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
Which function represents the graph below?
klasskru [66]

Answer:

The inequalities all need to be of the form a < x ≤ b. Only the first selection matches that requirement.

Step-by-step explanation:

8 0
2 years ago
Solve 4x - 8 &lt; 44. Enter your answer as an inequality.
Ilya [14]

Answer:

x < 13

Step-by-step explanation:

We have an inequality and are asked to solve for x.

Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.

4x - 8 < 44

Add 8 to both sides :

4x < 52

Divide 4 from both sides :

x < 13

7 0
2 years ago
HELP
Triss [41]

Answer:

  • 42390 ft³

Step-by-step explanation:

Since the tanks are congruent, they both have same volume.

If you rejoin them, it will form a cylinder with the radius of 15 ft and height of 120 ft.

<u>The volume of the cylinder:</u>

  • V = πr²h = 3.14*15²*120 = 84780 ft³

<u>The volume of each tank is half the volume of the cylinder:</u>

  • V(tank) = 84780 / 2 = 42390 ft³
5 0
2 years ago
Read 2 more answers
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation.
son4ous [18]

Answer:

t + 3

Step-by-step explanation:

Calculate the number of latex

5 0
2 years ago
9+10 <br><br> I need help please
cricket20 [7]

Answer:20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 1) Reduza os números abaixo a uma potência de base 2
    15·2 answers
  • The number of horse shoes needed for the horses. independent dependent
    7·1 answer
  • if a length of a rectangle is four times its width. what is its perimeter is 90m. how can I find the dimentions
    8·1 answer
  • Please answer ASAP. due tomorrow.
    15·1 answer
  • A squirrel in a long glide typically covers a horizontal distance of 16 m while losing 8.0 m in altitude. during this glide, wha
    5·2 answers
  • A seventh grader English Language Arts teacher wants to order book for all seventh grade classes. He wants to determine the favo
    9·2 answers
  • Love this called sketch a graph of the polynomial function f(x)=x^3-6x^2+3x+10. Use it to complete the following:
    8·1 answer
  • The polygons are similar but not necessarily drawn to scale find the value of X. Show the steps you use to solve the problem (im
    6·2 answers
  • Find the y-intercept of the following equation. Simplify your answer. 25 POINTS WILL MARK BRAIN
    5·1 answer
  • Find the missing angle.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!