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
The motion of a weight that hangs from a spring is represented by the equation h=8sin(2pi/3t). It models the weight’s height abo
8090 [49]

Answer:

at t = 5.4485 units (maybe seconds, but it is not given)

Step-by-step explanation:

In the equation, h is the height above/below the rest position and t is the time.

Since we want to know WHEN (t) will it be 3 INCHES ABOVE (h = +3), we can simply plug in 3 into h and solve for t. Shown below:

h=8Sin(\frac{2\pi}{3t})\\3=8Sin(\frac{2\pi}{3t})\\\frac{3}{8}=Sin(\frac{2\pi}{3t})\\\frac{2\pi}{3t}=Sin^{-1}(\frac{3}{8})\\\frac{2\pi}{3t}=0.3844\\2\pi=1.1532t\\t=\frac{2\pi}{1.1532}\\t=5.4485

Hence,

At t = 5.4485 seconds (no unit of time is given, i am assuming seconds), the height of the weight will be 3 inches above the rest position.

6 0
3 years ago
Read 2 more answers
6.
Daniel [21]
Answer: D opposite angles in all quadrilateral are congruent true
4 0
3 years ago
The sprinkler in Rob's sprinkler system waters a circular area. The sprinkler is in an open part of Rob's lawn and waters up to
adell [148]
What is the area the sprinkler can water?

Area = π r²

r = 18 feet

r² = r * r = 324

A = 3.14 * 324

A = 1017.36

A = 1017 square feet

6 0
3 years ago
Read 2 more answers
Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 mil
son4ous [18]

The mistake is made in the second step. The correct steps are given below.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

6 0
2 years ago
Find the area of the surface generated by revolving x=t + sqrt 2, y= (t^2)/2 + sqrt 2t+1, -sqrt 2 &lt;= t &lt;= sqrt about the y
EleoNora [17]

The area is given by the integral

\displaystyle A=2\pi\int_Cx(t)\,\mathrm ds

where <em>C</em> is the curve and dS is the line element,

\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

We have

x(t)=t+\sqrt 2\implies\dfrac{\mathrm dx}{\mathrm dt}=1

y(t)=\dfrac{t^2}2+\sqrt 2\,t+1\implies\dfrac{\mathrm dy}{\mathrm dt}=t+\sqrt 2

\implies\mathrm ds=\sqrt{1^2+(t+\sqrt2)^2}\,\mathrm dt=\sqrt{t^2+2\sqrt2\,t+3}\,\mathrm dt

So the area is

\displaystyle A=2\pi\int_{-\sqrt2}^{\sqrt2}(t+\sqrt 2)\sqrt{t^2+2\sqrt 2\,t+3}\,\mathrm dt

Substitute u=t^2+2\sqrt2\,t+3 and \mathrm du=(2t+2\sqrt 2)\,\mathrm dt:

\displaystyle A=\pi\int_1^9\sqrt u\,\mathrm du=\frac{2\pi}3u^{3/2}\bigg|_1^9=\frac{52\pi}3

8 0
3 years ago
Other questions:
  • A pair of equations is shown below:
    8·2 answers
  • Factor ab + bc + b2 + ac.
    5·2 answers
  • WILL GIVE BRAINLIEST!<br><br><br> What is the m∠ F?<br><br><br><br><br> thanks for helping
    11·1 answer
  • 1) The variable x represents a value in the set ( 4, 6, 7, 8). Which value of x makes 2 (x-4) +3 =7?
    11·1 answer
  • The line through (5, 7) and (1, - 5)
    13·1 answer
  • Which list shows the numbers in order from largest to smallest?
    8·1 answer
  • Which expressions result in a positive number?
    15·1 answer
  • Help if u can.
    10·2 answers
  • The large square pictured below represents one whole.
    6·2 answers
  • (09.03 MC)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!