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4 years ago

Find an equivalent function to f(x) = 5(3)3x.

1 answer:

6 0

If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:

<span>f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
</span>
The correct result would be <span>f(x) = 5(27)x.</span>

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Identify the domain and range for the continuous graph provided below. Select all that apply for both the domain and range. Ther

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The answer is 1, 2, 5, and 9

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3 years ago

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

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Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

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3 years ago

Select the common unit rate you would use to solve a problem involving the speed of a vehicle.

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3 years ago

How do you add integers with different signs?

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Step-by-step explanation:

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3 years ago

A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, G

Korolek [52]

Answer:

The test statistic is z = -2.82.

Step-by-step explanation:

A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.

This means that the null hypothesis is: $H_{0} = 0.5$

The alternate hypothesis is: $H_{a} > 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 tested at the null hypothesis:

This means that:

$\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.

This means that $n = 2027, X = \frac{950}{2027} = 0.4687$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}$

$z = -2.82$

The test statistic is z = -2.82.

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3 years ago