True. a homogeneous mixture in which there is a solvent and solute is a solution.
Answer:
95% confidence interval for the mean μ is (6,14)
The Population mean μ lies between ( 6, 14 )
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given random sample 'n' = 1200
95% confidence interval for the mean μ is determined by
Level of significance = 95% 0r 0.05
Z₀.₀₅ = 1.96
= 10 ± 4
Mean of the small sample = 10
95% of confidence intervals are
( 10 ±4 )
( 10 -4 , 10+4)
( 6 , 14 )
95% confidence interval for the mean μ lies between ( 6, 14 )
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
Answer:
91
Step-by-step explanation:
Two similar polygons, means a similarity would exist in both polygons
- Perimeter of a rectangle = 2(l +w)
- Perimeter of the larger rectangle = 36 (because it's the largest figure)
- equation becomes 36 = 2(L + W)
- since L = 14, it becomes = 36 = 2(14 +W)
- 36 = 28 + 2W
- 2W = 36 - 28 = 2w = 8
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
- 21 = 2(L + 4) = 21 = 2L + 8
lastly the product of the length of both polygons = 14 * 6.5 = 91.
Their Products length is 91
