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rjkz [21]
3 years ago
10

What are the coordinates of the midpoint of the line segment with end points J (-6, 3) and K (4, -2)

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

(-1 , 1.5)

Step-by-step explanation:

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Find the population variance and standard deviation. 8​, 17​, 29​, 35​, 41 Choose the correct answer below. Fill in the
Nuetrik [128]

Answer:

(a) σ²  = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - \overline{X})² / N

The arithmetic mean \overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}

                                   \overline{X} = \frac{130}{5}

                                   \overline{X} = 26

σ²  =  \frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}

     =  \frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}

     =  \frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}

     = \frac{720}{4}

σ²  = 144

(b) Standard\ deviation = \sqrt{Variance}

                                   = \sqrt{144}

                                   = 12

 

7 0
3 years ago
The product of 5 and x squared
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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
3 years ago
PLEASE HELP ME ASAP!!​
weeeeeb [17]

Answer:

it would be (1,-3) because those point are in the shaded region. therefore it is a solution

Step-by-step explanation:

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