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Aneli [31]
3 years ago
12

Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O

A. -6 > O B. 12 O c. 6 O D.-12
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

Rate = \frac{f(b) - f(a)}{b - a}

Where

(a,b) = (2,4)

So, we have:

Rate = \frac{f(4) - f(2)}{4 - 2}

Rate = \frac{f(4) - f(2)}{2}

Using the attached graph, we have:

f(2) = 4

f(4) = 16

So, we have:

Rate = \frac{16- 4}{2}

Rate = \frac{12}{2}

Rate = 6

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Answer:

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H_0: \pi \geq0.25\\\\H_1: \pi

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It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

H_0: \pi \geq0.25\\\\H_1: \pi

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

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The test statistic is calculated as:

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As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

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3 years ago
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