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3 years ago

Given 7cx + b = a, rearrange the equation for x, in terms of a, b, and c.

Mathematics

2 answers:

lana66690 [7]3 years ago

8 0

Actually, you want to rearrange the given equation to solve for x:

7cx + b = a

Let's isolate 7cx by subtracting b from both sides of this equation:

7cx = a - b

Then x = (a - b) / (7c)

kiruha [24]3 years ago

6 0

Already in terms of a
Term b = 7cx - a = b
Term c = 7x + a - b = c

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

(2.91562, 3.04438)

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Step:1

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

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

Step:2

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

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

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

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

Final answer:-

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

(2.91562, 3.04438)

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