3.7491739193721... because rational numbers are numbers like -3 -2 -1 0 1 2 3 and decimals like 3.3333333 and 1.62162162162162 because they repeat the same numbers like a pattern, with 3 repeating or 162.The decimal 3.7491739193721... is not rational, or irrational because it is not repeating or terminating, or stopped.
Answer:
- <u>Option</u><u> </u><u><em>A</em></u><em>. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.</em>
Explanation:
The <em>relative frequency</em> can be measured as a ratio (proportion) or as a percentage.
As a ratio, the relative frequency is the number of times that the desired outcome is observed (either theoretically or experimentally) divided by the total number of possible outcomes (theoretically) or observed (experimentally).
As a<em> percentage</em>, the relative frequency is the ratio multiplied by 100.
This shows it mathematically:
- relative frequency of event 1 = frequency of event 1 / number of events
- relative frequency of event 2 = frequency of event 2/number of events
- relative frequency of event n = freqquency of event n/number of events
- Total relative frequency = sum of of relative frequencies
= sum of all (n) frequencies / number of events =
= number of events / number of events = 1
As a percentage, total relative frequency = 1 × 100 = 100
Answer:
m= 1/7
Step-by-step explanation:
To solve for slope: y2- y1/ x2- x1 so,
1-2/ -2-5
= -1/ -7
= 1/7
Answer:
k = 2
Step-by-step explanation:
Given the equations:
g(x) = 3x² + 8x + k
f(x) = 2x - 1
At the intersection point:
g(x) = f(x)
3x² + 8x + k = 2x - 1
3x² + 6x + (k+1) = 0
If there is only one intersection point, the discriminant must be equal to zero:
b² - 4(a)(c) = 0
6² - 4(3)(k+1) = 0
36 - 12(k+1) = 0
36 - 12k - 12 = 0
24 = 12k
24/12 = k
2 = k
