Agood use of z-scores is to compare values in two different distributions. suppose your instructor will drop the low test when computing final grades, but he curves grades on each test. you had a 92 on the first test, and an 85 on the second. the first test had a mean of 83 and standard deviation of 6. the second test had a mean of 75 and standard deviation 3. the test with the relatively better score is

The Second Test has a relatively better score with a Z-Score of 3.33 as compared with a Z-Score of 1.5 from the First Test.

Step-by-step explanation:

The formula for calculating a Z-Score is z = (x – μ) / σ

x represents the Test Score

μ represents the mean for the test

σ represents the Standard Deviation for the test

Z score for Test 1

(92-83)/6= 1.5

Z Score for Test 2

(85-75)/3= 3.33

The Z Score of 3.33

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.