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
Slav-nsk [51]
3 years ago
6

The Malthouse Charity Run is a 5 kilometre race. The time taken for each runner to complete the race was recorded. The data was

found to be normally distributed with a mean time
of 28 minutes and a standard deviation of 5 minutes.

A runner who completed the race is chosen at random.

Write down the probability that the runner completed the race in more than 28 minutes.

3b. [2 marks]

Calculate the probability that the runner completed the race in less than 26 minutes.

3c. [3 marks]

It is known that 20% of the runners took more than 28 minutes and less than minutes to complete the race.

Find the value of .
Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

0.5 ; 0.34458

Step-by-step explanation:

Given that:

Mean (m) = 28

Standard deviation, s = 5

To obtain the Zscore :

Z = (x - m) / s

1.) P(x > 28)

Z = (28 - 28) / 5

Z = 0

P(Z > 0) = 0.5 (Z probability calculator)

2.) P(x < 26)

Z = (26 - 28) / 5

Z = - 0.4

P(Z > -0.4) = 0.34458 (Z probability calculator)

You might be interested in
7. lid fills his sports bottle with 1.2 liters of water After his bike ride he drinks milliliters of the water How much waters le
Goryan [66]
1 litre = 1000 millilitres so 1200-200= 1000 millilitres left or 1 litre left
3 0
3 years ago
(m+n)¹⁰; The 6th term will contain m?n?​
Nataly_w [17]

Answer:

252.m^5.n^5

Step-by-step explanation:

6 0
2 years ago
The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your
umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

                 Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

                Sea tank looks like a rectangular prism,

                 Formula to calculate the volume of rectangular prism,

                                   Volume, V =whl.............................(1)

                Where, w - Width of the rectangular prism

                              h - Height or depth of the rectangular prism

                               l - Length of the rectangular prism

              From given,

                       w = 35 meters

                         l = 27 meters

                        h = 10 meters

             Equation (1) becomes,

                                              V = (35)(10)(27)

                                                  = (945)(10)

                                                 =9450

      Volume of the sea tank, V = 9450 Cubic meters

Result:

         The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

           

3 0
3 years ago
Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already dow
IceJOKER [234]
That is how I solved that :)

8 0
3 years ago
Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, rec
lana [24]
It should be D: 35. 14 + 6 = 20. I just multiplied that by two, which equals 40. That means there are 2 sets of 14 and 2 sets of 6. Since there is 10 leftover, I divided both by 2. 7 + 3 = 10. 14 x 2 = 28 + 7 = 35
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help and explain thanks
    8·1 answer
  • Please help and explain
    13·1 answer
  • )Robert is using the following data samples to make a claim about the house values in his neighborhood:
    15·1 answer
  • Suppose that a teacher agrees to pay a student 10​¢for every problem in this chapter that the student solves​ correctly, and fin
    8·1 answer
  • 5-2(x+2)=12 <br> Decimal Form and work under the problem too HURRY!!!1
    13·1 answer
  • Divide and Check...........
    14·2 answers
  • The product of –12 and a number is 60.<br> Equation:<br> Steps:<br><br> help asap thx
    9·2 answers
  • PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS HELP ME WITH THIS <br> I BEG U
    7·2 answers
  • Write 3.7777... As a mixed number
    8·2 answers
  • Jahier's Bikes rents bikes for $20.00 plus $5.00 per hour. Daniel paid $35.00 to rent a bike. For how
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!