What type of function is represented by the table of values below

Mathematics

2 answers:

mezya [45]2 years ago

3 0

The difference in consecutive y values is increasing by double each time. 2^1, 2², 2³, 2⁴ etc so the function is exponential

Ira Lisetskai [31]2 years ago

3 0

<h2>Answer:</h2>

The function that is represented by the table of values is:

Option: B

B. exponential

<h2>Step-by-step explanation:</h2>

We are given a table of values as follows:

x y

1 2

2 4

3 8

4 16

5 32

Based on the table of values we see that the relation between the independent variable x and the dependent variable y is given by:

$y=2^x$

( since, when x=1 we have: $y=2^1=2$

when x=2 we have: $y=2^2=2\times 2=4$

when x=3 we have: $y=2^3=2\times 2\times 2=8$

and so on)

Hence, the relationship is exponential with base 2 and exponent x.

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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When

Tanya [424]

Answer:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

$\hat p = \frac{24}{250}= 0.096$

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.