Answer:
1.2 dollars
Step-by-step explanation:
You have to divide the dollar count by the pound count.
So basically:
6/5
This gives you 1.2 dollars.
When you do unit rate, you just have to divide one value by the other value.
The value you divide by, and the value you divde, vary depending on what the question asks.
For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6 dollars by 5 pounds like we did above(6/5).
Hope this helps!
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
Subtract 2x from each side
2x+3=4x+1
-2x -2x
3=2x+1
subtract 1 from each side
3=2x+1
-1 -1
2=2x
divide each side by 2
2=2x
1=x
Answer:
Inductive reasoning
Step-by-step explanation:
In inductive reasoning, conclusions are made to generally explain other similar or related experience based on observations of a specific occurrence;
Inductive reasoning consists of making conclusions from a given data set
It is a logical thinking approach that makes use of available specific data to make generalization. It is the logical process commonly used by recruiters to seek new employees.
<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
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Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
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If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
