Answer:
Lines m and n are parallel.
Step-by-step explanation:
< 6 and < 14 are both equal to 72 degrees and they are corresponding angles for lines m and n.
Answer:
(5m^3+4)(5m^3-4)
Step-by-step explanation:
(*) A^2 - B^2 =(A+B) (A-B)
25m^6-16=
(5m^3)^2 - 4^2=(*)
(5m^3+4)(5m^3-4)
Answer:
The sum of ages of all 18 pupils in the class = 81
Step-by-step explanation:
Total number of pupil in the class = 18
Average of years in the class = 
Now, 
⇒Average of sum of ages in the class = 4.05
Let us assume the sum of ages of all students in the class = m
By the formula for AVERAGE:
or, m = 18 x 4.5 = 81
Hence, the sum of ages of all 18 pupils in the class = 81
Answer:
A. mean=14.29
median=16
B. IQR=10
C. option 3
D. 5.91
Step-by-step explanation:
mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29
median is achieved by arranging data in increasing order and then calculating the middle value
4 10 13 16 16 20 21
The mid value is 16 so the median=16
IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10
As n/4=7/4 is not an integer so
Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10
Q3=(3n/4+1)value=6.25=6th value=20
Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91
15 + 15 + 7.50 equals $37.50
