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
lana66690 [7]
2 years ago
11

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

andomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7)
Mathematics
1 answer:
svp [43]2 years ago
3 0

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that a = 50, b = 52

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

You might be interested in
Solve the simultaneous equations:<br><br> 5x+4y=5<br> 2x+7y=29
OLga [1]

Answer:

x=−3 and y=5

Step-by-step explanation:

3 0
3 years ago
The product of two mixed numbers x and y is 10. If x= _ 2/3 and y=_ 3/4 ,<br> find x and y?
Akimi4 [234]

Answer:

  • x = 2 2/3
  • y = 3 3/4

Step-by-step explanation:

There may be other ways to do this. Here's the approach I took. Let the integer part of x be represented by "a", and the integer part of y be represented by "b". Now, we have ...

  (a +2/3)(b +3/4) = 10

Multiplying by 12, this becomes ...

  (3a +2)(4b +3) = 120

There are only 16 divisors of 120, so they can be easily enough checked one at a time.

  120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

Of these divisors, the ones that are of the form 3a+2 are ...

  2, 5, 8, 20 . . . . a=0, 1, 2, 6

The ones that are of the form 4b+3 are ...

  3, 15 . . . . b = 0, 3

The factor pair that consists of a number on the first list and a number on the second list is ...

  120 = 8·15

corresponding to a=2 and b=3. So, the mixed numbers you want are ...

  x = 2 2/3

  y = 3 3/4

_____

<em>Check</em>

  (2 2/3)·(3 3/4) =2·3 +2·3/4 +2/3·3 +2/3·3/4 = 6 +6/4 +2 +2/4 = 8+8/4 = 10

6 0
3 years ago
Help what’s the answer
Anni [7]
The answer to this one is the 3rd one
3 0
2 years ago
Read 2 more answers
Find the area (shaded) and round to the tenths place if necessary.
fomenos

Answer:

9π - 9

Step-by-step explanation:

Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.

6 0
3 years ago
How to find the volume of the cube?
Ierofanga [76]

Answer:

its 125

Step-by-step explanation:

5x5x5

7 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has an area of 234.4 square feet and a height of 16 feet. what is the length of the base?
    12·1 answer
  • Student A and student B were given the following graph and asked to find the value of f(x) when x = 1. Student A gave an answer
    9·1 answer
  • The probability of choosing an odd number and then a 20
    13·1 answer
  • 7+ X +7+17+7+ X +7 equals 100 what does X equal
    13·2 answers
  • In parallelogram WXYZ, the shorter sides are half the length of the longer sides
    7·2 answers
  • If f(x) is discontinuous, determine the reason. f(x)= {x^2 +4, x&lt;=1; x+3, x&gt;1}
    12·1 answer
  • Stephen buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter
    12·1 answer
  • Which statement best describes how to determine whether f(x) = 9 - 4x^2 is an odd function?
    11·1 answer
  • What is the mode of the data set?
    9·1 answer
  • Read the picture that's were the question is.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!