Answer:
Infinitely many solutions
Step-by-step explanation:
Answer: The numbers are 14, 16 and 18.
Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.
Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.
Our equation now becomes;
a + a + 2 + a + 4 = 48
3a + 6 = 48
Subtract 6 from both sides of the equation
3a = 42
Divide both sides of the equation by 3
a = 14
Therefore, the numbers are 14, 16 and 18.
A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)
Answer:
This sampling method used in this question is the stratified sampling method.
Step-by-step explanation:
There are about 5 known sampling methods.
- Random Sampling
In random sampling, each member of the population has an equal chance of being surveyed. All the students are given a number and random numbers are generated to pick the students to be surveyed.
- Systematic sampling
This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from all or some of these strata using either random, systematic, or convenience sampling. This is evidently the answer to the question as the students are divided into homerooms (strata) and samples are now randomly taken from 3 randomly selected strata.
Hope this Helps!!!
For this case we must express the following expression algebraically:
<em>"The quotient of b and 2 minus 4 is at least 26"</em>
So we have to:
The quotient of b and 2 minus 4, is represented as:
We have different signs subtracted and the sign of the major is placed:
Thus, the expression is written as:
ANswer:
