Hello!
Given two real numbers "a" and "b", the complex number z is defined as:
The complex conjugate of "Z = a + bi" is "Z = a – bi"
Given the complex number , "a" is called the real part and "b" the imaginary part.
Therefore:
Re(a) = 5
Im(b) = -2
Answer:
a. 5 + 2i
__________________________
I Hope this helps, greetings ... DexteR! =)
Answer:
Step-by-step explanation:
Hello!
You have the growth of 12 plants over a week (cm)
To construct a box plot you have to identify the 1st, 2nd, and 3rd Quartiles for the box and the maximum and minimum values for the whiskers.
Box
1st Quartile (Q₁)
Is the value of the data set that separates the bottom 25% from the top 75%. First, you need to calculate its position:
PosQ₁= n/4= 12/4= 3
So the first quartile is the third value.
6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14
Q₁= 7
2nd Quartile/ Median (Q₂/Me)
PosMe= 12/2= 6
The second quartile in the 6th value.
6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14
Q₂=Me= 8
3rd Quartile (Q₃)
PosQ₃= n*(3/4)= 12*(3/4)= 9
The third quartile is the 9th value.
6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14
Q₃= 10
The left whisker extends from the Q₁ to the minimum value.
The right whisker extends from the Q₃ to the maximum value.
Min= 6
Max= 14
'------| | |-------'
6 7 8 10 14
The box plot that best displays a summary of the data, is C.
I hope this helps!
Answer:
quarts
12 days
Step-by-step explanation:
Given that:
Amount of water leaked in 4 days = 3 quarts
To find:
Number of quarts leaked in 1 week?
Number of days taken for the leakage of 9 quarts of water?
Solution:
We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.
As per question statement:
Amount of water leaked in 4 days = 3 quarts
Dividing by 4 on both sides:
Amount of water leaked in 1 day = quarts
Multiplying by 7 on both sides:
Amount of water leaked in 7 days = quarts
Number of days taken for the leakage of 3 quarts = 4 days
Multiplying by 3 on both sides:
Number of days taken for the leakage of 3 3 = 9 quarts = 4
3 = <em>12 days</em>