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3 years ago

Which equations represent exponential growth?

Mathematics

1 answer:

Tems11 [23]3 years ago

8 0

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

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A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of

myrzilka [38]

Answer:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(60,13.5)$

Where $\mu=60$ and $\sigma=13.5$

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error of the mean would be:

$\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5$

4.1.5

Step-by-step explanation:

Previous concepts

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".

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Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(60,13.5)$

Where $\mu=60$ and $\sigma=13.5$

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error of the mean would be:

$\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5$

4.1.5

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3 years ago

-13+x=-25 what is the value of x

Ulleksa [173]

Answer:

$\huge\boxed{-12}$

Step-by-step explanation:

In order to find x with the equation $-13 + x = -25$ , we can play with the equation until we have x isolated on one side of the equation.

Add 13 to both sides:

$-13 + x + 13 = -25 + 13\\\\-13 + 13 = 0, -25 + 13 = -12\\\\x = -12$

Hope this helped!

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3 years ago

Read 2 more answers

What weight is equivalent to 40 ounces

vaieri [72.5K]

Answer:

40 ounces = 2.5 pounds

Step-by-step explanation:

divide the mass by 16.

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4 years ago

Which of the following illustrates the truth value of the given conditional statement?

ivolga24 [154]

Answer:

~p -> ~q

Step-by-step explanation:

A conditional statement in logic may be symbolized by the alphabets, p and q, It always contains an if - then statement.

There is always a logical connector in the statement with the symbol ->.

A conditional statement is false if the hypothesis is true and the conclusion is false.

The statement in the answer above reads in word; "if not p then not q".

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3 years ago

A group of objects or numbers is called a A part of a set is called a

love history [14]

Answer:

Set; subset.

Step-by-step explanation:

A group of objects or numbers is called a set while a part of a set is called a subset. The objects or numbers that make up a set are generally referred to as elements or members and are written inside a pair of curly braces {}.

A set can be made up of elements such as numbers, alphabets, people, cars etc.

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On the other hand, a subset is a part of a larger set.

<em>For instance, comedy movies, horror movies, romance movies, action movies are a subset of movies. </em>

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3 years ago