Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
69 cm is one standard deviation below the mean
<span>for a normally distributed (bell curve) population </span>
<span>___ about 68% lie within one standard deviation of the mean ___ 34% above and 34% below </span>
<span>in this case , the 34% below the mean is added to the 50% above the mean (the 1/2 of the population equal to or longer than 79 cm) </span>
<span>so 84% of the population is longer than 69 cm</span>
Simplify by dividing the two by 14
