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WITCHER [35]
3 years ago
7

F(x)=2x and g(x)=2x+3,what is the value of f(g(-8))

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
4 0

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

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A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i
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Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ =  $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em>                        </em>t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }<em></em>

<em>                        </em>t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }<em></em>

<em>                      t =  -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

6 0
3 years ago
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