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3 years ago

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St lies on the coordinate plane with s located at (3.2). The midpoint of dt is z(3,9) state the location of the endpoint T thank

you!!

1 answer:

77julia77 [94]3 years ago

4 0

Answer:

T = (3,16)

Step-by-step explanation:

The midpoint formula is just another version of the pythagorean theorem, and it states that the midpoint between (x1,y1) and (x2,y2) is $\left(\frac{x_1+x_2}{2}\right),\:\left(\frac{y_1+y_2}{2}\right)$

Substituting what we know:

endpoint S is (3,2) and endpoint T is (x2,y2)

Midpoint Z is (3,9). We will apply the formula -- backwards.

$\left(\frac{3+x_2}{2}\right)=3$ , solving with algebra we get x2 = 3

So the x-coordinate of endpoint T is 3.

$\left(\frac{2+y_2}{2}\right)=9\quad$ , solving with algebra, we get y2 = 16.

So the y-coordinate of endpoint T is 16.

So the location of endpoint T is (3,16)

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Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

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Step-by-step explanation:

Information given

$n_1 = 16$ represent the sampe size 1

$n_2 =16$ represent the sample 2

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$s^2_2 = 5.5$ represent the sample variance for 2

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The statistic is given by:

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