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DedPeter [7]
3 years ago
15

What is the prime factorization of 360 It would be super helpful if you could answer!

Mathematics
2 answers:
Anastasy [175]3 years ago
5 0

Answer:

2^3 × 5 × 3^2

Step-by-step explanation:

360

2 and 180

2 and 90

2 and 45

5 and 9

3 and 3

2 × 2 × 2 × 5 × 3 × 3

2^3 × 5 × 3^2

bulgar [2K]3 years ago
4 0

2 x 2 x 2 x 3 x 3 x 5 = 360.

Or in exponential form:

2 to the power of 3 x 3 to the power of 2 x 5 to the power of 1.

Hope this helps! If it doesn't, comment below please!

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<span>The expression is missing from the question, but here is the given expression which I got from a similar question.

48 + 54 = ___ ´ (8 + 9)

Theleft-hand side of the equation is:
                                                             48 + 54 = 102
Now the right-hand side of the equation:
                                                                    A </span>× (8+9) = Right-hand side
                                                                    A × (8+9) = 102
Solving for the unknown variable A,
                                                                    A × 17 = 102
Dividing by 17 on both sides,
                                                A × 17 ÷ 17 = 102 ÷ 17
                                                         A × 1 = 6
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Hence,
           48 + 54 = 6 x (8 + 9)

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4 years ago
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Answer:

Correlation between x and y is 0.9508          

Step-by-step explanation:

We are given the following in the question:

Distance(x):   1     4       6     6       6       7

      Days(y):  2    20    29    38     44     50

We have to find the correlation between x and y.

\sum y = 183\\\sum x=30\\\bar{x} = \displaystyle\frac{\sum x}{n} = \frac{30}{6} = 5\\\\\bar{y} = \displaystyle\frac{\sum y}{n} = \frac{183}{6} = 30.5\\\\(x-\bar{x}) = -4,-1,+1,+1,+1,+2\\(y-\bar{y}) = -28.5,-10.5,-1.5,7.5,13.5,19.5\\\sum (x-\bar{x}) (y-\bar{y})  = 183\\\sum(x-\bar{x})^2 = 24\\\sum(y-\bar{y})^2= 1543.5\\

Formula:

r = \dfrac{\sum(x-\bar{x})(y - \bar{y})}{\sqrt{\sum(x-\bar{x})^2\sum(y-\bar{y})^2}}

Putting values, we get,

r = \dfrac{183}{\sqrt{24\times 1543.5}} = 0.9508

Thus, correlation between x and y is 0.9508

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