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
monitta
3 years ago
5

The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

e mean and the standard deviation of finish times for this event are respectively \mu μ = 30 and \sigma σ = 5.5 minutes. Suppose the distribution of finish times is approximately bell-shaped and symmetric. Find the approximate proportion of runners who finish in under 19 minutes.
Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer: 0.0228

Step-by-step explanation:

Given : The  mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

\mu=30\\\\\sigma=5.5

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : z=\dfrac{x-\mu}{\sigma}

z=\dfrac{19-30}{5.5}=-2

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

P(X

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228

You might be interested in
(4x^3y)(-2x^4y^-1)^2(6x^8y^5)^0 PLSSSSSSSSSSSSSSSSS HELP ME !!!!!!!!!
e-lub [12.9K]

Answer:

answer is in explanation

Step-by-step explanation:

5 0
3 years ago
Set up and solve the following using dimensional analysis.
Softa [21]
1).  Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

         =      (5400 x 1 x 1 / 12 x 5280)  (inch - foot - mile / inch - foot) 

         =          0.0852  mile  


2).  Multiply (16 week) by (7 day/week) then by (24 hour/day)
       then by (60 minute/hour) then by (60 sec/minute).

3).  Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
       and then by (1000 mm/meter)

4).  Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
      then by (1 mile/1609.3 meter).

5).  Look up how many grams in a pound  ('P')
       Look up how many mL in a gallon       ('G')

      Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6).  Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).


Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
4 0
3 years ago
Describe the end behavior of the function.<br><br><br> f(x)=3(1/5)^x-2
Likurg_2 [28]

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is 1 3/5 - 5/6? Please Help
gizmo_the_mogwai [7]

Answer:

Exact Form:

\frac{23}{30}

Decimal Form:

0.76

Step-by-step explanation:

<em>Hope this helped and good luck <3</em>

6 0
3 years ago
Read 2 more answers
Write a + - x or ÷ sign in each box to make the equation true <br><br> 7 18 45 3 2 = 139
irina [24]
I mean, I don't know how to explain a generic way to solve this. Ask me about the specific train of thought if you are interested:

7 * 18 + 45 / 3 - 2 = 139
4 0
4 years ago
Other questions:
  • Solve this system of equations.<br> y = 2x – 12<br> y = -x + 3
    14·1 answer
  • Meg makes paper flowers. She makes 15 flowers each hour.
    9·2 answers
  • Vertical Compression of 1/3, right 2!!!
    7·1 answer
  • Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
    11·1 answer
  • Find the approximate area of a circle with radius equal to 8 ft. (Use = 3.14.)
    7·1 answer
  • A patient takes vitamin pills. Each day he must have at least 420 IU of vitamin A, 5 mg of vitamin
    9·2 answers
  • Collins middle school 180 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the midd
    11·1 answer
  • ( x + 3 )( y + 2 ) = xy - 5<br> ( x + 2 )( y - 3 ) = xy
    13·1 answer
  • PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
    5·2 answers
  • What is value of x?<br> Enter your answer in the box.<br> x =
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!