Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
The probability of getting exactly zero tails is 1/8.
Step-by-step explanation:
When a fair coin is tossed three time, the set of equally likely outcomes is:
S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}
n(S)=8
Let A be the event that there are exactly zero tails which means there are all heads
Then
A= {HHH}
n(A)=1
The probability of getting exactly zero tails is 1/8.
Keywords: Probability, Equally likely events
Learn more about probability at:
#LearnwithBrainly
The answer is C because 100 doesn’t change but 12 is dependent on the number of people.
Answer:
The median of the data set:
6, 15, 30, 45, 47, 49
The middle numbers are 30 and 45 so
You have to do 30 + 45
= 75
Then do 75 ÷ 2
= 37.5
The mean of the data set:
47, 15, 6, 49, 45, 30 (add them all)
= 192
Then divide 192 by 6 (because there are 6 numbers)
192 ÷ 6
= 32
So the median is 37.5 and the mean is 32.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
