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Grace [21]
3 years ago
13

The two-way frequency table below shows data on behavior of students and the use of positive phone calls home as an incentive fo

r behavior for a group of students at Lion's Lane Elementary School.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

In statistics, the relative frequency is the percentage/ proportion of times a determined event has occurred in a given experiment.

In this exercise you have to calculate the relative frequencies of the observed student's behavior, given that they received positive phone calls as an incentive and the observed student's behavior, given that they didn't receive positive phone calls as an incentive.

If "x" represent the number of observations for the category (Desirable behavior and Undesirable behavior) of interest and "n" the total number of observations in each row (Phone call and No phone call), you can calculate the relative frequencies as: f(x)= x/n

For the students that received the phone call:

n= 19 + 9= 28

The student showed desirable behavior: f(x)= 19 / 28= 0.678= 0.68

The student showed undesirable behavior: f(x)= 9 / 28= 0.678= 0.32

For the students that didn't receive the phone call:

n= 8 + 6= 14

The student showed desirable behavior: f(x)= 8 / 14= 0.678= 0.57

The student showed undesirable behavior: f(x)= 6 / 14= 0.678= 0.428= 0.43

I hope this helps!

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2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c<br>A=<br>B=<br>C= <br>Please I'm gonna fail math
aleksley [76]

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  \dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)

_____

<em>Additional comment</em>

I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

  2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}

Multiplication increases the number of times the base is a factor.

  (2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  \dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1

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