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Dmitry_Shevchenko [17]
1 year ago
7

PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ

Mathematics
1 answer:
hodyreva [135]1 year ago
6 0

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3                      2 + (-2)

--------------      ,       ----------------

     2                               2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

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Eighth grade ) T.5 Pythagorean theorem: word problems 87U
Komok [63]

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

by pythagoras theorem

c²=a²+b²

b²=c²-a²

b =  \sqrt{ {c}^{2} -  {a}^{2}  }

subtitute in the values

b =  \sqrt{ {15}^{2} -  {9}^{2}  }

b =  \sqrt{225 - 81}

b =  \sqrt{144}

b = 12

7 0
2 years ago
What is the vertex form of 2x^2+10x-5
Nataly_w [17]
<span><span>Two Solutions
1. x =(10-√140)/4=(5-√<span> 35 </span>)/2= -0.458</span><span> 

2. x =(10+√140)/4=(5+√<span> 35 </span>)/2= 5.458</span></span>
7 0
3 years ago
Use the formula A = bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this prob
ELEN [110]
A=bh
108=12(h)
h=a/b
h=108/12
h=9
5 0
3 years ago
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
Katen [24]

Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

Determine the 90% confidence interval

This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

7 0
2 years ago
A bottle contains 2 green gum balls, 2 red gum balls, and 1 blue gum ball.
aliya0001 [1]

Answer:

3/5

Step-by-step explanation:

First add all of the balls together to know the total.

2 + 2 + 1 = 5

Probability of Green: 2/5

Probability of Red: 2/5

Probability of Blue: 1/5

Add red and blue together

2/5 + 1/5 = 3/5

3/5

Brainliest would be appreciated. :)

5 0
2 years ago
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