Answer:
c
d
Step-by-step explanation:
i cant see the pic that good
Similarity is the comparison between two things in a fashion that shows what is similar or shared between those two things. Similar qualities, similar behaviors, etc are all categorized as a similarity comparison.
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).
Step-by-step explanation:
Since we have given that
Number of alluvial wells = 349
Number of quaternary wells = 143
Number of alluvial wells that had concentrations above 0.1 = 182
Number of quaternary wells that had concentrations above 0.1 = 112
Average of alluvial wells = 0.27
Standard deviation = 0.4
Average of quaternary wells = 1.62
Standard deviation =1.70
So, 95% confidence interval gives
alpha = 5% level of significance.
![\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Calpha%7D%7B2%7D%3D2.5%5C%25%5C%5C%5C%5Cz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D1.96)
So, 95% confidence interval becomes,
![(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)](https://tex.z-dn.net/?f=%281.62-0.27%29%5Cpm%201.96%5Csqrt%7B%5Cdfrac%7B0.4%5E2%7D%7B349%7D%2B%5Cdfrac%7B1.7%5E2%7D%7B143%7D%7D%5C%5C%5C%5C%3D1.35%5Cpm%201.96%5Ctimes%200.020%5C%5C%5C%5C%3D%281.35-0.040%2C1.35%2B0.040%29%5C%5C%5C%5C%3D%281.31%2C1.39%29)
Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).