Indicate True of False for 3g > 15 Substitute 5 for g.

The value of a car is expected to decrease exponentially. Which formula can you use to predict the value of the car for a given

IgorLugansk [536]

Hey there!

When the value of something goes down over time- a house, a car, anything- it's called depreciation.

It would be expressed as exponential decay. This is because the value is going down exponentially as stated in the problem. Additionally, when it decays, the growth factor is less than one, so the value steadily decreases.

Let's rule out our other options:

B) Half-Life. This doesn't work because it's usually used for radioactive decay, which is usually a steady decrease of radioactivity and material that divides by two, hence the word half. For example:

Day 0) Started with 10 grams of plutonium
Day 1) 5 grams
Day 2) 2.5 grams

And so on.

C) Compound Interest. Like simple interest, but compunds usually at a certain point - yearly, monthly, every ten years, and so on. But, this is used for interest, mostly in a bank account or if you have a loan. It doesn't exhibit depreciation, and therefore it's not used to predict car value.

D) Exponential Growth- Exponential growth does not work for one main reason - it grows. That would mean that the value of the car goes up- and unless it's an old and very expensive car, that wouldn't be the case.

Hope this helps!

5 0

3 years ago

What is this method called?????

Serga [27]

Answer:

The algebraic method is a collection of several methods used to solve a pair of linear equations with two variables.

Step-by-step explanation:

8 0

3 years ago

The amount of protein that an individual must consume is different for every person. There are solid theoretical ideas that sugg

amid [387]

Answer:

The proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is 0.239, that is, 239 persons for every 1000, or simply 23.9% of them.

$\\ 0.239 =\frac{239}{1000}\;or\;23.9\%$

Step-by-step explanation:

From the question, we have the following information:

The distribution for protein requirement is normally distributed.
The population mean for protein requirement for adults is $\\ \mu= 0.65 gP*kg^{-1}*d^{-1}$
The population standard deviation is $\\ \sigma =0.07 gP*kg^{-1}*d^{-1}$

We have here that protein requirements in adults is normally distributed with defined parameters. The question is about the proportion of the population that has a requirement less than $\\ x = 0.60 gP*kg^{-1}*d^{-1}$ .

For answering this, we need to calculate a z-score to obtain the probability of the value x in this distribution using a standard normal table available on the Internet or on any statistics book.

<h3>z-score</h3>

A z-score is expressed as

$\\ z = \frac{x - \mu}{\sigma}$

For the given parameters, we have:

$\\ z = \frac{0.60 - 0.65}{0.07}$

$\\ z = -0.7142857$

<h3>Determining the probability</h3>

With this value for z at hand, we need to consult a standard normal table to determine what the probability of this value is.

The value for z = -0.7142857 is telling us that the requirement for protein is below the population mean (negative sign indicates this). However, most standard normal tables give a probability that a statistic is less than z and for values greater than the mean (in other words, positive values). To overcome this, we need to take the complement of the probability given for z-score z = 0.7142857, that is, subtract from 1 this probability, which is possible because the normal distribution is symmetrical.

Tables have values for z with two decimal places, then, for z = 0.7142857, we need to rewrite it as z = 0.71. For this value, the standard normal table gives a value of P(z<0.71) = 0.76115.

Therefore, the cumulative probability for values less than x = 0.60 which corresponds to a z-score = -0.7142857 is approximately:

$\\ P(x$

$\\ P(x$ (rounding to three decimal places)

That is, the proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is

$\\ 0.239 =\frac{239}{1000}\;or\;23.9\%$

See the graph below. The shaded area is the region that represents the proportion asked in the question.

5 0

4 years ago

Find the reciprocal (Urgent!!)

Mars2501 [29]

Answer:

1) 2

2) $\frac{3}{2}$ or $1\frac{1}{2}$

3) 5

4) 3

5) $\frac{5}{3}$ or $1\frac{2}{3}$

6) $\frac{4}{5}$

7) $\frac{5}{2}$ or $2\frac{1}{2}$

8) $\frac{7}{3}$ or $2\frac{1}{3}$

9) $\frac{2}{3}$

Step-by-step explanation:

The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.

Hope it helps!

3 0

3 years ago

How do you solve the equation 2/3 ÷3/11

Ber [7]

Reduce the expressions, if possible by cancelling the common factors.
Exact form: 22/9
Decimal form: 2.4
Mixed Number form: 2 2/9

5 0

3 years ago

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