Problem 13
If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.
- Example: x^3 times x^3 = x^6 in the top left corner
- Another example: 2x times x = 2x^2 in the bottom right corner.
This is known as the box method to keep track of all the terms multiplied.
Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).
The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2
Hello!
Advantages of a capitalist economic system:
• Economic growing and expansion.
• Consumer choice (The consumers get to choose what to consume, which leads to better products and services).
• Efficiency of economics (Goods and services based on demand)
Disadvantages of a capitalist economic system:
• Inequality (A small group of people hold most of the wealth)
• There can be a monopoly of power (a specific enterprise is the only supplier of particular commodity)
• Unemployment
• Social benefit ignored. A free market will ignore externalities.
No, I feel the disadvantages outweigh the advantages, because there are more of them.
Answer:
0.18
Step-by-step explanation:
C is a subpath of A,
first P(A) = 0.6 since the line leading to A says .6
the probability of choosing C is 0.3, but first we have to assume A is chosen. The true probability is 0.3 * 0.6 = 0.18
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : 
, which is a large sample , so we apply z-test .
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Now, a confidence interval at the 95% level of confidence will be :-
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
