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
stepladder [879]
3 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]3 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

You might be interested in
Solve using Substitution<br> y = -1x - 5<br> 4x - 8y = 4
Liula [17]

Answers:

Step-by-step explanations:

4 0
3 years ago
There are 35 counters in a bag.
horsena [70]

Answer:

debes hacer l regla de tres

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the surface area of the cylinder shown below? Use 3.14 for π. A. 660 cm2 B. 863 cm2 C. 353.25 cm2 D. 785 cm2
lesantik [10]

Answer:

602.88cm²

Step-by-step explanation:

Find the image of the cylinder attached

Surface area of a cylinder = A=2πrh+2πr²

r is the radius = 4cm

Height h = 20cm

Substitute

A = 2πr(r+h)

A = 2π(4)(4+20)

A = 8π(24)

A = 192π

A = 192(3.14)

A = 602.88cm²

Hence the surface area of the cylinder is 602.88cm²

5 0
3 years ago
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is C' if
Anestetic [448]

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

5 0
3 years ago
The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube ofthe velocity V. (a) Write
anastassius [24]

Answer:

a)  P=kAV^3

b)  54

Step-by-step explanation:

a)

If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:

A=k*B*C

Where

k is the proportionality constant

Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:

P=kAV^3

b)

Now velocity, V, is triples, which means it becomes 3V

Also, cross sectional area, A, is doubled, which means it becomes 2A

Let's put these into formula and see the difference:

P=kAV^3\\P=k(2A)(3V)^3\\P=k(2A)(27V^3)\\P=(2*27)kAV^3\\P=54kAV^3

So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).

8 0
3 years ago
Other questions:
  • What is the solution to the following system of equations?
    9·2 answers
  • Starla bought cloth napkins at an outlet store for $4.25 each, and she also used a $20 off coupon. In the equation below, x repr
    11·1 answer
  • Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor
    13·2 answers
  • What would this be subtracting decimals
    5·1 answer
  • 93+(68+7) in commutative,associative,and distributive
    14·1 answer
  • Using the following image, if = 20, what are , , and .
    15·1 answer
  • The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
    8·1 answer
  • Solve for x:90 - 3/2x ≤30.<br> Will Mark Brainliest
    13·2 answers
  • 14. What is the value of the missing angle? (1 point)
    6·1 answer
  • Please help with this question, giving brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!