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pishuonlain [190]
3 years ago
10

Which statement is true about this function h(x) = 2^x-5

Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

I had this question for a practice on edmentum lol

If your multiple choice answers had the choice

“As x approaches positive infinity, h(x) approaches positive infinity”

Thats your answer.

Explanation: Function h is a transformation of the parent exponential function, f(x)=2^x, and has been translated 5 units to the rights. Even though it is transformed, its end behavior is the same as that of the parent function

Source: Edmentum

Give thanks and vote! (This is my first answer eeee)

Hope that helped. :)

Marysya12 [62]3 years ago
3 0

Answer:

\frac{1}{32} x

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

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.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

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

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

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Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

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