A z-score<span> is the number of standard deviations from the mean a data point is.
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Standard deviation explains by how much the members of a group differ from the mean value for the group.
Using the z-score formula:
z = ( x - μ ) ÷ σ
Where;
x = score
μ = Mean
σ = Standard deviation
Z- Score (Tara) = ( 52 - 64 ) ÷ 8
= - 12 ÷ 8
= - 1.5
Z- Score (Jamal) = ( 82 - 64 ) ÷ 8
= 18 ÷ 8
= 2.25
Z- Score (Samuel) = ( 66 - 64 ) ÷ 8
= 2 ÷ 8
= 0.25
Answer:
We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

Now let
, where v and w are real numbers.
Then 
Here, we can again use the distributive property of multiplication to get

Hence, it follows that

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)
For example, 
Answer:
- Commutative Property of Addition.-
- 2 + 3 = 3 + 2
- Commutative Property of Multiplication.- ex. 5 × 7 = 7 × 5
- Associative Property of Addition.- ex.(2 + 3) + 6 = 2 + (3 + 6)
- Associative Property of Multiplication.- ex. (7 × 3) × 10 = 7 × (3 × 10)
- Distributive Properties of Addition Over Multiplication- ex. 2 × (2 + 8) = 2 × 2 + 2 × 8
- (2 + 8) × 10 = 2 × 10 + 8 × 10
- The reciprocal of a non zero real number a is 1/a.- ex. reciprocal of 5 is 1/5 and 5 × (1/5) = 1
Step-by-step explanation: