Answer:
3/11
Step-by-step explanation:
it is 3/11 because you do y1-y2 divided by x1-x2
If they are parallel then the coefficients of x and y will remain the same. Only the constant will change.
2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5
ANSWER: 2x + 3y = 5
v varies directly with height means
v/h=k were k is a constant
or also h/v=k where k is a constant (this is a different k than previous)
so if h=12 and v=300 then
h/v=12/300=1/25=k
so the relationhip could be h/v=1/25
if you di v/h, then
v/h=300/12=25/1=25=k
so the relationship could be v/h=25
Answer:
0.98046
Step-by-step explanation:
Given:
Here we are required to find
P(5.48 <X<5.82) and between 5.48 and 5.82 we each z-score given by
<em>z = (x - μ) / σ</em>
So 5.48 we have z = -2.714 and 5.82 we have z = 2.143
Therefore we have the area of interest on the normal distribution chart given by
:
P( -2,714 < z < 2.143)
= 1 - P(Z<-2.714) + P(Z > 2.143)
= 1 - P(Z<-2.714) + (1 - P(Z < 2.143))
= 1 - 0.00336 + 1 - 0.98382
= 1 - 0.01954 = 0.98046
The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.
<h3>
How to get the volume of a sphere?</h3>
The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
V = (4/3)*3.14*R^3
In this case, the radius is 12cm, replacing that we get:
V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3
Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109