Answer:
Mean = (19 + 20 + 21 + 22 + 23)/5 = 105/5 = 21
x x - mean (x - mean)^2
19 -2 4
20 -1 1
21 0 0
22 1 1
23 2 4
Sum = 10
Step-by-step explanation:
Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
Given:
is the transversal that intersects the lines r and s.
Required:
Pairs of alternate exterior angles.
Explanation:
Line q intersects the lines r and s.
The alternate exterior angles are,

Answer:
Thus the required answer is option 2.
[tex}r - 5 \frac{5}6 + 5\frac{5}6 = 10 +5\frac{5}6{/tex]