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 .

Answers

Answer 1

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)


Related Questions

What answer is 7 more than the length?

Answers

B ( hope this helps)

Jenny needs to read 230 pages in 20 days. How many pages does she have to read daily in order to finish online?​

Answers

Answer:

ポイント

Step-by-step explanation:

ポイント

Sara is making 3 batches of chocolate chip
cookies and 3 batches of oatmeal cookies.
Each batch of chocolate chip cookies uses
2 cups of flour. She will use 122 cups of
flour for all six batches. Determine how
many cups of flour are needed for each
batch of oatmeal cookies.

Answers

3 batches of chocolate chip with 2 cups per batch is 6 cups total for the chocolate chip cookies.

Subtract the total needed for the chocolate chip from the total flour used, then divide the remaining amount by number of batches of oatmeal

Cookies.

The problem show 122 total cups, but I don’t think that is right... what is the actual total cups used?

Which of the following correctly uses absolute value to show the distance between –60 and 11?

A) |–60 – 11| = |–71| = –71 units
B) |–60 + 11| = |–49| = 49 units
C) |–60 + 11| = |–49| = –49 units
D) |–60 – 11| = |–71| = 71 units

Answers

Answer:

C) |–60 + 11| = |–49| = –49 units

Step-by-step explanation:

Answer:

that is cap the actual answer is 71 units

Step-by-step explanation:

i also need help on this lol please

Answers

6 times 6 = 36 which is the area of the square in the middle. the two triangles on the sides will add up to be the same as the square so we can just double it. 36 x 2 = 72 :)

Use the number line to find each measure

Answers

Answer:

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]


Find the sum of the first 90 terms of the sequence –4, –1, 2, 5, 8, ...
a.
11654
c.
11656
b.
11657
d.
11655

Answers

Answer:

D. 11655

Step-by-step explanation:

First find the 90th term:

a90=a1+(n−1)d      

 = -4+89(3)=263

Then find the sum:

Sn = n(a1 + an) / 2

S90 = 90 (-4 + 263) /2

S90 = 23,310/2

S90 = 11,655

64.3- 3 x 23 - 2 is what.

Answers

Answer: -6.7

Step-by-step explanation:

64.3−(3)(23)−2

=−6.7

Answer:

-6.7

Step-by-step explanation:

The temperature fell 30° over six hours. What was the temperature changes each hour.

Answers

Answer:

the rate of temperature change is 5° per hour

I need help please what’s the answer?

Answers

The answer is 9x+17, when you combine the like terms

Answer:

The terms combine into 9x + 17

Step-by-step explanation:

What you need to realise here is that the brackets don't serve any real purpose, as there's no operation being done on their contents as a whole.  With that in mind we can simply drop the brackets and group like terms:

(4x + 8) + (5x + 9)

= 4x + 8 + 5x + 9

= 4x + 5x + 8 + 9

= 9x + 17

So the terms combine into 9x + 17

Sb help me plz I would really appreciate

Answers

60.2

Step-by-step explanation:

a^2 + b^2 = c^2

40^2 + 45^2 = c^2

1600 + 2025 = c^2

3625 = c^2

the square root of 3625 is 60.2

Answer:

60.2 metres

Step-by-step explanation:

Pythagoras formula = square of b plus squar of c = square of a

let b be 40 and let c be 45

40^2 + 45^2 = a^2

1600 + 2025 = a^2

3625 = a^2

square root of 3625 = a

60.2 meters = a

1.Who is the youngest child?2.Who is the eldest child?
3.Whois older, Bianca or Dianne?
4.What is the reletionship of Mae's age to Reys age?
5.List down all the math keywords you have seen on the problem?​

Answers

Answer:

Where's the story???

Step-by-step explanation:

Can you please report it so that we can help you?!

Evaluate this power with a base that is a negative fraction. (−1 4 )2 What is the value of the power? Negative StartFraction 2 Over 4 EndFraction Negative StartFraction 1 Over 16 EndFraction StartFraction 1 Over 16 EndFraction StartFraction 1 Over 8 EndFraction

Answers

Answer:

1/16

Step-by-step explanation:

litterly just did it, and I got it right

Answer:

its 1/16 i got it right

Step-by-step explanation:

Approximate these numbers
1. 3.8149
2. 20.6861
To
a. the nearest whole number
b. 1 decimal place
C. 2 decimal places
d. 3 decimal places

Answers

Answer:

1)

a. 4

b. 3.8

c. 3.82

d. 3.815

2)

a. 21

b. 20.7

c. 20.69

d. 20.686

Step-by-step explanation:

Write in algebraic form: “the sum of s and the square root of f”

Answers

Answer:

s+[tex]\sqrt{f}[/tex]

Step-by-step explanation:

Sum means plus, so s plus the square root of f. The sign for square root is [tex]\sqrt{}[/tex], so s+[tex]\sqrt{f}[/tex] is the correct answer.

