Answer: 0.80
Step-by-step explanation:
Given : The owner of the West End Kwick Fill Gas Station wishes to determine the proportion of customers who pay at the pump using a credit card or debit card.
He surveys 100 customers and finds that 80 paid at the pump.
Then, sample proportion= 
Since , the best point estimate for population proportion is sample proportion.
Therefore, the estimated value for population proportion =0.80
The situation that is a function is: C. The weight of a package and the cost of postage.
<h3>What is a Function?</h3>
A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.
In a function, the output value is dependent on the input value.
For example, the cost of postage (output) is dependent on the weight of a package (input).
Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.
Learn more about function on:
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Answer:
A. 1/5
Step-by-step explanation:
Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.
Answer:
See answer below
Step-by-step explanation:
The statement ‘x is an element of Y \X’ means, by definition of set difference, that "x is and element of Y and x is not an element of X", WIth the propositions given, we can rewrite this as "p∧¬q". Let us prove the identities given using the definitions of intersection, union, difference and complement. We will prove them by showing that the sets in both sides of the equation have the same elements.
i) x∈AnB if and only (if and only if means that both implications hold) x∈A and x∈B if and only if x∈A and x∉B^c (because B^c is the set of all elements that do not belong to X) if and only if x∈A\B^c. Then, if x∈AnB then x∈A\B^c, and if x∈A\B^c then x∈AnB. Thus both sets are equal.
ii) (I will abbreviate "if and only if" as "iff")
x∈A∪(B\A) iff x∈A or x∈B\A iff x∈A or x∈B and x∉A iff x∈A or x∈B (this is because if x∈B and x∈A then x∈A, so no elements are lost when we forget about the condition x∉A) iff x∈A∪B.
iii) x∈A\(B U C) iff x∈A and x∉B∪C iff x∈A and x∉B and x∉C (if x∈B or x∈C then x∈B∪C thus we cannot have any of those two options). iff x∈A and x∉B and x∈A and x∉C iff x∈(A\B) and x∈(A\B) iff x∈ (A\B) n (A\C).
iv) x∈A\(B ∩ C) iff x∈A and x∉B∩C iff x∈A and x∉B or x∉C (if x∈B and x∈C then x∈B∩C thus one of these two must be false) iff x∈A and x∉B or x∈A and x∉C iff x∈(A\B) or x∈(A\B) iff x∈ (A\B) ∪ (A\C).
Answer:
-28
Step-by-step explanation:
52-24= 28
so the opposite
24-58= -28
