Not sure but i think its 60 i hope its right
Answer:
.. q T 0 = (q/p)a (q/p)a − (q/p)T−10 if p ≠ q and qT0 = 1 − T0/a if p = q = 1/2.
Step-by-step explanation:
Suppose that there are two different solutions, p and q, in [a, b]. Thus p =g(p) q =g(q) p ≠ q The function g(x) satisfies the hypotheses of the mean-value ... that g(p) –g(q) = (p – q) g׳(t) Because g(p) =p and g(q) = q, the left side of Eq. (1-3) may...
Answer:
X² = 13.5
Degree of freedom = 6
0.04
Step-by-step explanation:
Give the following :
Number of samples (n) = 7
Population standard deviation (σ) =.4 minutes
Sample standard deviation (s) = 6
Mean battery life = 60 minutes
A) Chisquare (X²) :
X² = ((n - 1) * s²) / σ²
X² = ((7 - 1) * 6²) / 4²
X² = (6 * 6²) / 4²
X² = (6 * 36) / 16
X² = 216 / 16
X² = 13.5
B.) The degree of freedom:
degree of freedom = n - 1
Degree of freedom = 7 - 1 = 6
C.) using a chisquare distribution calculator :
With degree of freedom (df) = 6
X² = 13.5
Hence,
P(X² > 13.5) = 0.04 ( from calculator)
Answer:
![\displaystyle V = 28 \pi \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%2028%20%5Cpi%20%5C%20ft%5E3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: ![\displaystyle V = \pi r^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cpi%20r%5E2h)
- V is volume
- r is radius
- h is height
Step-by-step explanation:
<u>Step 1: Define</u>
Radius <em>r</em> = 2 ft
Height <em>h</em> = 7 ft
<u>Step 2: Solve for V</u>
- Substitute in variables [Volume of a Cylinder Formula]:
![\displaystyle V = \pi (2 \ ft)^2(7 \ ft)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cpi%20%282%20%5C%20ft%29%5E2%287%20%5C%20ft%29)
- [Volume] Evaluate exponents:
![\displaystyle V = \pi (4 \ ft^2)(7 \ ft)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cpi%20%284%20%5C%20ft%5E2%29%287%20%5C%20ft%29)
- [Volume] Multiply:
![\displaystyle V = 28 \pi \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%2028%20%5Cpi%20%5C%20ft%5E3)