-20 15 degrees colder -20-15=

Answers

Answer:

-35

Step-by-step explanation:

:D

Answer:

-20-15 = -35

Step-by-step explanation:

Please help in question 18

Answers

Answer:

it either 0,2 or 2,0

Step-by-step explanation:

Answer:

2 or 0

Step-by-step explanation:

(x-1)^2=x^2-2x+1

What is the speed of an auto that travels from Bloomfield to Atlantic City (120 miles) in 2 hours

Answers

9514 1404 393

Answer:

  60 miles per hour

Step-by-step explanation:

Speed in miles per hour is found by dividing miles by hours:

  (120 mi)/(2 h) = (120/2) mi/h = 60 mi/h

Day X = 33; Day Y = 44. What is the percent change from day X to day Y?

Answers

Answer: 33.3% increase, pretty sure

Step-by-step explanation: Big number- Small number, and then divided by the first number: 44-33=11. 11 divided by 33 ( original) is 0.3333, and then change the decimal to a percent, which is 33.3%.

if thrice my age 6 years ago be subtracted from twice my present age the result is present age then my present age is what​

Answers

Answer:

9 years

Step-by-step explanation:

Let the present age = x

Age 6 years ago = x - 6

Thrice my age 6 years ago = 3*(x -6) =3x - 3*6 = 3x - 18

Twice my present age = 2 *x = 2x

Thrice my age 6 years ago be subtracted from

twice my present age  = 2x -  (3x - 18)

2x - (3x - 18) = x

2x - 3x  + 18 = x                  

    -x  + 18 = x              {Add x to both sides}

             18 = x + x

              18 = 2x              {Divide both sides by 2}

           18/2 = x

x = 9 years

12/1/2 - (-4/1/2) = xhwicuhwiquchqiuce

Answers

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

12/1/2 - (-4/1/2) becomes 12 1/2 + 4 1/2 after simplification.  Note that 12/1/2 is invalid.

Combining 12 1/2 and 4 1/2 yields 17.

hey! can anyone help me? thanks in advancee teehee

Answers

Step-by-step explanation:

1 week = 7 days

Therefore 1 week = 60,000 letters

=> 7 days = 60,000 letters

=> 1 day = 60,000 / 7 = 8571.4... letters

Hence Obama receives around 8,571 letters per day.

The city would like to install a concrete walkway between the soccer field and
restaurant. They have budgeted $4,000 for this walkway. The concrete needed to create the walkway costs $315 per mile but the city is getting a bulk discount of $125 off every 3 miles. Any additional concrete that is not part of a 3-mile bundle will be charged the full price. Determine the price of the walkway. Is the city is over or under budget?
Please help thank you!!!! I will give brainlest with explanation

Answers

Answer:

i looked up the whole question and this popped up

pay between $6 and $12 persquarw foot

sorry if its wrong. Good day

what is the HCF of 60 and 96?​

Answers

Hey there!

[tex]\bold{Highest\ Common\ Factor\ \ HCF\ of\ 60\ \& \ 96 }[/tex]

[tex]\bold{Finding\ your\ Prime\ Factorization \ in\ your\ given\ numbers!}[/tex]

[tex]\bold{60:2\times2\times3\times5}[/tex]

[tex]\bold{96:2\times2\times2\times2\times2\times3}[/tex]

[tex]\bold{Your\ Greatest\ Common\ Factor(GCF): 2\times2\times3}[/tex]

[tex]\bold{2\times2\times3}\\ \bold{2\times2=4}\\ \bold{4\times3=12}[/tex]

[tex]\boxed{\boxed{\bold{Answer: HCF \rightarrow \bold{\underline{12}}}}}\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Find the hypotenuse of a right triangle with legs measuring 4 and 5​

Answers

Answer:

20

Step-by-step explanation:

4^2 + 5^2 = x^2

16 + 25 = 41

x^2 = 41

x = sqrt 41  or 6.4

The answer is 20! GOOD LUCK ;))

63=7x
Solve
Please help

Answers

Answer:

9 = x

Step-by-step explanation:

63 = 7x (Given)

9 = x (Divide 7 on both sides)

Answer:

9

Step-by-step explanation:

63 divided by 7 = 9

X=9

PLEASE HELP FAST. Which function is described by the values in the table?

Answers

Answer:

y = -x + 10 I believe.....

PLEASE HELP QUICK

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.

1) 38 square inches
2) 66.5 square inches
3) 114 square inches
4) 180.5 square inches

Answers

Answer:

Area=180.5 sq in

Step-by-step explanation:

(7x9.5x.5x2)+(12x9.5x.5x2)=Area

66.5+114=Area

Area=180.5 sq in

Which of the following is not a perfect square? Why?
(a) 361 (b) 1156
(c) 1128 (d) 1681​

Answers

Answer:

361

Step-by-step explanation:

because the last number was not come in any table

Answer:

1128 is not a perfect square.

Step-by-step explanation:

Numbers ending with units digit as 2,3,7 and 8 can never be a perfect square.

Hope this helps you.

Please help I will mark as brilliant

Answers

Answer: x=2

Step-by-step explanation:

Answer:

rate of change is also know as the slope and so -3x would be your rate of change so the anwser should be -3

Step-by-step explanation:

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