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
wolverine [178]
3 years ago
15

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

____ or ____%
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive  and if the raw score is below the mean the z sore is negative. It is given by:

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

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2

For 12.5 inches:

z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

You might be interested in
It takes 5 minutes to bake 15 cookies. How many could you bake in 3 minutes
zysi [14]
You could bake 9 cookies in 3 min. 5/15 us equal to 1/3 and 3/9 is equal to 1/3 as well.
5 0
2 years ago
Find the area of the figure below
Serhud [2]
Easy

the easiest way is to imagine that you have a rectangle with a corner cut off
the area of the figure=area of rectangle-area cut off

area that was cut off was a triangle

area of rectangle=length times width
area of triangle=1/2base times height

so we draw imaginary lines like in attachment
find area of rectangle
legnth=9 inch
width=9 inch
area=9 times 9=81 in^2

triangle
the top part is ?+5=9, so the base of triangle=4
the side is ?+4=9, so the base is 5
area=1/2 times 4 times 5=10 in^2

area=rectangle-triangle
area=81-10=71 in^2

7 0
3 years ago
Read 2 more answers
Use the graph of the function f to determine the given limit
timofeeve [1]

Answer:

i cant see

Step-by-step explanation:

5 0
3 years ago
The window and the door are similar rectangles. The door has a width of 4 feet, the wi dow has a width of 30 inches. How many ti
Ipatiy [6.2K]
The area of the door is 16ft (4x4) and the window is 900 (30x30) then do 900/16= 56.25 I hope I'm right!
3 0
3 years ago
Find the surface area of the prism.
ratelena [41]
The surface area would be 3 times 4 which is 12cm3
5 0
2 years ago
Other questions:
  • Write a^3 times a^4 without exponents.
    13·1 answer
  • Laura makes 10.5% commission on each of her sales. How much does she make when she sells a house for 85,000
    13·1 answer
  • What is the solution to this equation?
    5·1 answer
  • PLEASE PLEASE PLEASE HELP ME!!!!! PLEASE PLEASE ILL GIVE POINTS, BRAINLY, AND THANKS
    14·1 answer
  • Question= graph y=4x-9
    13·1 answer
  • water drips from a faucet at a rate of 41 drops/ minute. Assuming there are 15,000 drops in gallon, how many minutes would it ta
    9·2 answers
  • Help 20 point question
    9·2 answers
  • Ifa rectangle measures 20 meters by 48 meters, what is
    10·1 answer
  • Im getting my grade up soo help
    8·2 answers
  • Can someone help me please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!