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3 years ago

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay

B is answer

finlep [7]3 years ago

4 0

The correct answer is:

B.P=1/4;a=5

Explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.

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Mnenie [13.5K]

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

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95% confidence level

So $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5$

The upper limit of this interval is:

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A similar problem is given at brainly.com/question/16807970

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