Suppose you have a normally distributed set of data pertaining to a standardized test. the mean score is 500 and the standard deviation is 100. what is the z-score of 225 point score?

-2.75

Step-by-step explanation:

Given : We have a normally distributed set of data pertaining to a standardized test.

The mean score is

Standard deviation:

Let x be a random variable to represent the data values .

The formula for z-score :-

For x=225, we have

Hence, the z-score of 225 point score =-2.75

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: