He wants the page to have one of each of the four varieties on it. There are 9 daisies to choose from, 7 roses, 5 dandelions, and 2 pansies, so there are
9*7*5*2 = 630
ways of arranging one of each on the page.
The answer is 40.
Because when you multiply 2 numbers, it becomes a positive number.(-4x10 or -2x3)
But if it were only one negative and positive then it would be negative because the answer is negative when you multiply by one negative number.
The third option has like terms as they can be added based on the term. For example numbers with x, x^2, x^3 etc can be added together. For example x+x can be added but x+x^2 can’t. They have different terms that make them different.
Answer:
See Below.
Step-by-step explanation:
<u>Statements:</u> <u>Reasons:</u>
<u />
Given
Definition of a parallelogram
Opposite sides of a parallelogram are ≅.
Opposites sides of a parallelogram are ≅.
Reflexive Property.
SSS Congruence.
Notes: AAA and SAA are not theorems of congruence.
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,9]. We will use the following
![E[X^k] = \int_{4}^{9}x^k f(x) dx](https://tex.z-dn.net/?f=E%5BX%5Ek%5D%20%3D%20%5Cint_%7B4%7D%5E%7B9%7Dx%5Ek%20f%28x%29%20dx)
![Var(X) = E[X^2}- (E[X])^2](https://tex.z-dn.net/?f=Var%28X%29%20%3D%20E%5BX%5E2%7D-%20%28E%5BX%5D%29%5E2)
Standard deviation = ![\sqrt[]{Var(X)}](https://tex.z-dn.net/?f=%20%5Csqrt%5B%5D%7BVar%28X%29%7D)
Mean = ![E[X]](https://tex.z-dn.net/?f=E%5BX%5D)
Then,
![E[X] = \int_{4}^{9}\frac{1}{5}dx = \frac{9^2-4^2}{2\cdot 5} = \frac{13}{2}](https://tex.z-dn.net/?f=E%5BX%5D%20%3D%20%5Cint_%7B4%7D%5E%7B9%7D%5Cfrac%7B1%7D%7B5%7Ddx%20%3D%20%5Cfrac%7B9%5E2-4%5E2%7D%7B2%5Ccdot%205%7D%20%3D%20%5Cfrac%7B13%7D%7B2%7D)
![E[X^2] = \int_{4}^{9}\frac{x^2}{5}dx = \frac{9^3-4^3}{3\cdot 5} = \frac{133}{3}](https://tex.z-dn.net/?f=E%5BX%5E2%5D%20%3D%20%5Cint_%7B4%7D%5E%7B9%7D%5Cfrac%7Bx%5E2%7D%7B5%7Ddx%20%3D%20%5Cfrac%7B9%5E3-4%5E3%7D%7B3%5Ccdot%205%7D%20%3D%20%5Cfrac%7B133%7D%7B3%7D)
Then, 
Then the standard deviation is ![\frac{5}{2\sqrt[]{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%5Csqrt%5B%5D%7B3%7D%7D)
