The Z-score is calculated by the formula below

Step 2: Substitute the given parameters in the formula

Hence, the z-score of a person who scored 145 on the exam is -0.5
Answer: Solution: (12, 3)
Step-by-step explanation:
2x - 4y = 12
3x + 4y = 48
Add both equations
5x = 60
Divide both sides by 5
x = 12
We can use the value of x to find y
3x + 4y = 48
3 (12) + 4y = 48
36 + 4y = 48
Subtract 36 from both sides
4y = 12
Divide both sides by 4
y = 3
Solution: (12, 3)
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Answer:
x(t) = - 5 + 6t and y(t) = 3 - 9t
Step-by-step explanation:
We have to identify the set of parametric equations over the interval 0 ≤ t ≤ 1 defines the line segment with initial point (-5,3) and terminal point (1,-6).
Now, put t = 0 in the sets of parametric equations in the options so that the x value is - 5 and the y-value is 3.
x(t) = - 5 + t and y(t) = 3 - 6t and
x(t) = - 5 + 6t and y(t) = 3 - 9t
Both of the above sets of equations satisfy this above conditions.
Now, put t = 1 in both the above sets of parametric equations and check where we get x = 1 and y = -6.
So, the only set, x(t) = - 5 + 6t and y(t) = 3 - 9t satisfies this condition.
Therefore, this is the answer. (Answer)