Answer:
The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Step-by-step explanation:
In order to simplify the expression 
where x ≠ 0, y ≠ 0, we must work through the given expression.
The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Here are 3 questions with their respective answers.1) Find 
Answer: 4.Explanation:This expression indicates the
limit as the function f(x) approaches 2 from the right side.You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.
That line has an open circle at
y = 4, which is the limit we are looking for.
2) Analyze the graph to see if the limit exists.Answer: 
To find each limit,
utilize the function approaching from the direction of x.It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.
3)
Answer: -1
To determine the limit as the function approaches 3 from the left,
follow the line ending with an open circle at (3, -1).Hence, the limit is -1.
Answer:
Explanation step-by-step:
Let
x represent Hermione's salary prior to the raise
Given:
Therefore, the equation that expresses this relationship is
To find x, divide both sides by 1.05:
Answer: d. AB = CD and BC = AD
Step-by-step explanation:
A parallelogram is defined as a four-sided figure with the following characteristics:-
- Opposite sides are equal (AB = CD and BC = AD
).
- Opposite angles are equal (∠A=∠C and ∠D=∠B).
- Consecutive angles are supplementary (∠A + ∠D = 180°).
- The diagonals bisect one another.
- If one angle is a right angle, then all angles are right angles.
(a) The likelihood that all 5 eggs chosen are unspoiled is 0.0531. (b) The probability that 2 or fewer out of the 5 eggs are unspoiled is 0.3959. (c) The probability that more than 1 of the selected 5 eggs are unspoiled is 0.8747. Step-by-step explanation: The complete query is: A subpar carton of 18 eggs has 8 that are spoiled. An unsuspecting chef selects 5 eggs at random for his “Mega-Omelet Surprise.” Calculate the probability of receiving (a) exactly 5 unspoiled eggs, (b) 2 or fewer, and (c) more than 1 unspoiled egg. Define X = number of unspoiled eggs. In the faulty carton, 8 eggs are spoiled. The probability of selecting an unspoiled egg is independent of others. Provided that a chef randomly picks 5 eggs, the variable X follows a Binomial distribution with parameters n = 5 and p = 0.556. Success is defined as selecting an unspoiled egg. The probability mass function of X is as follows: (a) Calculate the probability of selecting all unspoiled eggs. Thus, this probability is found to be 0.0531. (b) For 2 or less unspoiled eggs, the probability is computed: P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2), resulting in a probability of 0.3959. (c) For more than 1 unspoiled egg: P (X > 1) = 1 - P (X ≤ 1), yields a final probability of 0.8747.
