All categories

3 years ago

The prime factorization of 132=223*11 a.what is the prime factorization of 88?

Mathematics

1 answer:

Harrizon [31]3 years ago

8 0

The prime factorization of 88 is 11 x 2 x 2 x 2 the only factor of 88 that prime numbers are 2 and 11

You might be interested in

Is 12 years a MACRS recovery period?

Nesterboy [21]

Answer: Note that the ADS and GDS recovery period for cars, light trucks, an computers are the same, 5 years.

Step-by-step explanation:

8 0

3 years ago

The 7 in 72 represents how many times the value of the 7 in 78 is what ?

earnstyle [38]

Answer:

One time

Step-by-step explanation:

In both the numbers 72 and 78, the place value of 7 is 70.

Hence, 7 in 72 represents one time the value of the 7 in 78.

7 0

3 years ago

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.

gtnhenbr [62]

Answer:

a) $r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) $m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

Step-by-step explanation:

Part a

The correlation coeffcient is given by 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 our case we have this:

n=4 $\sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501$

$r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5$

And the slope would be:

$m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

And we can find the intercept using this:

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

4 0

2 years ago

Form the quadratic equation whose one root is 2 + 2^(1/2)

Oksanka [162]

9514 1404 393

Answer:

x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

(x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

(x -2)^2 -(√2)^2 = 0

x^2 -4x +4 -2 = 0

x^2 -4x +2 = 0 . . . . the equation you're looking for

4 0

2 years ago

A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

seropon [69]

Answer:

$71.33$ degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

$cos\alpha = \frac{B}{L}$

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

$Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33$

4 0

2 years ago

The prime factorization of 132=2*2*3*11 a.what is the prime factorization of 88?

The prime factorization of 132=223*11 a.what is the prime factorization of 88?