Ten students took a placement test to see if they could bypass a prerequisite requirement for a course. out of 100 points possible, the scores were: 45, 62, 63, 58, 81, 77, 64, 69, 82, 51. the student who scored 69 was at what percentile?

And we can find the probability:

And that correcpond to the 63 percentile approximated.

Step-by-step explanation:

We have the following dataset:

45, 62, 63, 58, 81, 77, 64, 69, 82, 51.

In order to find this problem we need to assume a distribution for the data. If we assume that the scores are normally distributed we can use the z score in order to find the percentile for the 69 value.

First we need to find the mean and deviation with the following formulas:

And then we can find the z score with the following formula:

If we replace for X =69 we got this:

And we can find the probability:

And that correcpond to the 63 percentile approximated.

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.

the answer is 13 cm