In a statistics class, students were asked how many siblings they have. Their responses are shown. 2, 3, 1, 3, 5, 3, 3, 3, 6, 3,
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Answer:
C as there is only 1 student with 2 siblings.
Answer:
The statement 
is a contingency.
The statement 
is a contradiction.
Step-by-step explanation:
A tautology is a proposition that is always true.
A contradiction is a proposition that is always false.
A contingency is a proposition that is neither a tautology nor a contradiction.
a) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Commutative law.
by the Negation law.
Therefore the statement is a contingency.
b) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Negation law.
Therefore the statement is a contradiction.
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
The jogger will burn 277.5 calories
Try multiplying if it doesn't work divide
