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2 years ago

Directions:Solve this equation

Mathematics

1 answer:

avanturin [10]2 years ago

7 0

Answer:

-3.21538461538

Step-by-step explanation:

$\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}$

$\mathrm{Multiply\;both\;sides\;by\;5}:$ $5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5$

$\mathrm{Now\;we\;have\;}:$ $25+25x=12x-\frac{84}{5}$

$\mathrm{Subtract\;by\;sides\;by\;25}:$ $25+25x-25=12x-\frac{84}{5}-25$

$\mathrm{Thus\;we\;have}:$ $25x=12x-\frac{209}{5}$

$\mathrm{Subtracting\;12x\;from\;both\;sides}:$ $25x-12x=12x-\frac{209}{5}-12x$

$\mathrm{So\;then\;we\;have:}$ $13x=-\frac{209}{5}$

$\mathrm{Now\;divide\;both\;sides\;by\;13}:$ $\frac{13x}{13}=\frac{-\frac{209}{5}}{13}$

$\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}$

$\mathrm{Decimal\;form}:-3.21538461538$

<u><em>Kavinsky</em></u>

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

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This is 1 subtracted by the pvalue of Z when X = 600. So

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$Z = \frac{600 - 500}{100}$

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b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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