1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gayaneshka [121]
2 years ago
15

A student comes to lecture at a time that is uniformly distributed between 5:09 and 5:14. Independently of the student, the prof

essor begins the lecture at a time that is uniformly distributed between 5:10 and 5:12. What is the chance that the lecture has already begun when the student arrives?
Mathematics
1 answer:
scZoUnD [109]2 years ago
3 0

Answer:

1/2

Step-by-step explanation:

The lecture has already begun when the student arrives means one of these scenarios happen:  

1) the class started at 5:10 and the student arrives at 5:11 or 5:12 or 5:13 or 5:14

2) the class started at 5:11 and the student arrives at 5:12 or 5:13 or 5:14

3) the class started at 5:12 and the student arrives at 5:13 or 5:14

Given student time of arrival is uniformly distributed, then the probability he/she arrives at 5:09 or 5:10 or 5:11 or 5:12 or 5:13 or 5:14 is 1/6.

So,  the probability that the student arrives between 5:11 and 5:14 is 1/6 + 1/6 + 1/6 + 1/6 = 2/3.

The probability that the student arrives between 5:12 and 5:14 is 1/6 + 1/6 + 1/6 = 1/2.

The probability that the student arrives at 5:13 or 5:14  is 1/6 + 1/6 = 1/3.

Given class starting time is uniformly distributed, then the probability it starts at 5:10 or  5:11 or 5:12 is 1/3.

Given the two events are independent, the probability of the first scenario is: (1/3)*(2/3) = 2/9

For the second scenario:  (1/3)*(1/2) = 1/6

For the third scenario:  (1/3)*(1/3) = 1/9

Because all of these scenarios are mutually exclusive the total probability of one of them happen is: 2/9 + 1/6 + 1/9 = 1/2

You might be interested in
-9(-5k+3m) +9m-5(-5m+9k)
liraira [26]

Answer:

the ansmwer is * grabs a notebook and doodle the equation* hmm.. it is 7m

happy to help!!!

3 0
2 years ago
FREE BRAINLEST Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters. She wants to sew a fringe ar
Nadusha1986 [10]

Answer:

The answer is 1400

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Need help with cross multiplying
saw5 [17]
So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!
4 0
3 years ago
What is the value of [(2/3)^0]^-3
sleet_krkn [62]
The answer to this question would be 1/8 or in decimal form it would be 0.125. hopefully this helps with your question.
8 0
3 years ago
A triangular pyramid has lateral faces with bases of 6 meters and heights of 9 meters. The area of the base of the pyramid is 15
charle [14.2K]
Bases+faces=surface area
15.6+81=96.6
Because 1/2*6*9=27*3=81
4 0
2 years ago
Read 2 more answers
Other questions:
  • I need help with number 3
    10·2 answers
  • A is directly proportional to b such that a = 2b. what is a if B =3? Also, what is b if a =7?
    12·2 answers
  • Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?
    13·2 answers
  • Evaluate the expression. 80+(8 times 4) divided 2
    6·1 answer
  • Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of $36.25. Each donut cost $0.75 and each b
    8·1 answer
  • Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm​
    15·1 answer
  • Write the equation of the line that passes through the points (0,–2) and (4,5). Put
    14·1 answer
  • At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students
    11·1 answer
  • Which statements are true about triangle ABC and it’s translated image, A’ B’ C’? Select two options
    11·1 answer
  • Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. ben has $5,000 in savings and a balance of $1,400 o
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!