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Lorico [155]
3 years ago
5

Which of the following is the linear parent function?

Mathematics
2 answers:
AlexFokin [52]3 years ago
7 0

Answer:

A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function

labwork [276]3 years ago
6 0

Answer:

F(x) = x

Step-by-step explanation:

A line is of the form

x to the first power

1/x is not x to the first power and makes a curve

|x| makes a v shape

x^3 is a curve

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An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid
Nadusha1986 [10]

Answer:

8.3

Step-by-step explanation:

hopeee this helpss outt !!

3 0
3 years ago
Read 2 more answers
Reduce 1.256 g to micrograms, to milligrams, and to kilograms.
ch4aika [34]

Answer:

1.256g = 1,256,000 micrograms

1.256g = 1256mg

1.256g = 0,001256kg

Step-by-step explanation:

This is a conversion of units problem, that can be solved by rules of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 1.256g to micrograms

Each g has 1,000,000 ug. So:

1g - 1,000,000 ug

1.256g - xug

x = 1,000,000*1.256

x = 1,256,000 micrograms

Second step: 1.256g to mg

Each g has 1,000 mg. So:

1g - 1,000mg

1.256g - xmg

x = 1,000*1.256

x = 1256mg

Final step: 1.256g to kg

Each kg has 1,000g. So:

1kg - 1,000g

xkg - 1.256g

1,000x = 1.256

x = \frac{1.256}{1,000}

x = 0,001256kg

5 0
3 years ago
In a recent year, the ACT scores for the math portion of the test were normally distributed, with a mean of 21.1 and a standard
Natali5045456 [20]

Answer:

a) P(X

And we can find this probability using the normal standard table or excel:

P(z

b) P(19

And we can find this probability with this difference:

P(-0.396

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.396

c) P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

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

P(z>0.925)=1- P(Z

d) We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

A value below 10.5 can be consider as unusual

Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7

A value abovr 31.7 can be consider as unusual

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".  

Part a

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

X \sim N(21.1,5.3)  

Where \mu=21.1 and \sigma=5.3

We are interested on this probability

P(X

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

And we can find this probability using the normal standard table or excel:

P(z

Part b

P(19

And we can find this probability with this difference:

P(-0.396

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.396

Part c

P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

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

P(z>0.925)=1- P(Z

Part d

We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

A value below 10.5 can be consider as unusual

Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7

A value abovr 31.7 can be consider as unusual

6 0
3 years ago
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y
AURORKA [14]

Answer:

does not exist

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What two equivalent fractions for 8/8?
stira [4]

Answer:

2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

do u mind giving me brainlest im trying to level up.

thank u

4 0
2 years ago
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