The gcf of these two numbers is 1, because 189 and 200 don't have any common factors.
Answer:
x = 15
Step-by-step explanation:
-x = -15
x = -1 × (-15)
<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>5</u>
Answer:
Option A) Discrete and quantitative
Step-by-step explanation:
We are given the following situation in the question:
In a study of the effect of handedness on athletic ability.
Variable 1: Handedness - right-handed, left-handed, and ambidextrous
Variable 2: Athletic ability measured on a 12-point scale.
Dependent Variable:
- The dependent variable is the response variable and its value depends on the independent variable.
- A change in independent variable leads to a change in the dependent variable.
For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.
Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.
Thus, it is a quantitative variable.
Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.
Thus, it is a discrete variable.
Option A) Discrete and quantitative
Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.
The Pythagorean Theorem says so
Now solve using the Quadratic Formula with .
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
X = 36/5
Or x = 7.2
21 + x = 6x - 15
21 = 6x - 15 - x
21 = 5x - 15
21 + 15 = 5x
36 = 5x
36/5 = x