Transversal is the awnser
By inspection, LMNO is similar to PQRS.
For similar figures, corresponding sides are proportional, therefore
LM/PQ=MN/QR
Substituting values
4/2=6/c
Cross-multiply
4c=6*2=12
c=12/4=3
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
The hypothesis :
H0 : σ²= 47.1
H1 : σ² > 47.1
α = 5% = 0.05
Population variance, σ² = 47.1
Sample variance, s² = 83.2
Sample size, n = 15
The test statistic = (n-1)*s²/σ²
Test statistic, T = [(15 - 1) * 83.2] ÷ 47.1
Test statistic = T = [(14 * 83.2)] * 47.1
Test statistic = 1164.8 / 47.1
Test statistic = 24.73
The degree of freedom, df = n - 1 ; 10 = 9
Critical value (0.05, 9) = 16.92 (Chisquare distribution table)
Reject H0 ; If Test statistic > Critical value
Since ; 24.73 > 16.92 ; Reject H0 and conclude that variance is greater.
Let the answer be x percent:
So we say: the tax is x% of the price,
this means: $3.56 is x% of $89
"something %" means 1/100 times something,
thus, we write and solve the following equation:
![\displaystyle{ 3.56= \frac{x}{100}\cdot 89](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%203.56%3D%20%5Cfrac%7Bx%7D%7B100%7D%5Ccdot%2089%20)
![3.56\cdot100=x\cdot89](https://tex.z-dn.net/?f=3.56%5Ccdot100%3Dx%5Ccdot89)
![356=89x](https://tex.z-dn.net/?f=356%3D89x)
![\displaystyle{ x= \frac{356}{89}= 4](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20x%3D%20%5Cfrac%7B356%7D%7B89%7D%3D%204)
Answer: the tax is 4%