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xenn [34]
3 years ago
5

According to Vinay's model, what is the probability that he will have a male history teacher two years in a row?

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

(3/8) ^2

Step-by-step explanation:

P ( male history teacher) = Number males/ total

                                         = 3/8

Assuming nothing changes in year two

P ( male history teacher year two) = Number males/ total

                                         = 3/8

P( male, male) = 3/8 * 3/8 = (3/8) ^2

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PQ has endpoints P(-4, -2) and Q(-6, 8). What is the length of segment PQ in simplest radical form?
harina [27]

Answer:

The answer is

<h2>2 \sqrt{26}  \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points of a line segment can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(-4, -2) and Q(-6, 8)

The length of the line segment is

|PQ|  =  \sqrt{ ({ - 4 + 6})^{2} +  ({ - 2 - 8})^{2}  }  \\  =  \sqrt{ {2}^{2}  +  ({ - 10})^{2} }  \\  =  \sqrt{4 + 100}  \\  =  \sqrt{104}  \:  \:  \:  \:  \:  \:  \:  \\  = 2 \sqrt{26}  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

2 \sqrt{26}  \:  \:  \:  \: units

Hope this helps you

6 0
3 years ago
What is the length of the line?
Lelu [443]
6cm or (6,1)

If ur talking about vectors It’s (6,1)
6 0
1 year ago
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
Nadusha1986 [10]

Using the given formula speed = distance over time:

Speed = 70 miles / 3 hours

Speed = 23.33 miles per hour

Convert miles per hour to meters per hour:

1 mile = 1609 meters:

23.33 miles x 1690 meters = 37,543.33 meters per hour.


Now convert meters per hour to meters per second:

1 hour = 3600 seconds:

37,543.33 / 3600 = 10.4 meters per second.

4 0
3 years ago
Find the value of x.<br> A) 21 <br> B) 27 <br> C) 31 <br> D) 34
Whitepunk [10]
The answer is a, 21. 21x3 is 63. 63 + 1 = 64.
7 0
3 years ago
Read 2 more answers
Please help asap!:)) and show work!
Vikki [24]

Answer:

The other acute angle = 33 1/3°

Step-by-step explanation:

Hard to read the angle measure.  

one acute angle = 56 2/3°      x =  the second acute angle

Find the other acute angles.

The two acute angles sum in a right triangle = 90°  

56 2/3° + x° = 90°

x =  90 - 56 2/3

x = 89 3/3° - 56 2/3°

x = 33 1/3°

8 0
3 years ago
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