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tia_tia [17]
2 years ago
15

Evaluate the piecewise function for the given values.

Mathematics
1 answer:
adoni [48]2 years ago
5 0

Answer:

f(-3) = -2

f(-2.6) = -2

f(0.6) = 2.4

f(4.5) = 8.5

Step-by-step explanation:

(Whole question:

Evaluate the piecewise function for the given values.

Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)

As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2

For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

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Dafna1 [17]

The relative frequency for the third class, 60 - 69 is equal to 12%.

<h3>What is a class width?</h3>

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

<h3>What is a frequency table?</h3>

A frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

<h3>How to calculate the relative frequency for the third class, 60 - 69?</h3>

First of all, we would determine the total number of frequency as follows:

Total frequency = 12 + 11 + 6 + 10 + 11

Total frequency = 50.

Mathematically, relative frequency can be calculated by using this formula:

Relative frequency = class frequency/total frequency × 100

Relative frequency = 6/50 × 100

Relative frequency = 0.12 × 100

Relative frequency = 12%.

Read more on frequency table here: brainly.com/question/20744563

#SPJ1

Complete Question:

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative frequency for the third class, 60 - 69?

8 0
1 year ago
PLEASE HELP!!!
zloy xaker [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
I need help plish k squared minus 11
timama [110]

Answer:  It's an algebraic expression

Step-by-step explanation:  k²- 11 is an algebraic expression.

If you found my answer helpful please choose my answer as Brainliest. I would appreciate it! Good luck everyone! :)

8 0
2 years ago
stockbroker allocated \$100,000 to an account earning per year compounded continuously. If no withdrawals are made, how much was
notka56 [123]

Answer:

The range is also the whole of R

Step-by-step explanation:

4 0
3 years ago
Find the amount in a continuously compounded account for the following condition. ​Principal, ​$​4000; Annual interest​ rate, 5.
soldi70 [24.7K]
<h3>Answer:  4745.96 dollars</h3>

=======================================================

Explanation:

We have this given info

  • P = 4000 = principal
  • r = 0.057 = annual interest rate in decimal form
  • t = 3 = number of years

Use this to plug into the formula below

A = Pe^{r*t}\\\\A = 4000*e^{0.057*3}\\\\A \approx 4,745.96299608713\\\\A \approx 4,745.96\\\\

You'll need your calculator, and the calculator needs the "e" button.

The "e" refers to the special constant 2.718... which is similar to pi = 3.14...

7 0
2 years ago
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