Two less than five times a number is equal to 10 more than seven times the number. What is the number?
1 answer:
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Answer:
The statement is neither a tautology nor a contradiction.
Step-by-step explanation:
A tautology is a statement that is always true.
A contradiction is a statement that is always false.
We are going to use a truth table to determine whether the statement is a tautology, contradiction, or neither
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The statement is compound by these simple statements:
and we are going to use these simple statements to build the truth table.
The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.
Answer:
Cutoff for a failing score is 49 and 2.28% students failed.
Step-by-step explanation:
We have been given that scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 4.
2 standard deviation below mean would be,
Therefore,Cutoff far a failing score is 49.
Now let us find out the z-score for our given values,
Now let us look up the probability from normal distribution table.
Therefore, percentage of students failed is 2.28%.