Answer:
Step-by-step explanation:
A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...
(1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal
Samantha made 4 gallons of punch.
__
1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...
(1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal
Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.
Answer:
Step-by-step explanation:
This study investigated three mathematics teachers' construction process of geometric structures using compass and straightedge. The teacher-student-tool interaction was analysed. The study consists of the use of a compass and straightedge by the teachers, the ideas of the teachers about their use, and the observations regarding the learning process during the construction of the geometric structures. A semi-structured interview was conducted with the teachers about the importance of the use of a compass and straightedge to construct geometric structures. It was found that teachers taught compass and straightedge constructions in a rote manner where learning is little more than steps in a process. The study concludes with some suggestions for the use of a compass and straightedge in mathematics classes based on the research results. SUMMARY Purpose and significance: For more than 2,000 years, the way in which geometric structures could be constructed with the help of compasses and straightedges has caught the attention of mathematicians. Nowadays, mathematics curriculums place an emphasis on the use of the compass and straightedge. The compass and straightedge is more important in constructing geometric structures than other drawing tools such as rulers and protractors. Because steps taken with a compass and straightedge cannot be seen at first glance and this situation become a problem for students. However, 'doing compass and straightedge construction early in the course helps students to understand properties of figures'
Answer:
Thats FALSE.
The concept CORRELATION not automatically means CAUSATION.
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
Solution to the problem
Some useful concepts are:
Correlation is a statistical measure described with a number that describes the size and direction of a relationship between two or more variables. The correlation between variables, NOT mean that the change in one variable is the cause of the change in the values of the other variable.
Causation is a term refered to one event as the result of the occurrence of the other event for example, there is a causal relationship between event A and B like a cause and effect. One important thing to mention here is that the causation is not an easy concept to measure.
"The difference between the two types of relationships are easy to identify since one can be measured with a numerical value and the other no (Here is one example: smoking causes an increase in the risk of developing lung cancer), or it can correlate with another ( smoking is correlated with alcoholism, but it does not cause alcoholism)".
So is clear that the concept CORRELATION not automatically means CAUSATION.
a 
7
because 4a + 7 - 7 35 - 7
equals 4a 28
and 4a/4 28/4
equals a 7
From the second equation ,we can know that y=3.25x+0.75
plug it into the first equation
-4.5x-2(3.25x+0.75)=-12.5
-4.5x-6.5x-1.5=-12.5
-11x=-11
x=1
plug it back into the second equation, y=3.25x+0.75=4
the answer would be (1,4)
