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
X+6+2x+4+x+3= 180
4x+13=180
4x= 167
x=41.75
Angle ABC= 47.75
Angle CBD= 87.5
Answer:
-11, and -9 is the range for 1/2 and 0 respectively
Step-by-step explanation:
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Pentagons have five sides, so 5x = 20. Only value for x that makes this true is 4, so 4 cm per side.
