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]
3 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]3 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
What quadrant does -495 lie in?
Sati [7]
It would lie between 180 and 220
7 0
3 years ago
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila
Ierofanga [76]

Answer: \triangle XYZ \sim \triangle GFH by AA.

Step-by-step explanation:

Finding the third angle in triangle XYZ,

m\angle YXZ=180^{\circ}-77^{\circ}-48^{\circ}=55^{\circ},

Thus, \triangle XYZ \sim \triangle GFH by AA.

3 0
2 years ago
What is the slope of the line?
postnew [5]

Answer:\frac{3}{10}

Step-by-step explanation:

\frac{1.5}{5} simplifies if you divide by .5 to \frac{3}{10}

7 0
2 years ago
2(5 + 9) – 6 plz help me i need it in 2 minuts
pishuonlain [190]

Answer:

2(5+9)_6

=10+18_6

=22

is it wht u require

7 0
3 years ago
Tara is saving for an overseas trip. Her taxable income is usually about $20000. She estimates that she will need $5000 for the
wolverine [178]

An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.

Given that:

Earnings = \$20000 --- normal earnings

Amount = \$5000 ---- the amount needed

From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.

Let the additional amount be x.

So, the equation that calculates the amount needed (after tax) is:

x(1 - 19\%) = 5000

Express as decimal

x(1 - 0.19) = 5000

x(0.81) = 5000

Make x the subject

x = \frac{5000}{0.81}

x = \$6173

Hence, she needs to make an extra of $6173 to save $5000

Read more about taxable income at:

brainly.com/question/17347618

4 0
2 years ago
Other questions:
  • The football team has a total of 50 jerseys. There are 10 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized j
    8·2 answers
  • What is the value of x? Enter your answer in the box.
    8·1 answer
  • Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why o
    9·1 answer
  • The correct answer is D but i don’t understand
    9·2 answers
  • Keevyn has a bag of Jolly Ranchers. Keevyn gave 3/8 of the bag to Zavion and 1/4 of the bag to Qeisha. Then keeyvn gave 1/2 of t
    14·2 answers
  • John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
    13·2 answers
  • PLEASE HELP. ITS A MINI-QUIZ / HOMEWORK AND ITS TRIANGLES.
    7·2 answers
  • A wire is attached to the top of a tower that is 100 feet tall. The wire is attached to the ground 40 feet of the tower What is
    13·1 answer
  • 9+x=12 Can you guys please tell me the answer
    9·2 answers
  • mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and whit
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!