Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
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The average can be given by the following formula:
Average = (a1 + a2 + a3 + a4 + a5) / (5).
Equivalently.
Average = (ai) / (i).
Where,
i = 1,2,3,4, ..., n
Substituting
Average = (90 + 85 + 80 + 75 + 75) / (5).
Average = 81
answer:
Average = (a1 + a2 + a3 + a4 + a5) / (5).
or
Average = (ai) / (i).
Where,
i = 1,2,3,4, ..., n
Answer: Answers and work are all in the picture that I attached. Hope this helps
Answer:
4.444
Step-by-step explanation:
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Answer:
1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)
2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)
Step-by-step explanation:
If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,
Here, the given statement,
1. ∃y ∈Z such that ∀x ∈Z, R (x + y)
By the above definition,
Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),
2. Similarly,
The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),
∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)