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2 years ago

Solve it 6x+3y=15 x=2and y=5

Mathematics

1 answer:

Ghella [55]2 years ago

3 0

Step-by-step explanation:

$6x + 3y = 15x = 2and y = 5$

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Can someone solve Pythagorean theorem

Ad libitum [116K]

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is $a^2+b^2=c^2$

we have a and c

so substitute them in

$14^2+b^2=50^2$

now you can solve

$196+b^2=2500$

subtract 196 from both sides

$b^2=2500-196$

subtract

2500 - 196 = 2304

$b^2=2304$

solve for the square root

square root of 2304= 48

therefore b= 48 units

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cbf%7B%20%7B15%7D%5E%7B2%7D%20%5Ctimes%20%20%7B3%7D%5E%7B2%7D%20%20%20%5Cdiv%20%20%5Csqrt

34kurt

$\\ \tt\Rrightarrow 15^2\times 3^2\div \sqrt[3]{125}+9^3$

$\\ \tt\Rrightarrow 3^25^2\times 3^2\div 5^1+3^33^3$

$\\ \tt\Rrightarrow 3^45^1\div 3^6$

$\\ \tt\Rrightarrow 3^{-2}5$

$\\ \tt\Rrightarrow \dfrac{1}{3^2}5$

$\\ \tt\Rrightarrow \dfrac{5}{9}$

7 0

2 years ago

Two friends, Alejandra and Mia, agreed to split the check at a restaurant. Alejandra ordered $12 worth of food and Mia ordered $

dedylja [7]

12+18=30 so together they have $30.00 in all.

6 0

2 years ago

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

Using the graph as your guide, complete the following statement.

ollegr [7]

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

$\Delta = \sqrt{b^2-4ac}$

if $\Delta > 0$ we have 2 distinct real solution

if $\Delta$ we have no real solution but 2 complex solutions

if $\Delta = 0$ we have 2 identical real solution

7 0

2 years ago