The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. jake scored 520 on the test. find the percent of students that scored below jake. round your answer to the nearest whole number. (include a step by step description of the process you used to find that percentage.)

*you will need to find the z-score using the z-score formula, the probability using the table, then change the probability to a percent. (use the z-score table to answer the question. )

what is the z score?

what is the probability using the table above?

what is the probability written as a percent?

z = 0.33

Step-by-step explanation:

Mean = u = 500

Standard Deviation = s = 60

Scores of Jake = x = 520

Step 1: Finding the z score

In order to find the percentage who scored below Jake first we have to convert the scores of Jake to z scores. The formula to find z value is:

Using the given values in this formula, we get the z scores:

Thus, rounded of to two decimal places, the z-value for Jake's score is 0.33

Step 2: Find probability from the z-table

In the given table, from first column we will find the value 0.3. In the row across 0.3 we will find the value directly below 0.03 as 0.3 + 0.03 = 0.33

This value comes out to be 0.6293

The image attached below shows this process of finding the probability.

Step 3: Converting the probability to percentage

In order to convert this probability to percentage simply multiply it be 100.

So, 0.6293 = 62.93 %

62.93% rounded to nearest whole number will be 63%

This tells us that approximately 63% students scored below Jake i.e. below 520.

$6.42

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870