Answer:
yes no total
girls 58 32 90
boys 52 40 92
total 110 72 182
Step-by-step explanation:
if 182 freshmen were surveyed and 110 said yes, then 182 - 110 = 72 said no
if 40 boys said no, then 72 - 40 = 32 girls said no
if 90 girls were surveyed, then 182 - 90 = 92 boys were surveyed
if 40 boys said no, then 92 - 40 = 52 said yes
if 32 girls said no, then 90 - 32 = 58 said yes
Answer:
Yes, they are parallel
Step-by-step explanation:
Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)
Find the slope of line M:
(y2 - y1) / (x2 - x1)
(2 - 0) / (-3 + 5)
2/2
= 1
Find the slope of line N:
(y2 - y1) / (x2 - x1)
(4 - 2) / (0 + 2)
2/2
= 1
So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.
They are parallel.
Total distance 5 km; at 5km / 0.65 h =
Second part distance: x; at 6 km/h, during t2
First part distance: 5 - x; at 8.75 km/h, during t1
V = d/t ⇒ t = d/V
t2 = x/6
t1=[5-x]/8.75
t2 + t1 = 0.65
x/6 + [5-x]/8.75 = 0.65
x/6 + 5/8.75 - x/8.75 = 13/20
x/6 - x/8.75 = 13/20 - 5/8.75
x/6 - 4x/35 =13/20 - 20/35
35x - 24x = (35*6)(35*13 - 20*20)/(20*35)
11 x = 16.5
x = 16.5/11 = 1.5 km
