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3 years ago

Which function is the inverse of ? f(x)=50,000(0.8)^x

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

y=log(x)−log(50000)log(0.8)

Explanation:

write as : y=50000(0.8)x

Taking logs:

log(y)=log(50000)+log(.(0.8)x.)

But log(.(0.8)x.) is the same as xlog(0.8)

Thus
x=log(y)−log(50000)log(0.8)

Now swap the x'x and the y's giving:

y=log(x)−log(50000)log(0.8)

my teacher helped a little bit

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Answer:

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2 years ago

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3 years ago

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Answer:

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3 years ago

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$\bar x = 82$

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Step-by-step explanation:

Given

$n = 12$

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To do this, we simply calculate the sample mean

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$\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}$

$\bar x = \frac{984}{12}$

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Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

$\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}$

$\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}$

$\sigma = \sqrt\frac{1022}{11}$

$\sigma = \sqrt{92.91}$

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Hence, the need to solve for sample mean and sample standard deviation

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3 years ago

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Answer:

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Step-by-step explanation:

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