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sveticcg [70]
3 years ago
12

Two composite numbers with one factor tree

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0
By definition, a prime number is only evenly divisible by itself, or the number 1, and it is greater than 1. If a number is composite, you can divide it evenly by numbers other than 1. For example, if you divide 7 by any integer other than 1, you end up with a fraction or decimal; therefore, 7 is prime. However, 8 is divisible by 2 and 4 (8/2 = 4, 8/4 = 2). Breaking down a number into its prime and composite factors is helpful for a number of mathematical processes.
<span>Hope that works out! :D</span>

Nonamiya [84]3 years ago
6 0
I can't make a tree very easily but I will still answer you question

a composite number, if you did not already know, is a number that can be divided by a diffarent whole number and still get a whole number (exg. 4/2=2=composite  5/2=a decimal=prime)

so one composit number is 16
the factored out tree is 2*8
                                     2*4
                                       2*2

another is 24
 the factor tree is 2*12
                              2*6
                                   2*3
hope you can see the tree as I typed it out
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The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
Makovka662 [10]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0
3 years ago
Describe the graph of a function g by observing the graph of the base function f ? ​
never [62]

Answer:

Choice 3 is your answer

Step-by-step explanation:

The format of the function when you move it side to side or up and down is

f(x) = (x - h) + k,

where h is the side to side movement and k is up or down.  The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.

The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h).  If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3).  Our function has moved up 5 units, so the final translation is

g(x) = f(x + 3) + 5, choice 3 from the top.

5 0
3 years ago
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