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
miss Akunina [59]
3 years ago
9

The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard

Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

We have been given that the lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard  deviation is 2.4 years. We are asked to find the probability of a lion living longer than 10.1 years using empirical rule.

First of all, we will find the z-score corresponding to sample score 10.1.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Random sample score,

\mu = Mean

\sigma = Standard deviation.

z=\frac{10.1-12.5}{2.4}

z=\frac{-2.4}{2.4}

z=-1

Since z-score of 10.1 is -1. Now we need to find area under curve that is below one standard deviation from mean.

We know that approximately 68% of data points lie between one standard deviation from mean.

We also know that 50% of data points are above mean and 50% of data points are below mean.

To find the probability of a data point with z-score -1, we will subtract half of 68% from 50%.

\frac{68\%}{2}=34\%

50\%-34\%=16\%

Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.

You might be interested in
Which inequality statement best represent the graph?
Vika [28.1K]
The parabola is looking down, so it can be A. or D.
The colored area is inside the parabola, that means that values of y inside the parabola is less than values of y of the parabola.
So,
the answer is D. f(x)< -x²+x-1
4 0
3 years ago
What does these equal 360,000÷100/ 360,000÷900
garri49 [273]

Answer:

360,000÷100/ 360,000÷900 = 9

7 0
2 years ago
What is 3 1/2 multiplied by 3 3/4 as a mixed number or fraction
mafiozo [28]

Answer:

105 over 8

Step-by-step explanation:


7 0
3 years ago
A store pays $45 for a picnic basket. The store marks up the price by 45%. What is the amount of the mark-up?
dimaraw [331]

Answer:

20.25 hope this helps

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Lin runs 2 3/4 miles in 2/5 of an hour. Tlyer runs 8 2/3 miles in 4/3 of an hour. How long does it take for each of them to run
Shalnov [3]

Answer:

Lin 1.454 h

Noah 1.54h

Step-by-step explanation:

From the above, we were given that;

Lin ran 2 3/4 miles in 2/5 an hour. Then, Noah ran 8 2/3 miles in 4/3 an hour

Speed of Lin

V = [(2 3/4)/(2/5)] mph

V = [(11/4)/(2/5)] mph

V = 6.875mph

Speed of Noah

V = [(8 2/3)/(4/3)] mph

V = [26/3)/(4/3))] mph

V = 6.5mph

The time taken by Lin to cover 10 miles

t = 10/6.875

t = 1.454h

The time taken by Noah to cover 10 miles

t = 10/6.5

t = 1.54h

3 0
2 years ago
Other questions:
  • zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week
    9·2 answers
  • -8= -(x+4) plz help I'm not smart and defiantly not good at math
    15·1 answer
  • GIVING BRAINLIEST what is 97 - 56 + 12
    12·2 answers
  • Help please anyone up
    8·1 answer
  • Find x. 12=6x what is x?
    7·2 answers
  • Help mw with this one
    11·1 answer
  • Which inequality represents the graph below?
    8·1 answer
  • Please help quick! last question on my hw.
    12·1 answer
  • Evaluate ​2(L+​W)<br> for L=10 and W= 2
    15·1 answer
  • Tanya is going to Six Flags andplans to spend no more than $250.If the ticket cost $50 and foodaverages $4 per items, how manyfo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!