1. Rationalise the denominator
(20+10i+10i-5)/2^2-i^2
2. Collect like terms
((20-5)+(10i+10i))/2^2-i^2
3. Simplify (20-5)+(10i+10i) to 15+20i
15+20i/2^2-i^2
4. Simplify 2^2 to 4
15+20i/4-i^2
5. Use square rule
15+20i/4-(-1)
6. Simplify brackets
15+20i/4+1
7. Simplify 4+1 to 4
15+20i/5
8. Factor out the common term 5
5(2+4i)/5
9. Cancel 5
3+4i
10. Your final answer
3+4i
Have a nice day ;D
Answer:$24
Step-by-step explanation: If you know that $30 is how much Jackie made, to find on how much Joe made, multiply $30 by ".80", which represents that Joe made 80% of what Jackie made. By doing so, you end up with $24, which is 80% of what Jackie made.
Where is Tenisha's system?
find the mean, median, and interquartile range for the data set below. 5,8,9,11,13,15,16,17,17,18,22,23
Alekssandra [29.7K]
Answer:
Mean: 14.5
Median: 15.5
IQR = 7.5
Step-by-step explanation:
For mean:
Mean= (∑x)/n
=(5+8+9+11+13+15+16+17+17+18+22+23)/12
= 174/12
=14.5
Median:
As the data is already sorted and the number of items are odd, average of two middle values will be the median of the data.
5,8,9,11,13,15,16,17,17,18,22,23
Median=(15+16)/2
=31/2
=15.5
IQR:
For IQR, the data has to be divided in two parts, lower and upper, then we have to find the median of both parts separately. The difference of medians of both parts is called the Interquartile range.
So for lower part,
5,8,9,11,13,15
Median for lower part= (9+11)/2
= 20/2
=10
For upper part:
16,17,17,18,22,23
Median for lower part= (17+18)/2
= 35/2
=17.5
IQR=17.5-10
=7.5
Every 15 degrees along the line of longitude is equivalent to a time difference of 1 hour.
Given that <span>it is 10:00 am at your location when it is noon along the prime meridian</span>, this means that you are 2 hours behind the prime meridian.
The prime meridian is 0 degrees and you are 2 x 15 = 30 degrees west of the prime meridian.
Therefore, your longitude is 30 degrees west.