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
igomit [66]
3 years ago
10

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia

tion of 3.5 years. The winner in one recent year was 23 years old.
(a) Transform the age to a z-score.

(b) Interpret the results.

(c) Determine whether the age is unusual.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

You might be interested in
Which fraction represents the product of -7/8 and -9/11 in simplest form?
VashaNatasha [74]
Awnser is c I just did this
8 0
3 years ago
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following
Nuetrik [128]
The answer is The one option C
4 0
2 years ago
Which number rounds to 15,700,000 when rounded to the nearest hundred thousand?. A) 15,000,000. B) 15,579,999. C) 15,649,999. D)
Artyom0805 [142]
<span>The correct answer is option D. i.e. 15,659,999. Now, this number is closest to the given number i.e. 15,700,000. Becuase when 659 is rounded to the nearest number of hiher value then its value will be 700. Thus,15,659, 999 rounds to 15,700,000 when rounded to the nearest hundred thousand.</span>
6 0
3 years ago
The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay, or for the quan
Ilya [14]
That's two half lives. 5/8 * 2 * 2 = 20/8 = 5/2 pounds7/8 * 2 * 2 = 28/8 = 7/2 pounds
6 0
3 years ago
Read 2 more answers
The sixth grade has collected $116 for a local animal shelter. Thief goal is to collect $500. They have three weeks left how muc
leva [86]
500 - 116 = 384 left to collect

384 divided into 3 weeks = 128

They must collect $128 per week in order to reach their goal of $500.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Can the square root of 130 be simplified.
    14·2 answers
  • Help. I don't understand what I'm supposed to do.
    12·2 answers
  • Emilio used addition of two rational numbers to solve a problem. Jim use subtraction to solve the problem. Is it possible that t
    13·1 answer
  • Please help me! I will mark brainliest! Thanks!
    8·2 answers
  • Someone help please
    8·2 answers
  • What is 18.5% of $3200 ?
    9·2 answers
  • Log base 12 of ((1/2)/8w)
    13·1 answer
  • Which graph represents the solution set to the system of inequalities?
    5·1 answer
  • 5 STARS AND 20 POINTS PLEASE HELP ASAP
    8·1 answer
  • How can you tell if an element has been oxidized?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!