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3 years ago

Find the midpoint of PQ.

Mathematics

2 answers:

Nutka1998 [239]3 years ago

8 0

Answer:

D. (3,-1)

Step-by-step explanation:

you use the midpoint formula

(x¹+x² y¹+y²)

( 2. , 2. )

then plug P and Q in for X and Y

andrew11 [14]3 years ago

4 0

Answer: D. (3, -1)

Step-by-step explanation: its the only point that is in the line

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Zolol [24]

Answer:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

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Step-by-step explanation:

For this case we can calculate the sample variance and deviation with the following table

Class Midpoint (Xi) fi Xi*fi Xi^2 *fi

120.6-123.6 122.1 17 2075.7 253443

123.7-126.7 125.2 49 6134.8 768077

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133.0-136.0 134.5 35 4007.5 633158.8

___________________________________________

Total 171 22026.1 2839948.85

For this case we can calculate the mean or expected value with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

Now we can calculate the sample variance with the following formula:

$s^2 =\frac{\sum f_i X^2_i -[\frac{(\sum X_i f_i)}{n}]^2}{n-1}$

And if we replace we got:

$s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59$

And the standard deviation would be the square root of the variance and we got:

$s= \sqrt{16.59}=4.07$

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Answer:

the answer is D

Step-by-step explanation:

the answer is 14 or D

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