Answer:
The correlation between exam score and amount of time spent on the exam is an example of a <u>negative correlation</u>.
Step-by-step explanation:
Consider the provided statement.
College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.
That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.
Now consider time as first variable and marks as second variable.
That means as the first variable increase the second variable decreases.
According to the definition of Negative correlation: It is a relationship between two variables in which one variable increases as the other decreases, and vice versa.
Hence, the correct answer is negative correlation.
Answer:
The number is <u>20</u>.
Step-by-step explanation:
In this question, it is said that 35% of a number is equal to 7, then what is that number?
So, let the number be <em>x</em>.
Now, according to the question :
Hence, the number is 20.
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
