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3 years ago

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Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R

ound your answer to the nearest hundredth, if necessary.

1 answer:

kow [346]3 years ago

4 0

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

$f=\frac{kg}{h}$ , where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

$-7=\frac{k(56)}{-2}$

$-7\times -2=56k$

$k=\frac{14}{56}=\frac{1}{4}$

The equation now becomes:

$f=\frac{g}{4h}$

if f=10 and h=-12, then;

$10=\frac{g}{-48}$

$g=-48\times 10=-480$

The correct answer is B.

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Step-by-step explanation:

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slamgirl [31]

Answer:

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Step-by-step explanation:

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

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

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This is between the 2.5th percentile and the 97.5th percentile.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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