Answer:
this is correct on plato/edmentum
Step-by-step explanation:
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1 answer:
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Answer:
Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic.
According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.
There are many different ways to go about proving something, we'll discuss 3 methods: direct proof, proof by contradiction, proof by induction. We'll talk about what each of these proofs are, when and how they're used. Before diving in, we'll need to explain some terminology.
Although I will focus on proofs in mathematical education per the topic of the question, first and foremost proofs are so hard because they involve taking a hypothesis and attempting to prove or disprove it by finding a counterexample. There are many such hypotheses that have (had) serious monetary rewards available.
In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.
All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.
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Answer:
And we can use the z score formula given by:
And if we find the parameters we got:
And we can find the z score for the value of 0.4 and we got:
And we can find this probability:
And if we use the normal standard table or excel we got:
Step-by-step explanation:
For this case we have the following info given:
represent the proportion of the company's orders come from first-time customers
represent the sample size
And we want to find the following probability:
And we can use the normal approximation since we have the following two conditions:
1) np = 158*0.26 = 41.08>10
2) n(1-p) = 158*(1-0.26) = 116.92>10
And for this case the distribution for the sample proportion is given by:
And we can use the z score formula given by:
And if we find the parameters we got:
And we can find the z score for the value of 0.4 and we got:
And we can find this probability:
And if we use the normal standard table or excel we got:
0.5% or 1/2% of say "x" is 250, whilst "x" is the 100%.