Answer:
First quartile = 3.5
Third quartile = 6.5
Step-by-step explanation:
Sales for last 20 hours :
3, 4, 5, 5, 6, 7
Using the data given :
The first quartile, Q1 ;
Q1 = 1/4(n+1)th term
n = 6
Q1 = 1/4(6 + 1)th term
Q1 = 7/4 = 1.75 th term
(3 + 4) / 2 = 7/2 = 3.5
The third quartile, Q3:
Q3 = 3/4(n+1)th term
n = 6
Q3 = 3/4(6 + 1)th term
Q3 = 21/4 = 5.25th term
(5th + 6th) term / 2
(6 + 7) / 2 = 13/2 = 6.5
Answer:
a) ∠2 and ∠4 are a linear pair
∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
∠7 = 65°
c) ∠2 and ∠3 are vertical angles
∠3 = 65°
Step-by-step explanation:
Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.
Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>
a) ∠2 and ∠4 are a linear pair
⇒ ∠2 +∠4 = 180
⇒ 65 + ∠4 = 180
⇒ ∠4 = 180 - 65
⇒ ∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
⇒ ∠2 ≅ ∠7
⇒ ∠7 = 65°
c) ∠2 and ∠3 are vertical angles
⇒ ∠2 ≅ ∠3
⇒ ∠3 = 65°
The probability is .919
I used normCdf(1.48,15.56,8,4).
Or
normCdf(-1.63,1.89,0,1) if you standardize your numbers
