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
Alexeev081 [22]
3 years ago
12

Adult male lion weights are normally distributed, with a mean of 420 pounds and a standard deviation of 17 pounds. Approximately

what percentage of the adult lions weigh more than 450 pounds?
96.08%
97.22%
1.76%
3.92%

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

3.92%

Step-by-step explanation:

First calculate Z:

Z= (x - mean)/(st. dev.) \\Z = (450 - 420)/17 \\Z= 1.76

The percentage for a Z of 1.76 is 96.08%.

That means that all lions up to Z = 1.76 are equivalent to 96.08% but you are searching for the lions above Z = 1.76, then 100 - 96.08 = 3.92%

qaws [65]3 years ago
6 0

Answer:

P(X>450)=P(\frac{X-\mu}{\sigma}>\frac{450-\mu}{\sigma})=P(Z>\frac{450-420}{17})=P(z>1.765)

And we can find this probability with the complement rule and with excel or the normal standard distribution:

P(z>1.765)=1-P(z

And that correspond to :

3.92%

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(420,17)  

Where \mu=420 and \sigma=17

We are interested on this probability

P(X>450)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X>450)=P(\frac{X-\mu}{\sigma}>\frac{450-\mu}{\sigma})=P(Z>\frac{450-420}{17})=P(z>1.765)

And we can find this probability with the complement rule and with excel or the normal standard distribution:

P(z>1.765)=1-P(z

And that correspond to :

3.92%

You might be interested in
Help me!!!
Masja [62]

Answer:

Depends, I do that sometimes out of love and just for fun however i let them know im doing it just to mess with them. If you feel like they dont like you or you think they are a fake friend just get rid of them because later on it will break you as a person rather than make you a better person. Id suggest surrounding yourself around better peopl/frienda

Step-by-step explanation:

i dont know lol just what came off the top of my head

3 0
2 years ago
A report states that 32% of New Jersey residents think that a nice car costs too much money. Which element should probably be be
SOVA2 [1]

You should probably define what makes a car "nice", and also quantify the "too much money".


Qualitative words are often not welcomed in maths/science in general, because people can disagree on their meaning.


So, for example, if you change the sentence into


"A report states that 32% of New Jersey residents think that mercedes cars cost 30% more than they should"


Then everything would be "fixed", and there is no ambiguity anymore

7 0
3 years ago
Which figure has the greatest number of lines of symmetry? A. equilateral triangle B. square C. circle D. regular pentagon
melomori [17]
C is the answer. Hope this help.s
8 0
3 years ago
Read 2 more answers
Four apples and one banana cost £1.40 Seven apples and one banana cost £2.00 Work out the cost of an apple and the cost of a ban
Kamila [148]
Apple: £20
Banana: £60

I believe this is the answer because between the two problems there is a difference of £60. So I saw three apples were gone from the next so 60 divided by 3 is 20. Then we need to find the banana price. 20 x 7 = 140. 200 - 140 is 60. So the banana is 60 and the apples are 20.
6 0
3 years ago
Read 2 more answers
Evaluate the expression 8 - 3 × 2 + 5.<br><br> 7<br> 15<br> 29<br> 56
Alekssandra [29.7K]
First, multiply 2 by 3. That will give you 6. Then, subtract 6 from 8, you'll get an answer equivalent to 2. 2 + 5 = 7.
6 0
3 years ago
Other questions:
  • Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow
    12·1 answer
  • Does anyone know if this is correct
    11·2 answers
  • What's the answer show CLEARLY and please halp meeeeee
    9·2 answers
  • What is the decimal form for nine and fifteen thousandths?
    13·1 answer
  • An Architect drew the blueprint for a new office building he use a scale in which 1 inch represents 7.5 feet the floor of an off
    9·1 answer
  • The value that splits a frequency distribution into two halves, each half with the same number of values, is the ____
    8·1 answer
  • What is a in this equation <br> –6(2 + a) = –48
    14·2 answers
  • Latoya took a taxi home from her best
    10·2 answers
  • Help Please.
    7·2 answers
  • The swim team members each swam less than 55 yards as a warm up Saturday morning.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!