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
Fiesta28 [93]
3 years ago
10

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

P(27.8 < X 27.8)-P(X>30.5)=0.025-0.0015=0.0235

Step-by-step explanation:

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the lifespans of tigers in a particular zoo.

From the problem we have the mean and the standard deviation for the random variable X. \mu=120 , \sigma=110

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

We want to find this probability:

P(27.8 < X

And in order to calculate how many deviation we are above/below the mean we can use the z score given by:

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

And if we use this formula for the two values given we have:

z_1 = \frac{27.8-22.4}{2.7}=2

z_1 = \frac{30.5-22.4}{2.7}=3

So we have values between 2 and 3 deviations above the mean.

We can use the following probabilities

P(X    

P(X>\mu +\sigma)=P(X >25.1)=0.16  

P(X    

P(X>\mu +2*\sigma)=P(X>27.8)=0.025

P(X

P(X>\mu +3*\sigma)=P(X>30.5)=0.0015

And we can find this probability on this way:

P(27.8 < X 27.8)-P(X>30.5)=0.025-0.0015=0.0235

You might be interested in
Ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?
exis [7]

Answer:

XS is 9 inches long.

Step-by-step explanation:

Given that

YS is the perpendicular bisector of XZ.

Length of XZ = 18 inches

To find:

Length of XS = ?

Solution:

First of all, let us learn about the perpendicular bisector.

Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of 90^\circ with the line AB.

If B is on the line PQ, then BP = BQ = \frac{PQ}{2} and

\angle ABP = \angle ABQ = 90^\circ

Applying the above property in our given question.

Kindly refer to the attached image for the given dimensions.

S is on the line XZ.

XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}

So, the answer is XS is 9 inches long.

8 0
3 years ago
Which of the above charts does NOT accurately reflect public goods and services?
Olin [163]
I wanna say its b)1 but im not 100% sure. if its wrong im sorry
6 0
3 years ago
Read 2 more answers
6 1/2 chocolate chips and 5/2 cups of flour how many more cups of chocolate chips use than cups of flours
PIT_PIT [208]

Answer: 4

Step-by-step explanation:

Amount of chocolate chips = 6 1/2

Amount of cups of flour = 5/2

The cups of flour should be changes to a mixed fraction and this will be 5/2 = 2 1/2

The question simply means we should find the difference between the fractions given and this will be:

= 6 1/2 - 2 1/2

= 4

8 0
2 years ago
The sales of a certain product after an initial release can be found by the equation s=16√7t+62 where s represents the total num
Aleonysh [2.5K]
You want to replace the s with 150 in the equation and then just solve for t.
150=16√7t +62    subtract 62 from both sides
88=16√7t              divide both sides by 16
5.5=√7t                to get rid of the square root  square both sides. 
30.25=7t              now divide both sides by 7
4.3 = t (approximately) 
so at 4 weeks they will have sold 150 units.
3 0
3 years ago
Read 2 more answers
What does y equal in 30+6y=7(y+6)-5
kirill [66]

Answer:

y=-37

Step-by-step explanation:

0+6y=7(y+6)-5

0+6y=7y+42-5

6y=7y+37

-1y=37

y=-37

3 0
3 years ago
Other questions:
  • PLEASE ANSWER
    5·1 answer
  • What is the best classification of  –14 in the real number system?
    13·2 answers
  • If ∠G ≅ ∠H, then ∠H ≅ ∠G. name the property
    9·1 answer
  • Maimi's annual precipitation in 2000 was 61.05 in. Albanys was 46.92 in. How much greater was Miami's precipition than Albany's?
    10·2 answers
  • I need help on this do any of y’all know this
    12·1 answer
  • 4x - 6 = 30 can you solve it
    8·1 answer
  • Can I get helpppp plzz...also give steps
    10·2 answers
  • If DEKL, then M _____ F.
    6·1 answer
  • A bicycle has tires with a diameter of 21 inches. How many inches will
    7·1 answer
  • Hey guy can you please explain this to me ​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!