Alang must visit 8 times to the theatre to earn a free movie ticket.
<h3>What is an expression?</h3>
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Alang has a points card for a movie theatre. He receives 55 reward points just for signing up. He earns 3.5 points for each visit to the movie theatre. He needs 83 points for a free movie ticket.
Form an equation and calculate the number of tickets:-
55 + 3.5N = 83
3.5 N = 83 - 55
3.5N = 28
N = 28 / 3.5
N = 8
Therefore, Alang must visit 8 times to the theatre to earn a free movie ticket.
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A binomial probability density function should be used to represent the probability
<h3>How to determine the type of
probability density?</h3>
The given parameters are:
- Proportion that plays sport, p = 32%
- Number of students selected, p = 50
- The probability, P = (x ≤ 15)
The proportion that plays sport indicates that
68% of the students do not play sport
So, we have two events, which are
- Play sport
- Do not play sport
When there are two possible events, then the binomial probability density function should be used
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Answer:
(b) ∠STU
Step-by-step explanation:
Transversal UT between parallel sides RU and ST creates alternate interior angles RUT and STU. These are congruent.
∠STU has the same measure as ∠RUT
_____
The figure shown is a trapezoid, not a parallelogram.
Based on the given description above, the answer for this would be the term DEMAND. Demand is defined as the consumers' <span>willingness to pay depends on what income and prices of related goods. Hope this is the answer that you are looking for. Have a great day ahead!</span>