Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was well above the class average. The professor announced that the mean for the class final exam was 90 with a standard deviation of 7. Given Daniel's z score of 1.67, what is the raw score for Daniel's exam grade?

  The raw score for Daniel's exam grade is 101.69.

Step-by-step explanation:

For x be any random variable.

Formula for z-score :

, where = population mean

= population standard deviation.

Let x be the raw score for Daniel's exam grade.

As per given , we have

, and z= 1.67 , put these values in the above formula , we get

Hence, the raw score for Daniel's exam grade is 101.69.

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )