Answer:
X=4
Step-by-step explanation:
collect like term than move the rate and divide by 12
Gina was the fastest of all ,while Patrick is slowest<span />

<h2>
Explanation:</h2>
A right triangle is a special triangle that has a right angle. In this case, we have to write a system of inequalities that defines a shaded region that looks like a right triangle. First of all, let's say that at the origin the triangle will have a right angle. To do so, we'd need to set:

So the shaded region in this first part will be the First Quadrant as indicated in the first figure below. So if the opposite side lies on the x-axis the adjacent side will lie on the y-axis or if the adjacent side lies on the x-axis the opposite side will lie on the y-axis. Everything is ok up to this point. We just need to define the hypotenuse, so we'd need to define a line. In order to have a right triangle, we need a line with negative slope and positive y-intercept shaded under the line. So, this inequality could be:

Finally, the system of inequalities would be:

And the final shaded region is the one shown in the second figure.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/2486051
#LearnWithBrainly

integrate to get
![[ln|t|]^{3x}_x=ln|3x|-ln|x|=ln| \frac{3x}{x}| =ln |3|=ln(3)](https://tex.z-dn.net/?f=%5Bln%7Ct%7C%5D%5E%7B3x%7D_x%3Dln%7C3x%7C-ln%7Cx%7C%3Dln%7C%20%5Cfrac%7B3x%7D%7Bx%7D%7C%20%3Dln%20%7C3%7C%3Dln%283%29)
this only is true when x>0
when x turns negative, we get -ln(3) because of math
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!