal place)?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

0.5

Step-by-step explanation:

Let the probability of being late for Art class be a = 0.5 and the probability of being on time for Art class be b = 1 - a = 0.5

Let the probability of being late for Calculus class be c = 0.4 and the probability of being on time for Calculus class be d = 1 - a = 0.6

Probability of being on time in exactly one of the classes = Probability of being ((on time for Art and late for Calculus) or (on time for Calculus and late for art))

= (b × c) + (d × a) = (0.5 × 0.4) + (0.6 × 0.5) = 0.2 + 0.3 = 0.5

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Based on the advertisement seen by Dazuri, the cost of each soccer ball is $22.50

<h3>How to find the cost?</h3>

The advertisement says that the original cost of the ball is $30 but there is a 25% discount.

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What is the answer to 7/5 = 10.5/b
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Step-by-step explanation:

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A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
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Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

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Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

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b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

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Step-by-step explanation:

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120% of what number is 20.4
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