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
Answer:
11. ∠ABC = 96°
12. (x – 2)² + (y + 3)² = 4
Step-by-step explanation:
11. The inscribe angle (the angle inside the circle, ∠ABC) is equal to half of the outer circle.
∠ABC = 1/2∠AC
∠ABC = 1/2(192°) = 96°
12. The general equation for a circle is: (x – h)² + (y – k)² = r², where
h and k are the center of the circle (h, k), and r is the radius.
Look at the graph, the circle is centered at (2, -3), so
h=2
k=-3
and the radius of the circle is 2, so
r=2
Plug it all back into the equation:
(x – h)² + (y – k)² = r²
(x – (2))² + (y – (-3))² = (2)²
(x – 2)² + (y + 3)² = 4
Answer:
The rightmost figure
Step-by-step explanation:
That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square
I would like to pic yes :)
