Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
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Answer:
24x^2 + 48x + 24
Step-by-step explanation:
Answer:
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- <u>1. As a fraction: 9/50</u>
- <u>2. As a proportion: x/1 = 9/50</u>
- <u>3. As a percentage: 18%</u>
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Explanation:
<u>1. As a fraction:</u>
Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:
- Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week
<u>2. As a proportion:</u>
A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.
Hence, the proportion that shows the probability is:
Where x is the probability.
<u>3. As a percentage</u>
You just have to multiply the probability by 100:
For each, you'll use the slope formula
m = (y2-y1)/(x2-x1)
For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6
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For function g, you'll use (2,4) and (3,20)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16
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For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6
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The order from left to right is: h, f, g
Answer:
4/25
Step-by-step explanation:
12 divided by 3
72 divided by 3
Greatest Common Divisor:
3
So 12/72 simplifed would be 4/25 and the GCD would be 3.
