Rhombus RSTU is congruent to rhombus
1 answer:
Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal
<h3>What are the properties of a rhombus?</h3>Some of the properties of a rhombus are;
- The sides are congruent.
- All the opposite sides are parallel to each other.
- Diagonals bisect each other perpendicularly.
- The angles are supplementary, that is, they add up to 180°
If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.
Learn more about a rhombus here:
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Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity
Sample 1 (aqueous film forming foam)
n₁= 5
X[bar]₁= 4.7
S₁= 0.6
Sample 2 (alcohol-type concentrates )
n₂= 5
X[bar]₂= 6.8
S₂= 0.8
Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?
The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:
t=
a) 95% CI
(X[bar]_1 - X[bar]_2) ± *
Sa²= =
= 0.5
Sa= 0.707ç
(4.7-6.9) ± 2.306*
[-4.78; 0.38]
With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.
b.
The hypothesis is:
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
The interval contains the cero, so the decision is to reject the null hypothesis.
<u>Complete question</u>
a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?