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stepladder [879]
2 years ago
14

Let's consider the time as a discrete variable with an increment of 1 minute. You arrive at a bus stop at 10 AM, knowing that th

e bus will arrive at some time uniformly distributed between 10 and 10:30.
(a) What is the probability that you will have to wait longer than 10 minutes?
(b) If, at 10:10, the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?
Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

Answer:

a) 2/3

b) 1/3

Step-by-step explanation:

Let X be the random event that measures the time you will have to wait.  

Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute

P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.

a)

P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3

b)

P(10 <  X ≤ 20) = (20-10)/30 = 1/3

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|PQ| = √(12)² + 81

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Evaluate the expression 2x-y for x=17 and y=12
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Jackson sells toolboxes for farming tools. He plans on selling them during a fair this weekend. Jackson estimates he will sell t
Nataly [62]

The linear equation for the given situation is represented as:

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correct answer option: b

<h3>What is a linear equation with two variables?</h3>

A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).

Given:

We use variables to represent the cost of the big and the smaller boxes.

According to the question, let x be the selling price of the big boxes.

The selling price of the bigger boxes is y.

The total selling price of the smaller boxes is 20x.

The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300 on the total transaction.

Hence the linear equation in two variables for the given situation is represented as:

20x + 12y = 1,300

To learn more about linear equations in two variables visit:

brainly.com/question/24085666

#SPJ4

I understand that the question you are looking for is:

Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?

A-  y+12=20(x-1300)

B-  y=- \frac{5}{3}x+ \frac{325}{3}

C-  20x+12y=1300

D-  12y=20x-1300

6 0
9 months ago
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