The answer is 41.41
Since we know the side that is opposite to a, and the hypotenuse, we have enough information to get the cosine of a. The cosine is 45/60. If we know the cosine of an angle, we can get the arccos of that value to get the angle. The arccos of 45/60 is about 41.41.
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!
Answer:
Domain is: (
−
∞
,
∞
) , {
x
|
x
∈
R
}
range is: (
−
∞
,
−
3
] , {
y
|
y
≤
−
3
}
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Step-by-step explanation:
Answer:
The phrase "95% confident" means that there is a 95% confidence that the true mean parking time of students from within the various college on campus is included in the interval (9.1944, 11.738).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.
Or, the (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.
From the provided data the 95% confidence interval for the population mean parking time of students from within the various college on campus is:
CI = (9.1944, 11.738)
This 95% confidence interval implies that the true mean parking time of students from within the various college on campus is included in the interval (9.1944, 11.738) with a specific probability or confidence of 95%.
Thus, the phrase "95% confident" means that there is a 95% confidence that the true mean parking time of students from within the various college on campus is included in the interval (9.1944, 11.738).
