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.
So, 95% confidence interval becomes,
Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).
Answer:
The perimeter is 109.8
Step-by-step explanation:
As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent
When two triangles are congruent, the ratio of their corresponding sides are equal
So we can get the scale factor here by looking at the sides facing each specific angle in both triangles
In the bigger triangle,
The side facing 34 degrees has a length of 30
In the smaller triangle,
The side facing 34 degree has a length of 27
So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9
Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36
So the ratio still stands at 36/40 = 9/10 or 0.9
In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger
The perimeter of the bigger is simply the sum of the side lengths
We have this as;
(52 + 30 + 40) = 122
so that of the smaller would be;
122 * 0.9 = 109.8
Hi again! ;)
If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.
Since each side of a square is the same, we first find the area of one surface:
9 × 9 = 81
Then, to find the surface area, we multiply 81 by 6:
81 × 6 = 486
The surface area is
Answer:
6 cm
Step-by-step explanation:
The area of a parallelogram is found by
A = b*h
24 = 4*h
Divide each side by 4
24/4 = 4h/4
6 =h
Answer:
A. x = -3
B. x = 2
C. x = 9/10
Step-by-step explanation:
(A) –12x + 9 = –15x
Collect like terms
9 = -15x + 12x
9 = -3x
x = 9 / -3
x = -3
(B) 4.5x + 11.5 = 8.5x + 3.5
4.5x - 8.5x = 3.5 - 11.5
-4x = -8
x = -8 / -4
x = 2
(C) 23x – 9 = 13x
-9 = 13x - 23x
-9 = -10x
x = -9 / -10
x = 9/10
