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Sliva [168]
3 years ago
8

Let 3 × 3 × 3 × 3 = n. Which choice also equals n? A) 3 × 4 B) 34 C) 4 ÷ 3 D) 43

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer

B you forgot to put the 3^4

Step-by-step explanation:

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Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

5 0
3 years ago
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3
ololo11 [35]

Answer:

(n- 2/3)²

Step-by-step explanation:

  • <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>

We have:

  • n² - 4n/3

It can be put as:

  • n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

  • b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

  • n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²

7 0
4 years ago
Write as an expression:<br> the total of n and 16
Mekhanik [1.2K]
Total is just add
n+16 is total of 16 and n
4 0
3 years ago
Which intersection forms a parabola?
NeTakaya

Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

7 0
4 years ago
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