Answer:
Mean and standard deviation of the sample mean are 225.8 and 3.56 respectively.
Step-by-step explanation:
The mean (μₓ) and standard deviation of the sample mean (σₓ) are related to the mean (μ) and standard deviation of the population (σ) through the following relationship
μₓ = μ = 225.8
σₓ = σ/√n = 17.8/√25 = 17.8/5 = 3.56
(x^2 + 4x + 8)(2x - 1) = 2x(x^2 + 4x + 8) - (x^2 + 4x + 8) = 2x^3 + 8x^2 + 16x - x^2 - 4x - 8 = 2x^3 + 7x^2 + 12x - 8
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
- 3x + 2 ( - 6x² + 13x - 6 )
= - 3x - 12x² + 26x - 12
= - 12x² + 23x - 12