Answer:
D
Step-by-step explanation:
To determine the scale factor calculate the ratio of corresponding sides, image to original, that is
= = 8 → D
The absolute value of the quantity of five times x added to nine.
This will be answer .
The z-score of a person who scored 128 on the exam is equal to 2.9
<h3>What is a
z-score?</h3>
A z-score is also referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Where:
- x represents the sample score.
- u represents the mean score.
- σ represents the standard deviation.
Substituting the given parameters into the formula, we have;
Z-score, z = (128 - 70)/(20)
Z-score, z = 58/20
Z-score, z = 2.9
Read more on z-scores here: brainly.com/question/26714379
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1. Two consecutive integers means that the values are whole numbers and they are located right after the other (eg. 2, 3).
Now, let us call the smaller value x. The consecutive value will be one greater than x, thus the larger value may be written as x + 1.
2. We know that the product of the two values is 420. Given that the smaller value is x and the larger value is x + 1, we can write this as:
x(x + 1) = 420
3. Now we can expand to get:
x^(2) + x = 420
4. Now subtract 420 from both sides to get:
x^(2) + x - 420 = 0
Therefor, the constant of the quadratic expression is -420.