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elena-s [515]
2 years ago
8

What table shows the function y=-2x-8

Mathematics
1 answer:
Zolol [24]2 years ago
4 0

Answer:

Step 1

Swap sides so that all variable terms are on the left hand side.

-2x-8=y−2x−8=y

Step 2

Add 88 to both sides.

-2x=y+8−2x=y+8

Step 3

Divide both sides by -2−2.

\frac{-2x}{-2}=\frac{y+8}{-2}

−2

−2x

=

−2

y+8

Hint

Undo multiplication by dividing both sides by one factor.

Step 4

Dividing by -2−2 undoes the multiplication by -2−2.

x=\frac{y+8}{-2}x=

−2

y+8

Hint

Undo multiplication.

Step 5

Divide y+8y+8 by -2−2.

x=-\frac{y}{2}-4x=−

2

y

−4

Hint

Divide.

Solution

x=-\frac{y}{2}-4x=−

2

y

−4

Step-by-step explanation:

yan po sana makatulong

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Answer:

a)<em> Null hypothesis : H₀</em>:  the proportion of defective item of computer has been lowered. That is P < 0.15

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Step-by-step explanation:

<u>Step(i)</u>:-

<em>Given the sample size 'n' = 42</em>

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

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<em>The sample proportion of defective computers </em>

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<em>Given The Population proportion 'P' = 0.15</em>

<em>The level of significance ∝=0.01</em>

<u>Step(ii)</u>:-

a)<em> Null hypothesis : H₀</em>:  the proportion of defective item of computer has been lowered. That is P < 0.15

<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b)

    Test statistic   Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

                       

c)      

                 Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }

                 z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991      

                     

  Calculate the value of the test statistic Z = - 0.9991

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<u>Step(iii)</u>:-

d)

        The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e)   Calculate the value of the test statistic Z = 0.991 < 2.57  at 0.01 level of significance.

<u><em>Conclusion</em></u>:-

    Hence the null hypothesis is accepted at 0.01 level of significance.

f)

<em>     The proportion of defective item of computer has been lowered.</em>

 

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