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gregori [183]
3 years ago
13

On the number line, between what two consecutive whole numbers is square root 54

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
<span>The problem is basically asking you to approximate the square root of numbers that are not perfect squares. You should be able to recognize that 54 is very close to 49 and you should know that the square root of 49 is 7. You should also know that the next perfect square is 64 (whose square root is 8). Therefore the square root of 50 is between 7 and 8, but closer to 7 since 50 is closer to 49.</span>
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What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
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If you roll a fair six-sided die and a fair four-sided die, what is the probability that the dice add to 6 or higher
Lena [83]
Okay so you have to figure out all the possible ways to get six or higher. between a 6 sided dice and a 4 sided dice. We do 6*24 to find all the possibilities.

The probability of getting a 6 or higher is 14/24



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3 years ago
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Step-by-step explanation:

Dividing number by -2

5 0
4 years ago
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Ksju [112]
Answer is 3x

Reduce the index of the radical and exponent with 2
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3 years ago
Need answer please!!!!!
VladimirAG [237]

Answer:

C

Step-by-step explanation:

You plug it into a calculator and it gives you that number. You have a calculator option on the left hand side that you can figure this out in as well.

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