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nadezda [96]
3 years ago
11

A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in

the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?
Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

P(Bedroom) = 0.4

P(Kitchen) = 0.1

P(Bathroom) = 0.2

P(Living\ room) = 0.15

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)

Probability = 1 - 0.85

Probability = 0.15

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

Probability = P(Bedroom) + P(Kitchen)

Probability = 0.2 + 0.1

Probability = 0.3

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1.89 x 0.29 = 0.5481

Note that it is a markdown, so subtract 0.55 (rounded) with 1.89

1.89 - 0.55 = 1.34

The spark plug now costs ~ $1.34

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4 years ago
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Please help for D, E and F
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3 years ago
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force act
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The forces have a magnitude of 59 pounds, and their direction angles are zero.

<h3>What is the magnitude of force?</h3>
  • The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
  • When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
  • According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.
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Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

#SPJ4

7 0
2 years ago
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho
padilas [110]

Answer:

$8.5 per hour

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Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

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Overtime pay = 1 1/2x = 3/2x

Therefore ;

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Help me please ^^ much appreciated
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Answer:

C

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