The mean score for freshman on an aptitude test at a certain college is 540, with a standard deviation of 50. assume the means to be measured to any degree of accuracy. what is the probability that two groups selected at random, consisting of 32 and 50 students, respectively, will differ in their mean scores bya) more than 20 points? b) an amount between 5 and 10 points

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation: