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3 years ago

The function f(t)=|98.6_x| Represent a person

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

U know I can replace ur x and you won’t even know y boom

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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

Explanation

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

(Please refer to the attached image for the table )

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

Read 2 more answers

Factor the GCF: −12x4y − 9x3y2 + 3x2y3

monitta

Factor the coefficients:
-12=(-1)(3)(2^2)
-9=(-1)(3^2)
3=3

The greatest common factor (GCF) is 3

Next we find the GCF for the variable x.
x^4
x^3
x^2
The GCF is x^2.

Next GCF for variable y.
y
y^2
y^3
the GCF is y

Therefore the GCF is 3x^2y
To factor this out, we need to divide each term by the GCF,
(3x^2y)(−12x4y/(3x^2y) − 9x3y2/(3x^2y) + 3x2y3/(3x^2y) )
=(3x^2y)(-4x^2-3xy+y^2)
if we wish, we can factor further:
(3x^2y)(y-4x)(x+y)

3 0

3 years ago

40 POINTS!!!! What is the value x? 15 25 30 35

harina [27]

Answer:

Step-by-step explanation:

If the two lines are parallel and has other line intersect ; the angle will be equal so the answer is 35.

7 0

3 years ago

zhenek [66]

Answer:

640 cm³

Step-by-step explanation:

Each prism has a volume of (4 cm) (4 cm) (20 cm) = 320 cm³.

There are two prisms, so the total volume is 640 cm³.

4 0

3 years ago

Does the absolute value graph below flips or not flips? F(x)=2|x-9|+3

True [87]

Answer:

The absolute value graph below does not flip.

Step-by-step explanation:

New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.

The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.

"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and flip across the x-axis if "a" is negative.

"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and flip across the y-axis if "k" is negative.

"d" shows horizontal shifts left (positive number) or right (negative number).

"c" shows vertical shifts up (positive) or down (negative).

The function f(x)=2|x-9|+3 has these transformations from the parent graph:

a = 2; Vertical stretch by a factor of 2

k = 1; No change

d = 9; Horizontal shift right 9 units

c = 3; Vertical shift up 3 units

Since neither "a" nor "k" was negative, there were no flips, also known as reflections.

6 0

3 years ago