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Gnesinka [82]
3 years ago
10

I don't understand this at all I just need an answer plz

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

The correlation coefficient has to do with how well the points line up. If they are all on a line with positive slope, the correlation coefficient is 1. If that line has negative slope, the correlation coefficient is -1.

When the points are not on a line, the magnitude of the correlation coefficient is related to how "scattered" the points are. Completely random points that lie on no discernible line have a correlation coefficient of 0.

The given points lie near a line with positive slope, so the correlation coefficient is near 1. The most appropriate choice here is r = 1.

_____

The computed value of the correlation coefficient for this data is 0.968.

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3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.
Lyrx [107]
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
4 0
3 years ago
Pls help i really need it!!!!!<br><br> i dont understand how to do it
xz_007 [3.2K]
Just remember that 1 mile is equal to 5,280 feet.

If we have 5 miles, we need to multiply it my 5,280 which would equal 26,400.


Then we have the other 529 feet that they gave. Just add 26,400ft and 529ft and they will equal 26,929 ft.


Hope it helped! Remember, five tomatoes! (five two eight oh(0)).
6 0
3 years ago
List the first five multiples of 1
irga5000 [103]
THE FIRST 5 MULTIPLES OF 1 ARE:1,2,3,4,AND 5
3 0
4 years ago
Read 2 more answers
Surface area triangle prism 3in ,3in ,3in 2.6 in, 7 in
vodka [1.7K]

Answer:

The answer is 70.8

Step-by-step explanation:

You do 7x3 times 2 and then 3x2.6 and then 7x3 again. You add them all up and get 70.8

21 + 21 + 3.9 + 3.9 + 21 = 70.8

6 0
3 years ago
If w = 5 cos (xy) − sin (xz) and x = 1/t , y = t, z = t^3 ; then find dw/dt
Scrat [10]

In this question, we find the derivatives, using the chain's rule.

Doing this, the derivative is:

\frac{dw}{dt} = \frac{5}{t}(\sin{1} - \cos{1}) - 2t\cos{t^2}

Chain Rule:

Suppose we have a function w(x,y,z), x = x(t), y = y(t), z = z(t), and want to find it's derivative as function of t. It will be given by:

\frac{dw}{dt} = \frac{dw}{dx}\frac{dx}{dt} + \frac{dw}{dy}\frac{dy}{dt} + \frac{dw}{dz}\frac{dz}{dt}

Thus, we have to find the desired derivatives, which are:

  • w of x:

\frac{dw}{dx} = -5y\sin{(xy)} - z\cos{(xz)}

Considering x = \frac{1}{t}, y = t, z = t^3

\frac{dw}{dx} = -5t\sin{(1)} - t^3\cos{(t^2)}

  • w of y:

\frac{dw}{dy} = -5x\cos{(xy)}

Considering x = \frac{1}{t}, y = t

\frac{dw}{dy} = -\frac{5}{t}\cos{1}

  • w of z:

\frac{dw}{dz} = -x\cos{(xz)}

Considering x = \frac{1}{t}, z = t^3

\frac{dw}{dz} = -\frac{1}{t}\cos{(t^2)}

  • Derivatives of x, y and z as functions of t:

\frac{dx}{dt} = -\frac{1}{t^2}

\frac{dy}{dt} = 1

\frac{dz}{dt} = 3t^2

  • Derivative of w as function of t.

Now, we just replace what we found into the formula. So

\frac{dw}{dt} = \frac{dw}{dx}\frac{dx}{dt} + \frac{dw}{dy}\frac{dy}{dt} + \frac{dw}{dz}\frac{dz}{dt}

\frac{dw}{dt} = (-5t\sin{(1)} - t^3\cos{(t^2)})(-\frac{1}{t^2}) - (\frac{5}{t}\cos{1}) - (\frac{1}{t}\cos{(t^2)})3t^2

Applying the multiplications:

\frac{dw}{dt} = \frac{5}{t}\sin{1} + t\cos{t^2} - \frac{5}{t}\cos{1} - 3t\cos{t^2}

Applying the simplifications:

\frac{dw}{dt} = \frac{5}{t}(\sin{1} - \cos{1}) - 2t\cos{t^2}

Which is the derivative.

For more on the chain rule, you can check brainly.com/question/12795383

8 0
3 years ago
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