Answer:
The value remain unchanged.
Step-by-step explanation:
By Z score, we mean:
Z =
, if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,
Z =
= 85/12 = 7.083333.
NB: We assume that mean and standard deviation are in the same units.
Answer: Option 'E' is correct.
Step-by-step explanation:
Marginal utility is the addition utility derived from each successive unit of a particular good.
so, marginal utility is the change in utility from consuming an addition unit of a good or service.
Mathematically, it is expressed as

Hence, Option 'E' is correct.
Answer:
5. x = 5, y = 3
6. x = 0, y = 4
7. x = -1, y = 1
Step-by-step explanation:
5. substitute 3(value of y) into the equation y = x - 2:
=> 3 = x - 2
=> x = 5
6. substitute 0(value of x) into the equation y = x + 4:
=> y = 0 + 4
=> y = 4
7. substitute 1(value of y) into the equation y = 2x + 3:
=> 1 = 2x + 3
=> 2x = -2
=> x = -1
Step-by-step explanation:
f(x) = 2x² + 9
f(5) = 2(5)² + 9
= 2(25) + 9
= 50 + 9
= 59
Could u please name the story? The picture isn't clear enough for me to read