In Rhombus ABCD if BD is 24 ft and AD is 15 ft, then what is the length of AC?
1 answer:
Answer:
AC = 24ft
Step by Step Explanation.
Given.
Rhombus.
BD = 24ft
AD = 15ft
Required
Length of AC
A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)
The opposite sides of a parallelogram are always of equal length
From the attached diagram (not drawn to scale), side AC opposites side BD
Given that BD = 24ft, then
AC = BD = 24ft.
Hence, AC = 24ft
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Answer:
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given the mean of the Population(μ) = 419 grams
The sample size 'n' =19
Given mean of the sample x⁻ = 412
Given variance of the sample S² = 784
S = √784 = 28
<u><em>Step(ii)</em></u>:-
<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.
<u><em>Alternative hypothesis: H₁:</em></u>
There is sufficient evidence to support the claim that the bags are underfilled.
Test statistic
t = -1.09
|t| = |-1.09|
<em>Degrees of freedom ν = n-1 = 19-1 =18</em>
<em>t₀.₀₂₅ = 3.19</em>
<u><em>Final answer:</em></u><em>-</em>
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled