Answer:
neither
Step-by-step explanation:
find the slopes of FG and HJ using the slope formula (y_2-y_1)/(x_2-x_1)
FG: (-1+3)/(-2-1)=2/-3=-2/3
HJ: (3-0)/(6-5)=3/1=3
perpendicular lines have slopes that are the negative reciprocal of each other. -2/3's negative reciprocal is 3/2 which isn't 3. the lines aren't parallel or perpendicular
Answer:32
Step-by-step explanation:
Answer:
spike weighs 18lbs
Step-by-step explanation:
doubled means multiply by 2 so 2*9=18
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
We will define the following variables to solve the problem:
x = amount of round trips from 10 tons truck
y = amount of round trips from 12 tons truck
We write the system of equations:
x + y = 20
10x + 12y = 226
The solution to the system of equations is:
x = 7
y = 13
Answer:
10 tons truck makes 7 round trips
12 tons truck makes 13 round trips
