Answer:

Step-by-step explanation:

Answer:
Slope of equation x = 3 is not defined.
Step-by-step explanation:
The graph for equation
is attached.
As clear from the graph, x=3, is a straight line parallel to y-axis.
Slope:
- Since the given equation of line is parallel to the y-axis and parallel lines have same slope.
- Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching
Thus, the given equation will have the same slope as the y-axis.
The slope of y-axis is not defined.
Hence, the slope of this line is not defined.
The maximum happens at x = -b/2a
x = -48/2(-16) = 3/2
Now replace x in the equation and solve for y:
y = 48(3/2) - 16(3/2)^2
y = -72 - 36
y = 36
The maximum height is 36 feet.
Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±
*Sa
]


[(2.90-2.29)±2.715*0.20
]
[0.436; 0.784]
I hope this helps!