The first thing we are going to do for this case is define variables.
We have then:
x: number of gallons of water
y: total weight
We then have an equation of the form:
Where,
Substituting values:
We choose an ordered pair:
Substituting values:
Rewriting:
Answer:
y = 8.34x + 30
Answer:
A = x⁵ + 13x³ - 9x² + 40x - 72
Step-by-step explanation:
The formula for the area of a rectangle is length X width, or A = lw.
Substitute the equations for the sides into the formula:
A = lw
A = (x² + 8)(x³ + 5x - 9) <= use the distributive property
A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72 <= collect like terms
A = x⁵ + 13x³ - 9x² + 40x - 72
Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
Answer:
Please add the diagram
Step-by-step explanation:
