Note that a percentile tells us how many percents of numbers that are above the number at the percentile. So the 70th percentile tells us that 70% of the students are taller than Jake. That means 30% of the students are either at the same height or shorter than Jake.
30% of 1100 would be 0.3*1100 = 330.
So there are 330 students that are either at the same height or shorter than Jake.
Answer:
x=4/3, y=11/3. (4/3, 11/3).
Step-by-step explanation:
y=-x+5
5x+2y=14
----------------
5x+2(-x+5)=14
5x-2x+10=14
3x=14-10
3x=4
x=4/3
y=-4/3+5=-4/3+15/3=11/3
Answer:
See below
Step-by-step explanation:
Short solution given below
<u>Properties used in solution:</u>
- Sum of angles of triangle is 180°
- Supplementary angles add up to 180°
- Vertical angles are equal
13.................................................
∠1 = ∠4 = ∠5 = ∠8 = 130°
∠2 = ∠3 = ∠6 = ∠7 = 180° -130° = 50°
14.................................................
2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°
2y = x ⇒ 2y = 30° ⇒ y = 15°
z + 2y = 180° ⇒ z + 30° = 180° ⇒ z = 150°
15.................................................
5x - 20° = 3x ⇒ 2x = 20° ⇒ x = 10°
5x - 20° + 2y + 4y = 180° ⇒ 5*10° - 20° + 6y = 180° ⇒ 30° + 6y = 180° ⇒ y =25°
Answer:
y = -2x + 6
Step-by-step explanation:
y = mx + c
m = (2-4)/(2-1) = -2/1
m = -2
y = -2x + c
When x = 1, y = 4
4 = -2(1) + c
c = 4 + 2 = 6
y = -2x + 6
Answer:
125
Step-by-step explanation:
