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asambeis [7]
2 years ago
13

Rewrite √32/8 into simplified radical form

Mathematics
1 answer:
fomenos2 years ago
8 0


Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2

as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.

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Explain how to make a precise graph of y = -2x + 3 without making a T-Table.
kifflom [539]

Answer:

x 2 + 5 x + 6

Step-by-step explanation:

y = m x + c

y- intercept

x = 0

y = (-2) (0) + 3

=3

(x =0,  y = 3)

<h3>slope -2 </h3><h3>y = -1 x + 3</h3>
8 0
3 years ago
-8p^2+8p+7=9<br> how do i find the discriminant
m_a_m_a [10]
The discriminant can be found using the formula b^2-4ac 

First put your equation in standard form, where all your values are on one side, and just add f(x) or y in front of your equation. 
y= 8p^2-8p+2

The first value of your equation is a   (a=8)
The second term of your equation is b  (b=-8)
The last term of your equation is c  (c=2)

Plug in the values to the discriminant equation b^2-4ac 
5 0
4 years ago
Evaluate the expression if m =<br> -4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.<br> |16+4(3q + p)|
swat32

Answer:

720

Step-by-step explanation:

|16+4(3(-6)+(2)|

|20(-18*2)|

|20*-36|

|-720|

720

7 0
3 years ago
Read 2 more answers
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

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.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

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

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

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
4 years ago
Inqualities question pls help!
Margaret [11]

Answer:

B

Step-by-step explanation:

The closed circle at - \frac{3}{2} indicates that x can equal this value

The open circle at \frac{7}{2} indicates that x cannot equal this value.

All values of x between - \frac{3}{2} and \frac{7}{2} are valid, thus

- \frac{3}{2} ≤ x < \frac{7}{2} → B

5 0
3 years ago
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