The missing choices are:
A. z-score = 92 - 83
B. z-score = (92 - 83)/5
C. z-score = 83 - 92
D. z-score = (92 - 83)/92
The expression she would write to find z-score is z-score =
⇒ B
Step-by-step explanation:
The rule of z-score is z = (x -μ)/σ, where
- x is the score
- μ is the mean
- σ is the standard deviation
The scores of an eighth-grade math test have a normal distribution
∵ The mean is 83
∴ μ = 83
∵ The standard deviation is 5
∴ σ = 5
∵ Din’s test score was 92
∴ x = 92
- Substitute all of these values in the formula of z-score
∴ z-score = 
The expression she would write to find z-score is z-score = 
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Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
Answer:
b
Step-by-step explanation:
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