Given:
Population mean, μ = 10
Population standard deviation, σ = 1.5
Random variable, x = 11.
By definition, the z-score is
z = (x - μ)/σ
= (11 - 10)/1.5
= 0.667
Answer: 0.667
<h3>
Explanation:</h3>
Given:
- total score is 63
- field goals score 3
- touchdowns score 7
Find:
- a linear equation representing the relationships given
- a graph of that equation
- combinations of field goals and touchdowns that give the score
Solution:
1. see above for what is given
2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.
The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.
Likewise, the total score from y touchdowns can be written as the term 7y.
__
The equation of interest is then ...
3x + 7y = 63
The graph of it, and its integer solutions, is attached.
Possible combinations of (field goals, touchdowns) are ...
(0, 9), (7, 6), (14, 3), (21, 0)
There is 100% percent in all. so instead of finding 20% of it and subtracting, finding 80% percent of the original is much easier at times.
Answer:
The height is 6 inches.
Step-by-step explanation:
Area of the square = length of a side squared.
This square has area 6^2 = 36 in^2.
Area of the parallelogram = base * height
= 6h.
As the areas are equal:
6h = 36
h = 36/6 = 6 inches.
A. x = 3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=3