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Taya2010 [7]
2 years ago
9

-

Mathematics
2 answers:
OlgaM077 [116]2 years ago
5 0

Answer: D

Step-by-step explanation:

g(x)=f(x-2)=8(x-2)+1=8x-16+1=8x-15

DIA [1.3K]2 years ago
3 0

We are given that ;

  • f(x) = 8x + 1
  • g(x) = f(x-2)

And we need to find <em>g(x)</em> in simplified form . For this we will consider <em>f(x)</em> and then substitute <em>x</em> by <em>x-2</em> .

{:\implies \quad \sf f(x)=8x+1}

Now ,

{:\implies \quad \sf f(x-2)=8(x-2)+1}

{:\implies \quad \sf g(x)=8x-16+1\quad \qquad \{\because Given\}}

{:\implies \quad \bf \therefore \quad \underline{\underline{g(x)=8x-15}}}

<em>Hence , Option D) 8x - 15 is correct </em>

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The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume
ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  \sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} }  }

= \sqrt{2067128.4706}

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0
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6 0
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