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Answer: Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Area of the garden: 4(2.5x+3.5)
Combined area of the garden and the walkway: 4.5(4x+6)
Area of the walkway = A
So, the combined area of the garden and the walkway is equal to sum of both areas:
4(2.5x+3.5)+ A = 4.5(4x+6)
Solving for A:
A = 4.5(4x+6) - 4(2.5x+3.5)
Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)
Answer:
Yes
Step-by-step explanation:
The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.
It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .
Therefore
(standard deviation/ √sample size)²= variance / n
2/ √20
= 2/4.472
=0.44721
The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n
Answer:
l = 14 , w = 12
Step-by-step explanation:
2l + 2w = 52 → (1)
l - w = 2 → (2)
multiplying (2) by 2 and adding to (1) will eliminate the w- term
2l - 2w = 4 → (3)
add (1) and (3) term by term to eliminate w
4l + 0 = 56
4l = 56 ( divide both sides by 4 )
l = 14
substitute l 14 into either of the 2 equations and solve for w
substituting into (1)
2(14) + 2w = 52
28 + 2w = 52 ( subtract 28 from both sides )
2w = 24 ( divide both sides by 2 )
w = 12