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3 years ago

8

How.to find domain and.range of.a.function?

1 answer:

mestny [16]3 years ago

8 0

Depends greatly on the type of function.
Some things to keep in mind:
1.) the value of the denominator of a fraction cannot be zero
2.) the inside of an even root cannot be less than zero
3. The argument of a logarithmic function must be greater than zero
4. Plus many more other rules and such

But a simpler explanation, just find out what values x can be for the given function, and what y can be.
The x values make up the domain, the y, the range

Graphs are helpful
Hope this helps!

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A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given

pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, $Mean = Median=Mode$

For positively skewed distribution, $Mean > Median>Mode$

For negatively skewed distribution, $Mean < Median$

The mean of the given data set is given below:

$Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}$

$=\frac{753}{26}$

$=28.96$

Now, the Median is:

To find the median we need to sort the data in ascending order as:

$20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54$

$Median=\left(\frac{N+1}{2} \right)^{th} item$

$=\left(\frac{26+1}{2}\right)^{th} item$

$=13.5^{th} item$

$=26+0.5 \times (27-26)$

$=26.5$

$\therefore Median = 26.5$

The mode is the most frequently occurring observation. Therefore the mode is:

$Mode=23$

Since the $Mean >Median>Mode$ , therefore the distribution of the given data set is positively skewed.

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3 years ago

A rectangle has a length of 4 feet and a perimeter of 16 feet. What is the perimeter of a similar rectangle with a length of 9 f

kompoz [17]

The answer is 42 feet I use substitution and subtract by 8

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3 years ago

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3 years ago

Simplify radical 125

timurjin [86]

Answer:

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Step-by-step explanation:

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3 years ago

The interior angles of a triangle are

lbvjy [14]

Answer:

$8x+13y = 130$

Step-by-step explanation:

sum of interior angles in a triangle is 180 degree

interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)

add all the angles and make it equal to 180

$5x+3y+3x+20+10y+30= 180$

combine like terms

$5x+3y+3x+20+10y+30= 180$

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subtract 50 from both sides

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4 0

3 years ago