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
olga nikolaevna [1]
3 years ago
6

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.

0 minutes. Find the probability that a given class period runs between 50.25 and 50.5 minutes.
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer: 0.025

Step-by-step explanation:

The probability density function for a random variable that is uniformly distributed on interval [a,b] is given by :-

f(x)=\dfrac{1}{b-a}

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes.

Let x be the random variable that denotes the  lengths of her classes.

Then, the probability density function = f(x)=\dfrac{1}{55-45}=\dfrac{1}{10}

Now, the probability that a given class period runs between 50.25 and 50.5 minutes will be :-

P(50.25

Hence, the required probability =0.025

You might be interested in
How do you do this question?
vivado [14]

Answer:

-1

Step-by-step explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1.  Therefore, y is initially decreasing.

As y decreases, dy/dt increases.  When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative.  So y continues to approach -1 as t approaches infinity.

6 0
3 years ago
What does "e" stand for in y=e^x
lukranit [14]
The "e" is one of mathematical constants. It's equal to approximately 2.7. It's sometimes called Euler's number.<span />
7 0
3 years ago
The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?
fredd [130]

Answer:

The center of the circle is midpoint of the diameter:

The radius is equal the distance between C and Q:

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center

r - a radius

r = √65; (-3; 2) ⇒ a = -3 and b = 2

subtitute

(x - (-3))² + (y - 2)² = (√65)²

Answer:

the center: (-3; 2)

the radius: √65

the equation of the circle: (x + 3)² + (y - 2)² = 65

3 0
3 years ago
Read 2 more answers
Rewrite in simplest terms: 10k-5(-6k+4)
Fittoniya [83]

Answer:

Step-by-step explanation:

7 0
3 years ago
Fully factorise 8x+24
irinina [24]
8(x+3)
In this form, it is fully factored. All you need is a GCF, which is 8.
Hope this helps!
6 0
3 years ago
Read 2 more answers
Other questions:
  • (a) Find the differential dy.
    7·1 answer
  • Which operation should be performed first according to the order of operations? 3(4)^2/4+16-9
    13·1 answer
  • Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
    8·1 answer
  • The sum of 3 times a number and 4 is 10. Find the number.
    13·2 answers
  • Solve for x. 12:15 = x:5
    13·2 answers
  • Write an equation that uses partial products to multiply 8 X 64
    11·2 answers
  • Nick (austin?) spends $12 to buy 16 oranges how much dose Nick (austin?) spend per orange
    13·2 answers
  • Five students ran an equal distance in the
    7·2 answers
  • Can someone tell me what 5/9 + 4/6 = in fractions
    5·1 answer
  • What does nine + ten equal?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!