In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of

Complete Question

The complete question is shown on the first uploaded image  

a

b

c

d

The correct option is  B

Step-by-step explanation:

From the question we are told that

  The mean is  

  The standard deviation is

Generally the  probability that a randomly selected study participant's response was less than 4 is mathematically represented as

So

From the z-table  

So

Generally the probability that a randomly selected study participant's response was between 4 and 6 is mathematically represented as

=>

=>  

=>  

From the z-table  

So  

=>      

=>      

Generally the  probability that a randomly selected study participant's response was more than 8 is mathematically represented as

From the z-table  

So

the least common denominator is 40

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x