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3 years ago

Every economic decision has only positive benefits. gained opportunities. unavoidable limitations. a consequence or tradeoff.

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

the answer to this question is D

Alina [70]3 years ago

3 0

Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.

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Which graph represents the solution set to the system of inequalities? { y<-1/2+2 y>-3/2x+2

Sidana [21]

The graph of the given system of linear inequalities

y < -1/2 + 2

y > -3/2x + 2

is attached below

<h3>Graph of system of linear inequalities </h3>

From the given information, we are to graph the given system of linear inequalities

The given system of linear inequalities is

y < -1/2 + 2

y > -3/2x + 2

The graph of the given system of linear inequalities

y < -1/2 + 2

y > -3/2x + 2

is shown below

Learn more on Graph of system of linear inequalities here: brainly.com/question/26965469

#SPJ1

5 0

2 years ago

HELP!! I NEED THIS QUICKLY

Elza [17]

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

$x_1=\frac{3}{4}$

$y_1=\frac{2}{3}$

$x_2=\frac{1}{4},y_2=1$

$x_3=1,y_3=\frac{1}{2}$

$x_4=\frac{1}{2},y_4=1$

k= $\frac{1}{2}$

Direct proportion:

$\frac{x}{y}=k$

Inverse proportion: $xy=k$

$\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}$

Therefore, it is not in direct proportion.

$\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}$

$\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}$

$x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}$

$x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}$

$x_3y_3=1\times \frac{1}{2}=\frac{1}{2}$

$x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}$

Therefore, $xy=k=\frac{1}{2}$

Hence, the given points form an inverse variation .

$xy=\frac{1}{2}$

$y=\frac{1}{2x}$

Option A and D is true.

6 0

3 years ago

Michael has a recipe that requires 3/4 cup of flour,and he wants to make 1/2 the recipe. How much flour does he need?

Eva8 [605]

Answer:

Michael will use 3/8 cup of flour.

Step-by-step explanation:

Half of a Fraction:

1. Reduce fraction to its lowest terms.

2. If the numerator is an even number than divide the numerator by 2.

Example: 4/5 divided in half would be 2/5.

3. If the numerator is an odd number than multiply the denominator by 2.

Example: 1/3 divided in half would be 1/6.

3/4 cup of flour divided in half would be 3/8 because the numerator 3 is an odd number so the denominator of 4 would be multiplied by 2 equaling 8.

8 0

2 years ago

Given the graph of a linear function, identify the steps

Sonja [21]

Steps given by

Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line.
The initial value corresponds to the y value when x=0
Find the rate of change using rise over run

4 0

2 years ago

Read 2 more answers

The average maximum monthly temperature in Campinas, Brazil is 29.9 degrees Celsius. The standard deviation in maximum monthly t

kvv77 [185]

Answer:

$P(X>32)=P(\frac{X-\mu}{\sigma}>\frac{32-\mu}{\sigma})=P(Z>\frac{32-29.9}{2.31})=P(z>0.909)$

And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:

$P(z>0.909)=1-P(z$

And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

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

$X \sim N(29.9,2.31)$

Where $\mu=29.9$ and $\sigma=2.31$

We are interested on this probability

$P(X>32)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>32)=P(\frac{X-\mu}{\sigma}>\frac{32-\mu}{\sigma})=P(Z>\frac{32-29.9}{2.31})=P(z>0.909)$

And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:

$P(z>0.909)=1-P(z$

And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C

8 0

3 years ago