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3 years ago

Which of the following are examples of exponential decay?

1 answer:

5 0

Decreasing in quantity according to the law is the definition of exponential decay. but what are the choices you can chose from?

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1/6 divided by 4 i need the answer please thank you.

TiliK225 [7]

Answer:

The correct answer is 1/24

I'm 100000000000% sure.

5 0

2 years ago

Read 2 more answers

5 points

Georgia [21]

Answer:

You have to find 3.25% of 205, 000 and then multiply it by 10. Then, you must add that answer to the 205,000. That will be the correct answer.

6 0

3 years ago

What is an equation of the line that passes through the points (0, 2) and ( 5, 4)?

creativ13 [48]

Answer: y = 2/5 x + 2

Step-by-step explanation:

why not do this one too yk

slope = y2 - y1 / x2 - x1

4 - 2 / 5 - 0

slope = 2/5

ill use (5,4) for the y=mx+b initial equation

y = mx+b

4 = (2/5)(5) +b

4 = 2 + b

2 = b

now for the final equation whoop whoop

y = 2/5 x + 2

7 0

3 years ago

Item 5 Let f(x)=2 (3) x+1 +4 . The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x) . What is th

insens350 [35]

Answer:

$g(x)=4(3)^{x+1}+8$

Step-by-step explanation:

Given:

The original function is given as:

$f(x)=2(3)^{x+1}+4$

The above function is stretched vertically by a factor of 2 to form the graph of $g(x)$ .

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

$f(x)\to Cf(x)$

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of $g(x)$ is given as:

$g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8$

Therefore, the equation of $g(x)$ is $g(x)=4(3)^{x+1}+8$ .

8 0

3 years ago

Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin

NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

2) Confidence interval

Assuming that $\bar X =5.5$ and the ranfom sample n=1086.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=1086-1=1085$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that $t_{\alpha/2}=2.33$

Now we have everything in order to replace into formula (1):

$5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139$

$5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861$

So on this case the 95% confidence interval would be given by (5.139;5.861) We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0

3 years ago