Step 1:
Find the difference between the two numbers.
$2.40-$1.44= $0.96
Step 2:
Divide by the original number.
$0.96/1.44= 0.667
Step 3:
Multiply by 100 to find percent increase.
0.667 * 100= 66.7% rounded to one decimal place or 67% rounded
Hope this helped! :)
X + y = 2
Substitute x + 8 into y
x + x + 8 = 2
2x + 8 =2
(Subtract 8 from both sides)
2x = -6
(Divide both sides by 2)
x = -3
Subsitute x = -3 into either equation to find y
x + y = 2
-3 + y = 2
(Add 3 to both sides)
y = 2 + 3
y = 5
Or y can be solved for using:
y = x + 8
y = -3 + 8
y = 5
Answer:
ρ_air = 0.15544 kg/m^3
Step-by-step explanation:
Solution:-
- The deflated ball ( no air ) initially weighs:
m1 = 0.615 kg
- The air is pumped into the ball and weight again. The new reading of the ball's weight is:
m2 = 0.624 kg
- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.
m_air = Δm = m2 - m1
m_air = 0.624 - 0.615
m_air = 0.009 kg
- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:
V_air = 4*π*r^3 / 3
V_air = 4*π*0.24^3 / 3
V_air = 0.05790 m^3
- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:
ρ_air = m_air / V_air
ρ_air = 0.009 / 0.05790
Answer: ρ_air = 0.15544 kg/m^3
There are only 1*26 and 2*13 so there is no answer unless you allow decimals.
The variables have a negative association/correlation, because when one value increases (ex: x) the other decreases (see y)
If you would put a line through the dataset most of the points would be quite a bit off the line so the association is only moderate and not strong
so the answer is it is a "moderate negative association"
