1/15
1/3 chance of getting elf, 1/5 chance of getting magic so the chance of getting both is 1/3x1/5=1/15
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
Answer:
The given expression consists of 2 factors, and each factor contains 3 terms.
Step-by-step explanation:
Given the expression (a+b+c)(d+e+f)
Factors are parts of expression that are connected by multiplication. we are multiplying (a+b+c) and (d+e+f) so we said (a+b+c) and (d+e+f) are factors of the expression.
Hence, there are 2 factors in given expression.
A mathematical expression contains numbers, variables and operators joined by addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are known as terms.
In each factor (a+b+c) and (d+e+f) three terms are connected by addition. Hence, there are 3 terms in both the factors.
The awnser is D. It's correct.
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
