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Firlakuza [10]
3 years ago
5

3(x+3)=30 i have literally forgotten everything about algebra

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

3(x+3)=30

3x+9=30

3x=21

x=7


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Fraction strip for 1/4, 2/8,3/12
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4/16, 5/20, 6/24, 7/28, 8/32...

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n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
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Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

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2 years ago
What is the coefficient and the constant in 4+x=15?
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Problem: 4+x=15
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7 0
2 years ago
A researcher wishes to​ estimate, with 9090​% ​confidence, the proportion of adults who have​ high-speed Internet access. Her es
Sunny_sXe [5.5K]

Answer:  a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : z_{\alpha/2}=1.645

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271

Required minimum sample size= 271

8 0
2 years ago
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