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Nataliya [291]
3 years ago
8

8x - 14 = 7.7x + 3x

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

x=5.2

Step-by-step explanation:

8x−14=7.7x+3x

Step 1: Simplify both sides of the equation.

8x−14=7.7x+3x

8x+−14=7.7x+3x

8x−14=(7.7x+3x)(Combine Like Terms)

8x−14=10.7x

8x−14=10.7x

Step 2: Subtract 10.7x from both sides.

8x−14−10.7x=10.7x−10.7x

−2.7x−14=0

Step 3: Add 14 to both sides.

−2.7x−14+14=0+14

−2.7x=14

Step 4: Divide both sides by -2.7.

−2.7x /−2.7  = 14 /−2.7

x=−5.185185 or 5.2

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Step-by-step explanation:

<u><em>Step:1</em></u>

Given that the size of the sample 'n' = 10

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<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

(x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )

(2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

<u><em>Final answer:-</em></u>

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

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