The function f(x) =g(x), where f(x) =2x-3 and g(x) =x^2-5

x=2.732

Step-by-step explanation:

Given are two functions

f(x) = 2x-3 and g(x) =

WE have to find the approximae value when these two funcitons are equal

Since we are asked to find only positive value we can refer table and do

f(2) >g(2) but f(3)<g(3) Hence there is one solution between 2 and 3.

f(2.5)>g(2.5).  So the root lies between 2.5 and 3 since change of sign takes place here

x       f               g

2.6   2.2         1.76

2.7    2.4         2.229

2.72  2.44       2.398

2.73   2.46      2,453

2.732  2,464   2.464

Hence answer is x  =2,732      

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.