P( both allergic) = 0.17*0.17 = 0.0289
P(at least one is allergic) = 1 - P(neither are allergic) = 1 - 0.83^2 = 0.311
The polynomials can´t contain:
-Variables in the exponents of the terms.
-Variables in the denominator.
- Negative exponents.
-Fractionals exponents.
-The variables cant be as radicals.
Therefore:
a) It is a polynomial (The variable is under a radical)
b) It is not a polynomial.
c) It is a polynomial.
d) It is not a polynomial. (It has a variable in the denominator).
e) It is a polynomial.
f) It is not a polynomial. <span> (It has a </span><span>variable in the denominator).</span>
Answer:
a) μ =35.858KN
b) median cable strength =36.06KN
Step-by-step explanation:
Let X1, X2, X3, X4 represent the strength of the 4 wires.
We can find the median of the cable strength in minitab as:
Stat - Basic statistics- Display descriptive statistics-variable (C5) -statistics(median) - ok
Median cable strength is 36.06 KN
Therefore the estimate of the mean strength of the cable is 35.858 KN, and the estimate of the median cable strength is 36.06 KN.
The answer is -18/(-2+d). I enclosed the -2+d to show that all of it is the denominator.
Answer:
![\large\boxed{(7x+5)(2x^3-4x^2+9x-3)=14x^4-18x^3+43x^2+24x-15}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%287x%2B5%29%282x%5E3-4x%5E2%2B9x-3%29%3D14x%5E4-18x%5E3%2B43x%5E2%2B24x-15%7D)
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
![(7x+5)(2x^3-4x^2+9x-3)\\\\=(7x)(2x^3)+(7x)(-4x^2)+(7x)(9x)+(7x)(-3)\\+(5)(2x^3)+(5)(-4x^2)+(5)(9x)+(5)(-3)\\\\=14x^4-28x^3+63x^2-21x+10x^3-20x^2+45x-15\\\\\text{combine like terms}\\\\=14x^4+(-28x^3+10x^3)+(63x^2-20x^2)+(-21x+45x)-15\\\\=14x^4-18x^3+43x^2+24x-15](https://tex.z-dn.net/?f=%287x%2B5%29%282x%5E3-4x%5E2%2B9x-3%29%5C%5C%5C%5C%3D%287x%29%282x%5E3%29%2B%287x%29%28-4x%5E2%29%2B%287x%29%289x%29%2B%287x%29%28-3%29%5C%5C%2B%285%29%282x%5E3%29%2B%285%29%28-4x%5E2%29%2B%285%29%289x%29%2B%285%29%28-3%29%5C%5C%5C%5C%3D14x%5E4-28x%5E3%2B63x%5E2-21x%2B10x%5E3-20x%5E2%2B45x-15%5C%5C%5C%5C%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D14x%5E4%2B%28-28x%5E3%2B10x%5E3%29%2B%2863x%5E2-20x%5E2%29%2B%28-21x%2B45x%29-15%5C%5C%5C%5C%3D14x%5E4-18x%5E3%2B43x%5E2%2B24x-15)