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3 years ago

Solve logarithmic equation

Mathematics

1 answer:

patriot [66]3 years ago

8 0

X = 60 is the answer to x

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Which function grows at the fastest rate for increasing values of x? g(x)=14x p(x)=12x3+9 f(x)=2x2−x h(x)=3x

iris [78.8K]

The function that is growing at the fastest rate is p(x) = 12x^3 + 9.

This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.

5 0

4 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 44,663 miles, with a standard

expeople1 [14]

Answer:

The probability is $P(| \= X- \mu| < 199 ) = 0.733$

Step-by-step explanation:

From the question we are told that

The mean mileage of a tire is $\mu = 44663$

The standard deviation is $\sigma = 2594$

The sample size is n = 209

Generally the standard error of mean is mathematically represented as

$\sigma_{x} = \frac{\sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{2594}{\sqrt{209} }$

=> $\sigma_{x} = 179.4$

Generally the probability that the sample mean would differ from the population mean by less than 199 miles is mathematically represented as

$P(| \= X- \mu| < 199 ) = P(|\frac{\= X - \mu}{ \sigma_{x}}| < \frac{199}{ 179.4})$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

=> $P(| \= X- \mu| < 199 ) = P(|Z| < \frac{199}{ 179.4})$

=> $P(| \= X- \mu| < 199 ) = P(|Z|< 1.11)$

=> $P(| \= X- \mu| < 199 ) = P(-1.11 \le Z \le 1.11 )$

=> $P(| \= X- \mu| < 199 ) = P(Z \le 1.11 ) - P( Z \le -1.11 )$

From the z table the area under the normal curve to the left corresponding to 1.11 and -1.11 is

$P(Z \le 1.11 ) = 0.8665$

and

$P(Z \le - 1.11 ) = 0.1335$

$P(| \= X- \mu| < 199 ) = 0.8665 - 0.1335$

=> $P(| \= X- \mu| < 199 ) = 0.733$

8 0

3 years ago

A house purchased for 125,000 is expected to appreciate according to the formula y = 7,000x + 125,000, Where Y is the value of t

Dennis_Churaev [7]

Answer:

When x = 5, y = 7000 * 5 + 125000 = $160,000.

When x = 10, y = 7000 * 10 + 125000 = $195,000.

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4 years ago

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What is a term please tell me

mezya [45]

Answer:

A term is a mathematical expression. In 3x+5+f, there are 3 terms.

Step-by-step explanation:

you get it?

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3 years ago

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The width of the wading pool is 2.45m. Convert the width to centimeters.

lutik1710 [3]

Answer:

245

Step-by-step explanation:

1m-100cm

2.45m=2.45x100

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2 years ago

Solve logarithmic equation￼

Solve logarithmic equation