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3 years ago

What is the solution to this equation? 4x+10+3x=40-3x

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

Step 1: combine like terms

On the left side, you can combine 4x and 3x to get 7x and the right side is already simplified

Now we have 7x+10=40-3x

Step 2: subtract 10 from both sides

10-10 = 0 and 40-10 = 30

Now we have 7x = 30-3x

Step 3: Add 3x to both sides

7x +3x = 10x and 30-3x+3x = 30

Now we have 10x =30

Step 4: divide by 10 on both sides

10x/10 = x and 30/10= 3

Therefore, we have x =3

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2 years ago

Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con

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Answer:

Step-by-step explanation:

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$H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55$

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }$

$Z = \dfrac{-1}{\dfrac{5.3}{6} }$

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Using the Excel Formula:

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For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

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Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

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The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

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Using the Excel Formula:

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