Answer:
Carmen has the biggest red to green apple ratio
Step-by-step explanation:
Red to green apple ratios are, in order, 20:12, (5:3), 12:10 (6:5), and 16:20 (4:5). 5:3 is the biggest red to green apple ratio because for every 5 red apples Carmen has 3 green apples.
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Answer:
Step-by-step explanation:
Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.
Required probability = the probability for the shuttle to be launched on time
= Probability that all three do not fail
Since each key device is independent of the other
we have
prob that all three do not fail = 
Heyo. Let's go ahead and set this problem up
It should look like this
12x + 125 = 725
The variables can be another letter, doesn't matter.
12 will stand for the months in a year
x is the amount paid per month
125 is the registration free
725 is the one year membership total
Subtract both sides by 125 to get:
12x = 600
Divide both sides by 12 to get:
x=50
That being said, each month, a new member will pay $50.
