All categories

2 years ago

Simplify the following expressions by factoring using the greatest common factor:

Mathematics

1 answer:

Sindrei [870]2 years ago

8 0

Answ

Step-by-step explanation:

−42−5i 2y−1(y−2)(y−2)

You might be interested in

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

Solve 6 + 5 √ 2 4 9 − 2 x = 7

NISA [10]

$6+5\sqrt{249}-2x=7 \\-2x=7-6-5\sqrt{249} \\-2x\approx-77.9 \\x\approx\frac{-77.9}{2}\approx38.95$

Hope this helps.

7 0

3 years ago

Darrien read 97 pages last week.Evan read pages last week.How many 8 my 6. pages did, the boys read?

const2013 [10]

I’m really confused about this

7 0

3 years ago

A baker uses a coffee mug with a diameter of 8 cm 8 cm8, start text, space, c, m, end text to cut out circular cookies from a bi

horsena [70]

Answer:

Step-by-step explanation:

The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.

Radius of the coffee mug is diameter of the coffee mug/2.

Radius of the coffee mug

= 8/2 = 4cm

The area of the circular mug is expressed as

Area = πr^2

Where π is a constant whose value is 3.14

Therefore,

Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2

The area of the top of the circular cup is the same as the area of each cookie. Therefore,

The area of each cookie is 50.24 cm^2

3 0

3 years ago

Read 2 more answers

Noah reads the problem, “Evaluate each expression, giving the answer in scientific notation.” The first problem part is: 5.4×105

muminat

Answer:5.4×105+2.3×104.

Step-by-step explanation:

8 0

3 years ago