I've attached the complete question.
Answer:
Only participant 1 is not cheating while the rest are cheating.
Because only participant 1 has a z-score that falls within the 95% confidence interval.
Step-by-step explanation:
We are given;
Mean; μ = 3.3
Standard deviation; s = 1
Participant 1: X = 4
Participant 2: X = 6
Participant 3: X = 7
Participant 4: X = 0
Z - score for participant 1:
z = (x - μ)/s
z = (4 - 3.3)/1
z = 0.7
Z-score for participant 2;
z = (6 - 3.3)/1
z = 2.7
Z-score for participant 3;
z = (7 - 3.3)/1
z = 3.7
Z-score for participant 4;
z = (0 - 3.3)/1
z = -3.3
Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96
Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.
Thus, only participant 1 is not cheating while the rest are cheating.
Answer: Y=-1/4x
Step-by-step explanation:
A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).
The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).
Putting these two values together we get:
m (slope) = rise / run
m = -1 / 4
Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:
y = (-1/4)x
Shawndra is correct
She made two statements, and both are true:
1. It is not possible to draw a trapezoid that is a
rectangle.
This is true because a trapezoid<span> is a quadrilateral that has exactly one pair of
parallel sides, whereas a rectangle is a parallelogram (i.e. it has two
pairs of parallel sides)</span>
2. It is possible to draw a square that is a rectangle.
This is true because a rectangle refers to any parallelogram
with right angles. A square is also a parallelogram (has two pairs of opposite
sides) with right angles. In fact, all squares are rectangles; only that they
are a special kind of rectangle, where all the sides are equal in length.
