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3 years ago

3. (Skill: Evaluating function notation.)

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

Answer:

Step-by-step explanation:

You must change every X of the fuction by the number inside in f( ), in this case you will change every X of x2 - 3x +1 by -4

$f(x)=x^{2} -3x+1\\f(-4)=(-4)^{2} -3(-4)+1\\f(-4)=16+12+1\\f(-4)=29$

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following frequency distribution shows the daily expenditure on milk of 30 households in a locality:Daily expenditure on milk(in

valina [46]

Note: As you missed to identify what we have to find in this question. But, after a little research, I am able to find that we had to find the Mode for the data given in your question. So, I am assuming we have to calculate the the Mode. Hopefully, it would clear your concept regarding this topic.

Answer:

The mode of the data = 75

Step-by-step explanation:

Lets visualize the given data in a table to show the frequency distribution:

Daily expenditure on milk (in Rs) Number of households

0-30 5

30-60 6

60-90 9

90-120 6

120-150 4

Here the maximum frequency is 9.

So, modal class is 60-90.

As the formula to calculate the mode:

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

Here, the maximum

$l_{1} =60, f_{1} =9, f_{0}=6, f_{0}=6, h=30$

$l=$ is the lower limit of the class

$f_{1} =$ is the frequency of the modal class

$f_{0} =$ is the frequency of the previous modal class

$f_{2} =$ is the frequency of the next previous modal class

$l=$ is the class size

So,

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

$Mode = 60 + 30 (\frac{9-6}{2(9)-6-6} )$

$Mode = 60 + \frac{(30)(3)}{6}$

$Mode = 60 + 15=75$

∴ The mode of the data = 75

Keywords: mode, frequency distribution

Learn more about mode and frequency distribution from brainly.com/question/14354368

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5 0

3 years ago

BRAINLIEST IF CORRECT

erik [133]

Answer:

$100000$

Step-by-step explanation:

$10^{5}$ means $10$ multiplied by itself by $5$ times.

$10^5 = 100000$

Hope this helps :)

5 0

3 years ago

Read 2 more answers

I don't understand how to do this

ddd [48]

Answer:

64 $\pi$ in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = $\pi$ $r^{2}$

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

A= $\frac{\pi r^{2} }{4}$

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

A= $\frac{16\pi }{4}$ = $\frac{4\pi }{1}$ =4 $\pi$

Now lets get it back to $r^{2}$ by square rooting the 4

A= $\sqrt{4\pi }$ =2 $\pi$

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² $\pi$ which simplifies to 64 $\pi$

And a final answer of

64 $\pi$ in²

Hope this helps :)

5 0

3 years ago

Help please and hurry

motikmotik

Answer:

100%-10%=90% 90% of 400=360, So the answer is $360 dollars.

Step-by-step explanation:

10 percent of 400 is 360

5 0

3 years ago

Given h(x) = 5x + 2, solve for a when h(x) = -8.

Whitepunk [10]

Answer:

i think its -38

Step-by-step explanation:

3 0

4 years ago