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
lubasha [3.4K]
3 years ago
11

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ=105 and a standard deviation sigma eq

uals σ=15. Find the probability that a randomly selected adult has an IQ less than 135.
Mathematics
1 answer:
Over [174]3 years ago
6 0

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15

We need to find the probability that a randomly selected adult has an IQ less than 135

For the probability that X < b;

  • Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
  • Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)

∵ z = (X - μ)/σ

∵ μ = 105 , σ = 15 and X = 135

∴ z=\frac{135-105}{15}=2

- Use z-table to find the area corresponding to z-score of 2

∵ The area to the left of z-score of 2 = 0.97725

∴ P(X < 136) = 0.97725

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Learn more:

You can learn more about probability in brainly.com/question/4625002

#LearnwithBrainly

You might be interested in
An air plane travels at a constant speed of 575 miles per hour. Write and equation that can be used to detrmine the number of mi
cluponka [151]

miles divided by hours and there is your answer

6 0
3 years ago
The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?
Pepsi [2]
A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63


8 0
3 years ago
Please help me with this homework
TiliK225 [7]

Answer:

what do you need help with

Step-by-step explanation:

5 0
3 years ago
what is the population of the Emperor penguin rounded to the nearest ten thousand and to the nearest hundred thousand
gogolik [260]

Answer:

130,000 to 250,000

Step-by-step explanation:

7 0
3 years ago
Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4
MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}  

 

System of Linear Equations entered :

  [1]    2x + 4y + 3z = 6

  [2]    5x + 8y + 6z = 4

  [3]    4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable  z  

 

 [3]    2z = -4x - 5y  

 [3]    z = -2x - 5y/2  

// Plug this in for variable  z  in equation [1]

  [1]    2x + 4y + 3•(-2x-5y/2) = 6

  [1]    -4x - 7y/2 = 6

  [1]    -8x - 7y = 12

// Plug this in for variable  z  in equation [2]

  [2]    5x + 8y + 6•(-2x-5y/2) = 4

  [2]    -7x - 7y = 4

// Solve equation [2] for the variable  y  

 

 [2]    7y = -7x - 4

 [2]    y = -x - 4/7

// Plug this in for variable  y  in equation [1]

  [1]    -8x - 7•(-x -4/7) = 12

  [1]    -x = 8

// Solve equation [1] for the variable  x  

  [1]    x = - 8  

// By now we know this much :

   x = -8

   y = -x-4/7

   z = -2x-5y/2

// Use the  x  value to solve for  y  

   y = -(-8)-4/7 = 52/7  

// Use the  x  and  y  values to solve for  z  

 z = -2(-8)-(5/2)(52/7) = -18/7  

Solution :

{x,y,z} = {-8,52/7,-18/7}  

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • There are 28 students in the class. Sixteen of those students are girls. What percentage of the class is girls?
    15·1 answer
  • 7n+12=1/2(14n+24)<br><br><br> NEED ANSWER ASAP
    6·1 answer
  • I need help on this question
    6·1 answer
  • Solve 8m^2+20m=12 for m by factoring.
    15·2 answers
  • What is the method to the problem
    13·1 answer
  • Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
    7·2 answers
  • What is the property of 7+(a+b)=7+a)+b
    11·2 answers
  • Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?
    5·2 answers
  • -x&lt;-26 what is the answer???
    14·1 answer
  • I need help with this problem​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!